René Hosfeld, Birgit Jacob, Felix L. Schwenninger, Marius Tucsnak
SIAM Journal on Control and Optimization, Volume 62, Issue 3, Page 1369-1389, June 2024. Abstract. Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obtained results to controlled versions of a viscous Burger equation with Dirichlet boundary conditions, a Schrödinger equation, a Navier–Stokes system, and a semilinear wave equation.
{"title":"Input-to-State Stability for Bilinear Feedback Systems","authors":"René Hosfeld, Birgit Jacob, Felix L. Schwenninger, Marius Tucsnak","doi":"10.1137/23m155788x","DOIUrl":"https://doi.org/10.1137/23m155788x","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 3, Page 1369-1389, June 2024. <br/> Abstract. Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obtained results to controlled versions of a viscous Burger equation with Dirichlet boundary conditions, a Schrödinger equation, a Navier–Stokes system, and a semilinear wave equation.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140936161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nabile Boussaïd, Marco Caponigro, Thomas Chambrion
SIAM Journal on Control and Optimization, Ahead of Print. Abstract. We analyze attainable sets of single-input bilinear conservative systems with piecewise constant controls. Under the assumption that the ambient space admits a Hilbert basis made of eigenvectors of the drift operator, we show that the closure of the attainable set does not depend on the set of admissible controls, provided the controls can take at least two or three values.
{"title":"Switching Controls for Conservative Bilinear Quantum Systems with Discrete Spectrum","authors":"Nabile Boussaïd, Marco Caponigro, Thomas Chambrion","doi":"10.1137/23m1588494","DOIUrl":"https://doi.org/10.1137/23m1588494","url":null,"abstract":"SIAM Journal on Control and Optimization, Ahead of Print. <br/>Abstract. We analyze attainable sets of single-input bilinear conservative systems with piecewise constant controls. Under the assumption that the ambient space admits a Hilbert basis made of eigenvectors of the drift operator, we show that the closure of the attainable set does not depend on the set of admissible controls, provided the controls can take at least two or three values.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140882806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Simon Buchwald, Gabriele Ciaramella, Julien Salomon
SIAM Journal on Control and Optimization, Volume 62, Issue 3, Page 1343-1368, June 2024. Abstract. This paper is devoted to the development and convergence analysis of greedy reconstruction algorithms based on the strategy presented in [Y. Maday and J. Salomon, Joint Proceedings of the 48th IEEE Conference on Decision and Control and the 28th Chinese Control Conference, 2009, pp. 375–379]. These procedures allow the design of a sequence of control functions that ease the identification of unknown operators in nonlinear dynamical systems. The original strategy of greedy reconstruction algorithms is based on an offline/online decomposition of the reconstruction process and an ansatz for the unknown operator obtained by an a priori chosen set of linearly independent matrices. In the previous work [S. Buchwald, G. Ciaramella, and J. Salomon, SIAM J. Control Optim., 59 (2021), pp. 4511–4537], convergence results were obtained in the case of linear identification problems. We tackle here the more general case of nonlinear systems. More precisely, we introduce a new greedy algorithm based on the linearized system. We show that the controls obtained with this new algorithm lead to the local convergence of the classical Gauss–Newton method applied to the online nonlinear identification problem. We then extend this result to the controls obtained on nonlinear systems where a local convergence result is also proved. The main convergence results are obtained for dynamical systems with linear and bilinear control structures.
SIAM 控制与优化期刊》第 62 卷第 3 期第 1343-1368 页，2024 年 6 月。 摘要本文致力于基于[Y. Maday and J. Salomon, Joint Proceedings of 48th IASCAB, 2008]中提出的策略开发贪婪重构算法并分析其收敛性。Maday and J. Salomon, Joint Proceedings of the 48th IEEE Conference on Decision and Control and the 28th Chinese Control Conference, 2009, pp.］这些程序允许设计一系列控制函数，从而简化非线性动力系统中未知算子的识别。贪婪重构算法的原始策略基于重构过程的离线/在线分解，以及通过先验选择的线性独立矩阵集获得的未知算子的解析。在之前的工作中 [S. Buchwald, G. C.Buchwald, G. Ciaramella, and J. Salomon, SIAM J. Control Optim., 59 (2021), pp.在此，我们将处理非线性系统的更一般情况。更确切地说，我们引入了一种基于线性化系统的新贪婪算法。我们证明，用这种新算法获得的控制结果，会导致应用于在线非线性识别问题的经典高斯-牛顿方法的局部收敛。然后，我们将这一结果扩展到对非线性系统的控制，也证明了局部收敛结果。主要收敛结果是针对具有线性和双线性控制结构的动力系统得出的。
{"title":"Gauss–Newton Oriented Greedy Algorithms for the Reconstruction of Operators in Nonlinear Dynamics","authors":"Simon Buchwald, Gabriele Ciaramella, Julien Salomon","doi":"10.1137/23m1552929","DOIUrl":"https://doi.org/10.1137/23m1552929","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 3, Page 1343-1368, June 2024. <br/> Abstract. This paper is devoted to the development and convergence analysis of greedy reconstruction algorithms based on the strategy presented in [Y. Maday and J. Salomon, Joint Proceedings of the 48th IEEE Conference on Decision and Control and the 28th Chinese Control Conference, 2009, pp. 375–379]. These procedures allow the design of a sequence of control functions that ease the identification of unknown operators in nonlinear dynamical systems. The original strategy of greedy reconstruction algorithms is based on an offline/online decomposition of the reconstruction process and an ansatz for the unknown operator obtained by an a priori chosen set of linearly independent matrices. In the previous work [S. Buchwald, G. Ciaramella, and J. Salomon, SIAM J. Control Optim., 59 (2021), pp. 4511–4537], convergence results were obtained in the case of linear identification problems. We tackle here the more general case of nonlinear systems. More precisely, we introduce a new greedy algorithm based on the linearized system. We show that the controls obtained with this new algorithm lead to the local convergence of the classical Gauss–Newton method applied to the online nonlinear identification problem. We then extend this result to the controls obtained on nonlinear systems where a local convergence result is also proved. The main convergence results are obtained for dynamical systems with linear and bilinear control structures.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140834708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
SIAM Journal on Control and Optimization, Volume 62, Issue 3, Page 1317-1342, June 2024. Abstract. In this paper, we consider the adaptive stabilization problem for a basic class of linear-quadratic noncooperative stochastic differential games when the systems matrices are unknown to the regulator and the players. This is a typical problem of game-based control systems (GBCS) introduced and studied recently, which have a hierarchical decision-making structure: there is a controller at the upper level acting as a global regulator which makes its decision first, and the players at the lower level are assumed to play a typical zero-sum differential games. The main purpose of the paper is to study how the adaptive regulator can be designed to make the GBCS globally stable and at the same time to ensure a Nash equilibrium reached by the players, where the adaptive strategies of the players are assumed to be constructed based on the standard least squares estimators. The design of the global regulator is an integration of the weighted least squares parameter estimator, random regularization and diminishing excitation methods. Under the assumption that the system matrix pair [math] is controllable and there exists a stabilizing solution for the corresponding algebraic Riccati equation, it is shown that the closed-loop adaptive GBCS will be globally stable, and at the same time reach a Nash equilibrium by the players.
{"title":"Adaptive Stabilization of Noncooperative Stochastic Differential Games","authors":"Nian Liu, Lei Guo","doi":"10.1137/22m1530549","DOIUrl":"https://doi.org/10.1137/22m1530549","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 3, Page 1317-1342, June 2024. <br/>Abstract. In this paper, we consider the adaptive stabilization problem for a basic class of linear-quadratic noncooperative stochastic differential games when the systems matrices are unknown to the regulator and the players. This is a typical problem of game-based control systems (GBCS) introduced and studied recently, which have a hierarchical decision-making structure: there is a controller at the upper level acting as a global regulator which makes its decision first, and the players at the lower level are assumed to play a typical zero-sum differential games. The main purpose of the paper is to study how the adaptive regulator can be designed to make the GBCS globally stable and at the same time to ensure a Nash equilibrium reached by the players, where the adaptive strategies of the players are assumed to be constructed based on the standard least squares estimators. The design of the global regulator is an integration of the weighted least squares parameter estimator, random regularization and diminishing excitation methods. Under the assumption that the system matrix pair [math] is controllable and there exists a stabilizing solution for the corresponding algebraic Riccati equation, it is shown that the closed-loop adaptive GBCS will be globally stable, and at the same time reach a Nash equilibrium by the players.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140834704","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Luis Almeida, Alexis Léculier, Grégoire Nadin, Yannick Privat
SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1291-1315, April 2024. Abstract. Some pests and vectors of many vector-borne diseases (like mosquitoes for malaria and dengue) are known to invade any homogeneous and favorable territory, following a traveling wave type dynamic. The density of individuals in the field is commonly modeled as the solution of a bistable reaction-diffusion equation on an unbounded domain. In this work, we are interested in finding an optimal strategy to block such a solution by means of a population elimination action in a prescribed subdomain (modeling, for instance, the effect of a mechanical action or an insecticide applied in a certain region to reduce the number of individuals in the population). We propose a complete description of the solutions of this problem, based on the precise analysis of the optimality conditions and on arguments for comparison between the possible strategies.
{"title":"Optimal Control of Bistable Traveling Waves: Looking for the Best Spatial Distribution of a Killing Action to Block a Pest Invasion","authors":"Luis Almeida, Alexis Léculier, Grégoire Nadin, Yannick Privat","doi":"10.1137/22m1528410","DOIUrl":"https://doi.org/10.1137/22m1528410","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1291-1315, April 2024. <br/> Abstract. Some pests and vectors of many vector-borne diseases (like mosquitoes for malaria and dengue) are known to invade any homogeneous and favorable territory, following a traveling wave type dynamic. The density of individuals in the field is commonly modeled as the solution of a bistable reaction-diffusion equation on an unbounded domain. In this work, we are interested in finding an optimal strategy to block such a solution by means of a population elimination action in a prescribed subdomain (modeling, for instance, the effect of a mechanical action or an insecticide applied in a certain region to reduce the number of individuals in the population). We propose a complete description of the solutions of this problem, based on the precise analysis of the optimality conditions and on arguments for comparison between the possible strategies.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140635249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1261-1290, April 2024. Abstract. We consider the game-theoretic approach to time-inconsistent stopping of a one-dimensional diffusion where the time-inconsistency is due to the presence of a nonexponential (weighted) discount function. In particular, we study (weak) equilibria for this problem in a novel class of mixed (i.e., randomized) stopping times based on a local time construction of the stopping intensity. For a general formulation of the problem we provide a verification theorem giving sufficient conditions for mixed (and pure) equilibria in terms of a set of variational inequalities, including a smooth fit condition. We apply the theory to prove the existence of (mixed) equilibria in a recently studied real options problem in which no pure equilibria exist.
{"title":"Local Time Pushed Mixed Equilibrium Strategies for Time-Inconsistent Stopping Problems","authors":"Andi Bodnariu, Sören Christensen, Kristoffer Lindensjö","doi":"10.1137/22m1506651","DOIUrl":"https://doi.org/10.1137/22m1506651","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1261-1290, April 2024. <br/> Abstract. We consider the game-theoretic approach to time-inconsistent stopping of a one-dimensional diffusion where the time-inconsistency is due to the presence of a nonexponential (weighted) discount function. In particular, we study (weak) equilibria for this problem in a novel class of mixed (i.e., randomized) stopping times based on a local time construction of the stopping intensity. For a general formulation of the problem we provide a verification theorem giving sufficient conditions for mixed (and pure) equilibria in terms of a set of variational inequalities, including a smooth fit condition. We apply the theory to prove the existence of (mixed) equilibria in a recently studied real options problem in which no pure equilibria exist.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1235-1260, April 2024. Abstract. In this paper, we define the phase response for a class of multi-input multi-output (MIMO) linear time-invariant (LTI) systems whose frequency responses are (semi-)sectorial at all frequencies. The newly defined phase subsumes the well-known notion of positive real systems and is closely related to the notion of negative imaginary systems. We formulate a small phase theorem for feedback stability, which complements the small gain theorem. The small phase theorem lays the foundation of a phase theory of MIMO systems. We also discuss time-domain interpretations of phase-bounded systems via both energy signal analysis and power signal analysis.
{"title":"A Phase Theory of Multi-Input Multi-Output Linear Time-Invariant Systems","authors":"Wei Chen, Dan Wang, Sei Zhen Khong, Li Qiu","doi":"10.1137/22m148968x","DOIUrl":"https://doi.org/10.1137/22m148968x","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1235-1260, April 2024. <br/> Abstract. In this paper, we define the phase response for a class of multi-input multi-output (MIMO) linear time-invariant (LTI) systems whose frequency responses are (semi-)sectorial at all frequencies. The newly defined phase subsumes the well-known notion of positive real systems and is closely related to the notion of negative imaginary systems. We formulate a small phase theorem for feedback stability, which complements the small gain theorem. The small phase theorem lays the foundation of a phase theory of MIMO systems. We also discuss time-domain interpretations of phase-bounded systems via both energy signal analysis and power signal analysis.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1183-1206, April 2024. Abstract. We study discrete-time finite-horizon optimal control problems in probability spaces, whereby the state of the system is a probability measure. We show that, in many instances, the solution of dynamic programming in probability spaces results from two ingredients: (i) the solution of dynamic programming in the “ground space” (i.e., the space on which the probability measures live) and (ii) the solution of an optimal transport problem. From a multi-agent control perspective, a separation principle holds: “low-level control of the agents of the fleet” (how does one reach the destination?) and “fleet-level control” (who goes where?) are decoupled.
{"title":"Dynamic Programming in Probability Spaces via Optimal Transport","authors":"Antonio Terpin, Nicolas Lanzetti, Florian Dörfler","doi":"10.1137/23m1560902","DOIUrl":"https://doi.org/10.1137/23m1560902","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1183-1206, April 2024. <br/> Abstract. We study discrete-time finite-horizon optimal control problems in probability spaces, whereby the state of the system is a probability measure. We show that, in many instances, the solution of dynamic programming in probability spaces results from two ingredients: (i) the solution of dynamic programming in the “ground space” (i.e., the space on which the probability measures live) and (ii) the solution of an optimal transport problem. From a multi-agent control perspective, a separation principle holds: “low-level control of the agents of the fleet” (how does one reach the destination?) and “fleet-level control” (who goes where?) are decoupled.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1207-1234, April 2024. Abstract. This paper investigates a reversible investment problem with finite horizon, in which a social planner aims to determine the project’s capacity level to minimize the expected total costs. These costs depend on the demand for the good, the supply in terms of production capacity, and the proportional costs. The issue of irreversible investment has been examined by Han and Yi [Commun. Nonlinear Sci. Numer. Simul., 109 (2022), 106302]. Mathematically, the reversible investment problem can be formulated as a singular stochastic control problem. The value function satisfies a two-dimensional parabolic variational inequality subject to gradient constraint, which leads to two time-dependent free boundaries representing optimal investment and disinvestment strategies. We employ a partial differential equation approach to characterize the continuity, monotonicity, and horizontal asymptotes of free boundaries, as well as establish the [math] regularity of the value function. To the best of our knowledge, the approach to analyze the behavior of free boundaries is novel in the literature.
{"title":"A Reversible Investment Problem with Capacity and Demand in Finite Horizon: Free Boundary Analysis","authors":"Xiaoru Han, Fahuai Yi, Jianbo Zhang","doi":"10.1137/22m1469547","DOIUrl":"https://doi.org/10.1137/22m1469547","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1207-1234, April 2024. <br/> Abstract. This paper investigates a reversible investment problem with finite horizon, in which a social planner aims to determine the project’s capacity level to minimize the expected total costs. These costs depend on the demand for the good, the supply in terms of production capacity, and the proportional costs. The issue of irreversible investment has been examined by Han and Yi [Commun. Nonlinear Sci. Numer. Simul., 109 (2022), 106302]. Mathematically, the reversible investment problem can be formulated as a singular stochastic control problem. The value function satisfies a two-dimensional parabolic variational inequality subject to gradient constraint, which leads to two time-dependent free boundaries representing optimal investment and disinvestment strategies. We employ a partial differential equation approach to characterize the continuity, monotonicity, and horizontal asymptotes of free boundaries, as well as establish the [math] regularity of the value function. To the best of our knowledge, the approach to analyze the behavior of free boundaries is novel in the literature.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1165-1182, April 2024. Abstract. This paper studies the exponential stabilization problem for a class of discrete-time linear switched systems arising from establishing the output-based distributed observer and the output-based adaptive distributed observer for discrete-time linear leader systems over jointly connected switching networks. The existing results on distributed observers and adaptive distributed observers are state-based in the sense that they need to make use of the full state of the leader system, which is quite restrictive since, in many applications, only the output of the leader system is available. As an application, the output-based distributed observer is used to solve a leader-following consensus problem for discrete-time linear multiagent systems by distributed output feedback control.
{"title":"Exponential Stability for a Class of Discrete-Time Switched Systems and Its Applications to Multiagent Systems","authors":"Tao Liu, Jie Huang","doi":"10.1137/23m1546762","DOIUrl":"https://doi.org/10.1137/23m1546762","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1165-1182, April 2024. <br/> Abstract. This paper studies the exponential stabilization problem for a class of discrete-time linear switched systems arising from establishing the output-based distributed observer and the output-based adaptive distributed observer for discrete-time linear leader systems over jointly connected switching networks. The existing results on distributed observers and adaptive distributed observers are state-based in the sense that they need to make use of the full state of the leader system, which is quite restrictive since, in many applications, only the output of the leader system is available. As an application, the output-based distributed observer is used to solve a leader-following consensus problem for discrete-time linear multiagent systems by distributed output feedback control.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140599038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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