Pub Date : 2026-01-02DOI: 10.1016/j.nahs.2025.101660
Paul K. Wintz , Ricardo G. Sanfelice
A method is proposed for analyzing asymptotic stability in conical hybrid systems with modes. A conical hybrid system is a hybrid system where the state is mapped linearly at jumps and flows according to a constant or linear flow maps during flows, and where the flow and jump sets are conical. Specifically, this paper introduces the conical transition graph (CTG) to simplify the analysis of asymptotic stability in conical approximations by converting solutions to a hybrid system into walks through a discrete graph. By exploiting the fact that pre-asymptotic stability in a conical approximation implies pre-asymptotic stability in the original system, a CTG-based approach can establish asymptotic stability in hybrid systems that have nonlinear flow maps and jump maps without needing to construct a Lyapunov function. Discussion of how to reduce the size of the CTG allow for applying CTG analysis to systems where the CTG would have infinitely many vertices.
{"title":"Conical transition graphs for analysis of asymptotic stability in hybrid dynamical systems","authors":"Paul K. Wintz , Ricardo G. Sanfelice","doi":"10.1016/j.nahs.2025.101660","DOIUrl":"10.1016/j.nahs.2025.101660","url":null,"abstract":"<div><div>A method is proposed for analyzing asymptotic stability in conical hybrid systems with modes. A conical hybrid system is a hybrid system where the state is mapped linearly at jumps and flows according to a constant or linear flow maps during flows, and where the flow and jump sets are conical. Specifically, this paper introduces the conical transition graph (CTG) to simplify the analysis of asymptotic stability in conical approximations by converting solutions to a hybrid system into walks through a discrete graph. By exploiting the fact that pre-asymptotic stability in a conical approximation implies pre-asymptotic stability in the original system, a CTG-based approach can establish asymptotic stability in hybrid systems that have nonlinear flow maps and jump maps without needing to construct a Lyapunov function. Discussion of how to reduce the size of the CTG allow for applying CTG analysis to systems where the CTG would have infinitely many vertices.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101660"},"PeriodicalIF":3.7,"publicationDate":"2026-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-29DOI: 10.1016/j.nahs.2025.101673
Zhongbin Guo , Qingshuo Song , Guangchen Wang
This paper focuses on a conditional mean-field type game of hybrid switching diffusions systems with delay where both the state dynamics and costs are dependent on the conditional expectations of state given switching process. Firstly, we prove that a nonlinear conditional mean-field anticipated backward stochastic differential equation with regime switching admits a unique solution under mild conditions, which is necessary to guarantee the well-posedness of adjoint equations that arise in the optimality condition for Nash equilibrium point. Then, using established results on conditional mean-field anticipated backward stochastic differential equation, we develop a Pontryagin type maximum principle that provides necessary condition for open-loop Nash equilibrium points. Additionally, we establish two verification theorems under different assumptions, which provide sufficient conditions for Nash equilibrium points. Finally, we present three financial applications. Employing the theoretical results derived, we obtain explicit solutions of all the financial applications and provide some numerical examples with sound economic interpretations for demonstration.
{"title":"A conditional mean-field type stochastic differential game of hybrid switching diffusions systems with delay and its applications","authors":"Zhongbin Guo , Qingshuo Song , Guangchen Wang","doi":"10.1016/j.nahs.2025.101673","DOIUrl":"10.1016/j.nahs.2025.101673","url":null,"abstract":"<div><div>This paper focuses on a conditional mean-field type game of hybrid switching diffusions systems with delay where both the state dynamics and costs are dependent on the conditional expectations of state given switching process. Firstly, we prove that a nonlinear conditional mean-field anticipated backward stochastic differential equation with regime switching admits a unique solution under mild conditions, which is necessary to guarantee the well-posedness of adjoint equations that arise in the optimality condition for Nash equilibrium point. Then, using established results on conditional mean-field anticipated backward stochastic differential equation, we develop a Pontryagin type maximum principle that provides necessary condition for open-loop Nash equilibrium points. Additionally, we establish two verification theorems under different assumptions, which provide sufficient conditions for Nash equilibrium points. Finally, we present three financial applications. Employing the theoretical results derived, we obtain explicit solutions of all the financial applications and provide some numerical examples with sound economic interpretations for demonstration.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101673"},"PeriodicalIF":3.7,"publicationDate":"2025-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-23DOI: 10.1016/j.nahs.2025.101674
Vassilis Apidopoulos , Cesare Molinari , Juan Peypouquet , Silvia Villa
We introduce and analyze a continuous primal–dual dynamical system in the context of the minimization problem , where and are convex functions and is a linear operator. In this setting, the trajectories of the Arrow–Hurwicz continuous flow may not converge, accumulating at points that are not solutions. Our proposal is inspired by the primal–dual algorithm by Chambolle and Pock (2011), where convergence and splitting on the primal–dual variables are ensured by adequately preconditioning the proximal-point algorithm. We consider a family of preconditioners, which are allowed to depend on time and on the operator , but not on the functions and , and analyze asymptotic properties of the corresponding preconditioned flow. Fast convergence rates for the primal–dual gap and optimality of its (weak) limit points are obtained, in the general case, for asymptotically antisymmetric preconditioners, and, in the case of linearly constrained optimization problems, under milder hypotheses. Numerical examples support our theoretical findings, especially in favor of the antisymmetric preconditioners.
{"title":"Preconditioned primal-dual dynamics in convex optimization: Non-ergodic convergence rates","authors":"Vassilis Apidopoulos , Cesare Molinari , Juan Peypouquet , Silvia Villa","doi":"10.1016/j.nahs.2025.101674","DOIUrl":"10.1016/j.nahs.2025.101674","url":null,"abstract":"<div><div>We introduce and analyze a continuous primal–dual dynamical system in the context of the minimization problem <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>+</mo><mi>g</mi><mrow><mo>(</mo><mi>A</mi><mi>x</mi><mo>)</mo></mrow></mrow></math></span>, where <span><math><mi>f</mi></math></span> and <span><math><mi>g</mi></math></span> are convex functions and <span><math><mi>A</mi></math></span> is a linear operator. In this setting, the trajectories of the Arrow–Hurwicz continuous flow may not converge, accumulating at points that are not solutions. Our proposal is inspired by the primal–dual algorithm by Chambolle and Pock (2011), where convergence and splitting on the primal–dual variables are ensured by adequately preconditioning the proximal-point algorithm. We consider a family of preconditioners, which are allowed to depend on time and on the operator <span><math><mi>A</mi></math></span>, but not on the functions <span><math><mi>f</mi></math></span> and <span><math><mi>g</mi></math></span>, and analyze asymptotic properties of the corresponding preconditioned flow. Fast convergence rates for the primal–dual gap and optimality of its (weak) limit points are obtained, in the general case, for asymptotically antisymmetric preconditioners, and, in the case of linearly constrained optimization problems, under milder hypotheses. Numerical examples support our theoretical findings, especially in favor of the antisymmetric preconditioners.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101674"},"PeriodicalIF":3.7,"publicationDate":"2025-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-14DOI: 10.1016/j.nahs.2025.101670
Bai Xue
This manuscript presents an innovative framework for constructing barrier functions to bound reachability probabilities for continuous-time stochastic systems described by stochastic differential equations (SDEs). The reachability probabilities considered in this paper encompass two aspects: the probability of reaching a set of specified states within a predefined finite time horizon, and the probability of reaching a set of specified states at a particular time instant. The barrier functions presented in this manuscript are developed either by relaxing a parabolic partial differential equation that characterizes the exact reachability probability or by applying the Grönwall’s inequality. In comparison to the prevailing construction method, which relies on Doob’s non-negative supermartingale inequality (or Ville’s inequality), the proposed barrier functions provide stronger alternatives, complement existing methods, or fill gaps.
{"title":"A new framework for bounding reachability probabilities of continuous-time stochastic systems","authors":"Bai Xue","doi":"10.1016/j.nahs.2025.101670","DOIUrl":"10.1016/j.nahs.2025.101670","url":null,"abstract":"<div><div>This manuscript presents an innovative framework for constructing barrier functions to bound reachability probabilities for continuous-time stochastic systems described by stochastic differential equations (SDEs). The reachability probabilities considered in this paper encompass two aspects: the probability of reaching a set of specified states within a predefined finite time horizon, and the probability of reaching a set of specified states at a particular time instant. The barrier functions presented in this manuscript are developed either by relaxing a parabolic partial differential equation that characterizes the exact reachability probability or by applying the Grönwall’s inequality. In comparison to the prevailing construction method, which relies on Doob’s non-negative supermartingale inequality (or Ville’s inequality), the proposed barrier functions provide stronger alternatives, complement existing methods, or fill gaps.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101670"},"PeriodicalIF":3.7,"publicationDate":"2025-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-10DOI: 10.1016/j.nahs.2025.101669
Zhi Li , Yulin Du , Meiqian Liu , Liping Xu , Litan Yan
In this paper, we investigate a class of stochastic differential equations with Markovian switching driven by tempered fractional Brownian motion. First, we develop some generalized Itô formula and capture some sufficient conditions to guarantee the solutions to be stable in several different senses in terms of Lyapunov functions. Subsequently, by using the generalized Itô formula and stopping time techniques, we obtain some sufficient conditions ensuring the non-confluence property for the considered equations. Additionally, we present two important corollaries on the non-confluence property by the Poisson equation and -matrix, respectively, which can verify the non-confluence property more effectively than the general condition. Finally, we provide an example to illustrate the practical usefulness of our theoretical results.
{"title":"Asymptotic behavior of solutions to stochastic differential equations driven by tempered fractional Brownian motion with Markovian switching","authors":"Zhi Li , Yulin Du , Meiqian Liu , Liping Xu , Litan Yan","doi":"10.1016/j.nahs.2025.101669","DOIUrl":"10.1016/j.nahs.2025.101669","url":null,"abstract":"<div><div>In this paper, we investigate a class of stochastic differential equations with Markovian switching driven by tempered fractional Brownian motion. First, we develop some generalized Itô formula and capture some sufficient conditions to guarantee the solutions to be stable in several different senses in terms of Lyapunov functions. Subsequently, by using the generalized Itô formula and stopping time techniques, we obtain some sufficient conditions ensuring the non-confluence property for the considered equations. Additionally, we present two important corollaries on the non-confluence property by the Poisson equation and <span><math><mi>M</mi></math></span>-matrix, respectively, which can verify the non-confluence property more effectively than the general condition. Finally, we provide an example to illustrate the practical usefulness of our theoretical results.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101669"},"PeriodicalIF":3.7,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-08DOI: 10.1016/j.nahs.2025.101672
Aya Younes, Félix Miranda-Villatoro, Bernard Brogliato
This article is largely concerned with the trajectory tracking control of frictional oscillators, which are nonsmooth nonlinear dynamical systems. The trajectory tracking problem, which is studied under a passivity-based controller addresses three main cases: the nominal case with known friction coefficient, uncertain friction coefficient, and when the Coulomb friction model is enhanced by including Stribeck effects. Monotonicity (or hypomonotonicity) of the friction model is crucial for the stability analysis of the tracking error. It can be relaxed to hypomonotonicity to handle Stribeck model. The framework of linear complementarity systems is used for the analysis. The case of a two-mass system is tackled as an extension of the standard one-mass oscillator. Theoretical results are supported by numerical simulations.
{"title":"Passivity-based trajectory tracking control in frictional oscillators with set-valued friction","authors":"Aya Younes, Félix Miranda-Villatoro, Bernard Brogliato","doi":"10.1016/j.nahs.2025.101672","DOIUrl":"10.1016/j.nahs.2025.101672","url":null,"abstract":"<div><div>This article is largely concerned with the trajectory tracking control of frictional oscillators, which are nonsmooth nonlinear dynamical systems. The trajectory tracking problem, which is studied under a passivity-based controller addresses three main cases: the nominal case with known friction coefficient, uncertain friction coefficient, and when the Coulomb friction model is enhanced by including Stribeck effects. Monotonicity (or hypomonotonicity) of the friction model is crucial for the stability analysis of the tracking error. It can be relaxed to hypomonotonicity to handle Stribeck model. The framework of linear complementarity systems is used for the analysis. The case of a two-mass system is tackled as an extension of the standard one-mass oscillator. Theoretical results are supported by numerical simulations.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101672"},"PeriodicalIF":3.7,"publicationDate":"2025-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749774","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-07DOI: 10.1016/j.nahs.2025.101671
Wenjie Cao , Fuke Wu
This paper focuses on the averaging principle for a class of singularly perturbed stochastic systems, in which the slow process is a diffusion process, and fast process is a purely jumping process in an infinitely countable state space and its transition probability depends on the slow component. By using the solution of the Poisson equation as a corrector and the martingale method, the diffusion approximation of this singularly perturbed stochastic system is established.
{"title":"Weak convergence and diffusion approximation of singularly perturbed stochastic differential equation with state-dependent switching","authors":"Wenjie Cao , Fuke Wu","doi":"10.1016/j.nahs.2025.101671","DOIUrl":"10.1016/j.nahs.2025.101671","url":null,"abstract":"<div><div>This paper focuses on the averaging principle for a class of singularly perturbed stochastic systems, in which the slow process is a diffusion process, and fast process is a purely jumping process in an infinitely countable state space and its transition probability depends on the slow component. By using the solution of the Poisson equation as a corrector and the martingale method, the diffusion approximation of this singularly perturbed stochastic system is established.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101671"},"PeriodicalIF":3.7,"publicationDate":"2025-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-01DOI: 10.1016/j.nahs.2025.101661
Atiyeh Karimi Pour , Stephan Trenn , Moosa Ayati , Mohammad Reza Zakerzadeh
We study output tracking for nonlinear impulsive switched systems with global relative degree one under prescribed performance requirements. Classical funnel control is not directly applicable in this setting, since output jumps can cause violations of funnel constraints. To address this, we design an adjusted funnel boundary that contracts prior to jumps and expands afterward, computed offline based on the stability of the internal dynamics and bounded jump maps. We also derive sufficient conditions ensuring bounded control input. To obtain tighter bounds, practical ISS is employed in place of BIBO stability, yielding smaller input requirements. Additional refinements include asymmetric jump bounds, level-set adjustments, and real-time funnel adaptation, which further improve performance. Numerical examples confirm stability and practical tracking under disturbance impulses and switching.
{"title":"Funnel-based output tracking control for nonlinear impulsive switched systems","authors":"Atiyeh Karimi Pour , Stephan Trenn , Moosa Ayati , Mohammad Reza Zakerzadeh","doi":"10.1016/j.nahs.2025.101661","DOIUrl":"10.1016/j.nahs.2025.101661","url":null,"abstract":"<div><div>We study output tracking for nonlinear impulsive switched systems with global relative degree one under prescribed performance requirements. Classical funnel control is not directly applicable in this setting, since output jumps can cause violations of funnel constraints. To address this, we design an adjusted funnel boundary that contracts prior to jumps and expands afterward, computed offline based on the stability of the internal dynamics and bounded jump maps. We also derive sufficient conditions ensuring bounded control input. To obtain tighter bounds, practical ISS is employed in place of BIBO stability, yielding smaller input requirements. Additional refinements include asymmetric jump bounds, level-set adjustments, and real-time funnel adaptation, which further improve performance. Numerical examples confirm stability and practical tracking under disturbance impulses and switching.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101661"},"PeriodicalIF":3.7,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-26DOI: 10.1016/j.nahs.2025.101656
Federico M. Zegers , Sean Phillips
Distributed consensus protocols provide a mechanism for spreading information within clustered networks, allowing agents and clusters to make decisions without requiring direct access to the state of the ensemble. In this work, we propose a strategy for achieving system-wide consensus in the states of identical linear time-invariant systems coupled by an undirected graph whose directed sub-graphs are available only at sporadic times. Within this work, the agents of the network are organized into pairwise disjoint clusters, which induce sub-graphs of the undirected parent graph. Some cluster sub-graph pairs are linked by an inter-cluster sub-graph, where the union of all cluster and inter-cluster sub-graphs yields the undirected parent graph. Each agent utilizes a distributed consensus protocol with components that are updated intermittently and asynchronously with respect to other agents and inter-clusters. The closed-loop ensemble dynamics is modeled as a hybrid system, and a Lyapunov-based stability analysis yields sufficient conditions for rendering the agreement subspace (consensus set) globally exponentially stable. Furthermore, an input-to-state stability argument demonstrates the consensus set is robust to a large class of perturbations. A numerical simulation considering both nominal and perturbed scenarios is provided for validation purposes.
{"title":"Consensus over clustered networks using intermittent and asynchronous output feedback","authors":"Federico M. Zegers , Sean Phillips","doi":"10.1016/j.nahs.2025.101656","DOIUrl":"10.1016/j.nahs.2025.101656","url":null,"abstract":"<div><div>Distributed consensus protocols provide a mechanism for spreading information within clustered networks, allowing agents and clusters to make decisions without requiring direct access to the state of the ensemble. In this work, we propose a strategy for achieving system-wide consensus in the states of identical linear time-invariant systems coupled by an undirected graph whose directed sub-graphs are available only at sporadic times. Within this work, the agents of the network are organized into pairwise disjoint clusters, which induce sub-graphs of the undirected parent graph. Some cluster sub-graph pairs are linked by an inter-cluster sub-graph, where the union of all cluster and inter-cluster sub-graphs yields the undirected parent graph. Each agent utilizes a distributed consensus protocol with components that are updated intermittently and asynchronously with respect to other agents and inter-clusters. The closed-loop ensemble dynamics is modeled as a hybrid system, and a Lyapunov-based stability analysis yields sufficient conditions for rendering the agreement subspace (consensus set) globally exponentially stable. Furthermore, an input-to-state stability argument demonstrates the consensus set is robust to a large class of perturbations. A numerical simulation considering both nominal and perturbed scenarios is provided for validation purposes.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"59 ","pages":"Article 101656"},"PeriodicalIF":3.7,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145618014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-14DOI: 10.1016/j.nahs.2025.101658
Mengqian Liang, Dan Ma, Jiaming Lu
This paper investigates the asynchronous data-driven control synthesis problem for continuous- and discrete-time switched linear systems, where exogenous disturbances and asynchronous behavior introduce significant challenges to control design. First, inspired by online data-driven techniques, a novel data representation of the systems is proposed under controller–subsystem asynchrony. Second, the data-dependent Lyapunov function combined with the merging average dwell time switching signal is constructed to establish sufficient conditions on robust practical exponential stabilization of the asynchronous switched control systems with disturbances. Furthermore, exponential stabilization is rigorously guaranteed in the disturbance-free case. Compared with the existing data-driven results, this paper eliminates the reliance on persistent excitation constraints, thereby substantially mitigating the conservatism in the robust stabilization criteria. Lastly, two numerical simulations are employed to verify the effectiveness of the proposed method.
{"title":"Data-driven asynchronous robust stabilization of switched linear systems with disturbances","authors":"Mengqian Liang, Dan Ma, Jiaming Lu","doi":"10.1016/j.nahs.2025.101658","DOIUrl":"10.1016/j.nahs.2025.101658","url":null,"abstract":"<div><div>This paper investigates the asynchronous data-driven control synthesis problem for continuous- and discrete-time switched linear systems, where exogenous disturbances and asynchronous behavior introduce significant challenges to control design. First, inspired by online data-driven techniques, a novel data representation of the systems is proposed under controller–subsystem asynchrony. Second, the data-dependent Lyapunov function combined with the merging average dwell time switching signal is constructed to establish sufficient conditions on robust practical exponential stabilization of the asynchronous switched control systems with disturbances. Furthermore, exponential stabilization is rigorously guaranteed in the disturbance-free case. Compared with the existing data-driven results, this paper eliminates the reliance on persistent excitation constraints, thereby substantially mitigating the conservatism in the robust stabilization criteria. Lastly, two numerical simulations are employed to verify the effectiveness of the proposed method.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"59 ","pages":"Article 101658"},"PeriodicalIF":3.7,"publicationDate":"2025-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145519770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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