Nonlinear Analysis-Hybrid Systems最新文献

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Asymptotic behavior of solutions to stochastic differential equations driven by tempered fractional Brownian motion with Markovian switching 带马尔可夫切换的回火分数阶布朗运动随机微分方程解的渐近行为

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2025-12-10 DOI: 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

M

-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.

本文研究了一类由回火分数阶布朗运动驱动的马尔可夫变换随机微分方程。首先，我们建立了一些广义Itô公式，并获得了保证解在几种不同意义上稳定的充分条件。随后，利用广义Itô公式和停止时间技术，得到了保证所考虑方程不合流性的几个充分条件。另外，我们分别用泊松方程和m -矩阵给出了非合流性的两个重要推论，这两个推论比一般条件更有效地验证了非合流性。最后，我们提供了一个例子来说明我们的理论结果的实际用途。

引用次数: 0

Passivity-based trajectory tracking control in frictional oscillators with set-valued friction 集值摩擦振荡器的无源轨迹跟踪控制

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2025-12-08 DOI: 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.

摩擦振子是非光滑非线性动力系统，本文主要研究摩擦振子的轨迹跟踪控制。在无源控制器下研究的轨迹跟踪问题主要涉及三种情况：已知摩擦系数的名义情况、不确定摩擦系数的情况，以及加入Stribeck效应增强库仑摩擦模型的情况。摩擦模型的单调性（或次单调性）对跟踪误差的稳定性分析至关重要。对Stribeck模型的处理可以简化为次单调性。采用线性互补系统的框架进行分析。双质量系统的情况是作为标准单质量振荡器的扩展来处理的。理论结果得到了数值模拟的支持。

引用次数: 0

Weak convergence and diffusion approximation of singularly perturbed stochastic differential equation with state-dependent switching 状态相关切换奇摄动随机微分方程的弱收敛和扩散逼近

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2025-12-07 DOI: 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.

本文研究了一类奇摄动随机系统的平均原理，其中慢过程是扩散过程，快过程是无限可数状态空间中的纯跳跃过程，其转移概率取决于慢分量。利用泊松方程的解作校正，利用鞅方法，建立了奇异摄动随机系统的扩散近似。

引用次数: 0

Funnel-based output tracking control for nonlinear impulsive switched systems 非线性脉冲切换系统的漏斗输出跟踪控制

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2025-12-01 DOI: 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.

在规定的性能要求下，研究全局相对度为1的非线性脉冲切换系统的输出跟踪问题。经典的漏斗控制不能直接适用于这种情况，因为输出跳跃可能导致违反漏斗约束。为了解决这个问题，我们设计了一个可调整的漏斗边界，该边界在跳跃之前收缩，之后扩展，基于内部动力学和有界跳跃图的稳定性离线计算。并给出了保证有界控制输入的充分条件。为了获得更严格的边界，采用实际的ISS代替BIBO稳定性，产生更小的输入要求。其他改进包括不对称跳跃边界、水平集调整和实时漏斗适应，这些改进进一步提高了性能。数值算例验证了该方法在干扰脉冲和切换下的稳定性和实际跟踪效果。

引用次数: 0

Consensus over clustered networks using intermittent and asynchronous output feedback 使用间歇和异步输出反馈的集群网络共识

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2025-11-26 DOI: 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.

分布式共识协议提供了一种在集群网络中传播信息的机制，允许代理和集群在不需要直接访问集成状态的情况下做出决策。在这项工作中，我们提出了一种策略，用于在由无向图耦合的相同线性定常系统的状态下实现系统范围的一致性，该无向图的有向子图仅在零星时间可用。在这项工作中，网络的代理被组织成成对不相交的聚类，这些聚类诱导出无向父图的子图。一些簇子图对由簇间子图连接，其中所有簇和簇间子图的并集产生无向父图。每个代理都使用分布式共识协议，其中的组件相对于其他代理和集群间间歇性和异步更新。将闭环系综动力学建模为一个混合系统，并通过基于lyapunov的稳定性分析，给出了一致性子空间（共识集）全局指数稳定的充分条件。此外，输入到状态的稳定性论证证明了共识集对一类大的扰动具有鲁棒性。为了验证目的，提供了考虑名义和扰动情景的数值模拟。

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引用次数: 0

Data-driven asynchronous robust stabilization of switched linear systems with disturbances 具有扰动的切换线性系统的数据驱动异步鲁棒镇定

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2025-11-14 DOI: 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.

本文研究了连续时间和离散时间切换线性系统的异步数据驱动控制综合问题，其中外源干扰和异步行为给控制设计带来了重大挑战。首先，受在线数据驱动技术的启发，提出了一种新的控制器-子系统异步下的系统数据表示方法。其次，构造与数据相关的Lyapunov函数与合并平均停留时间切换信号相结合，建立了具有扰动的异步切换控制系统鲁棒实际指数镇定的充分条件。此外，在无扰动情况下，指数稳定性得到了严格保证。与现有的数据驱动结果相比，本文消除了对持久激励约束的依赖，从而大大减轻了鲁棒镇定准则的保守性。最后，通过两个数值仿真验证了所提方法的有效性。

引用次数: 0

Optimal preview control of probabilistic Boolean networks 概率布尔网络的最优预览控制

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2025-11-12 DOI: 10.1016/j.nahs.2025.101659

Linye Wu , Qiyao Wang , Jitao Sun

This paper explores optimal preview control for probabilistic Boolean networks (PBNs). Over the past decade, scholars have introduced PBNs as a pioneering mathematical framework. A significant challenge involves deriving optimal strategies for PBNs to prevent unfavorable states. Our proposed methodology integrates the strengths of the semi-tensor product (STP, i.e., Cheng product) of matrices and the Exclusive-Or operator. This integration results in an extended system capable of guiding PBNs with minimal cost. Furthermore, the configurability of the cost function allows for the inclusion of various control inputs and state variables. Discrete-time Markov decision processes (DTMDPs) are employed to determine the most suitable control policies. Finally, a numerical example is presented to validate the effectiveness of the proposed preview control protocol for PBNs.

本文研究了概率布尔网络（PBNs）的最优预览控制。在过去的十年中，学者们将pbn作为一个开创性的数学框架引入。一个重要的挑战是为pbn提供防止不利状态的最佳策略。我们提出的方法整合了矩阵的半张量积（STP，即Cheng积）和异或算子的优势。这种集成形成了一个能够以最小成本引导pbn的扩展系统。此外，成本函数的可配置性允许包含各种控制输入和状态变量。采用离散马尔可夫决策过程（dtmdp）来确定最合适的控制策略。最后给出了一个数值算例，验证了所提出的pbn预览控制协议的有效性。

引用次数: 0

An event-triggered robust sampled tracking controller for communication-state-input constrained perturbed unicycle mobile robots 通信状态-输入约束摄动独轮车移动机器人的事件触发鲁棒采样跟踪控制器

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2025-11-07 DOI: 10.1016/j.nahs.2025.101657

Ariana Gutiérrez , Héctor Ríos , Manuel Mera , Denis Efimov , Rosane Ushirobira

This paper presents a robust sampled controller design for trajectory tracking in unicycle mobile robots subject to state, input, and communication constraints, as well as external disturbances such as wheel slipping. The proposed approach integrates two control strategies: an aperiodic control law based on an event-triggered mechanism and a periodic control law using a constant sampled state-feedback controller. The event-triggered control employs the attractive ellipsoid method and the barrier Lyapunov function to ensure performance within a defined safe set, where state constraints are preserved, and a switching set determines the active control strategy. The periodic sampled control considers the maximum sampling time required to achieve trajectory tracking while minimizing bandwidth usage. This strategy guarantees input-to-state stability of the tracking error dynamics against multiplicative external disturbances. Additionally, a straightforward method using linear matrix inequalities is provided to compute the controller gains. Experimental results validate the effectiveness of the proposed robust control approach.

本文提出了一种鲁棒采样控制器设计，用于单轮移动机器人在状态、输入和通信约束以及车轮打滑等外部干扰下的轨迹跟踪。该方法集成了两种控制策略：基于事件触发机制的非周期控制律和使用恒定采样状态反馈控制器的周期控制律。事件触发控制采用吸引椭球方法和屏障Lyapunov函数来确保在定义的安全集合内的性能，其中状态约束被保留，并且切换集确定主动控制策略。周期采样控制考虑实现轨迹跟踪所需的最大采样时间，同时最小化带宽使用。该策略保证了跟踪误差动态对倍增性外部干扰的输入到状态稳定性。此外，还提供了一种使用线性矩阵不等式计算控制器增益的简单方法。实验结果验证了所提鲁棒控制方法的有效性。

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引用次数: 0

Local stability for a class of piecewise affine Filippov systems 一类分段仿射Filippov系统的局部稳定性

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2025-11-06 DOI: 10.1016/j.nahs.2025.101654

Xinyong Wang , Laurentiu Hetel , Ying Tang , Jimmy Lauber

In this paper the local asymptotic stability problem is investigated for a class of piecewise affine (PWA) Filippov systems. We address a particular case of PWA systems with linear switching surfaces crossing at an equilibrium resulting from sliding dynamics (Filippov/pseudo equilibrium). The PWA systems may also present other unstable equilibria. Sufficient Lyapunov-based conditions are given for characterising the local asymptotic stability of the Filippov equilibrium. Methods are proposed to estimate the domain of attraction.

研究了一类分段仿射菲利波夫系统的局部渐近稳定性问题。我们解决了PWA系统的一个特殊情况，线性开关表面在滑动动力学（Filippov/伪平衡）的平衡下交叉。PWA系统也可能出现其他不稳定平衡。给出了表征Filippov平衡点局部渐近稳定性的充分的lyapunov基条件。提出了估计引力域的方法。

引用次数: 0

Explicit criteria for recurrence of Markovian regime-switching diffusion processes under arbitrary switching rates 任意切换速率下马尔可夫状态切换扩散过程递归的显式判据

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2025-10-24 DOI: 10.1016/j.nahs.2025.101655

Jianrui Li, Jinghai Shao

The recurrent property of diffusion processes with regime-switching is quite complicated, which could be transient even when it is recurrent at every fixed environment. This work provides explicit criteria in terms of the coefficients of diffusion processes such that the studied processes are recurrent or transient under arbitrary switching rates. The obtained criteria are in the integral form, which are particularly effective for the regime-switching processes with coefficients vibrating periodically. Examples are constructed to illustrate the applications of these criteria.

具有状态切换的扩散过程的循环特性非常复杂，即使在每个固定环境下都是循环的，也可能是暂态的。这项工作为扩散过程的系数提供了明确的标准，使得所研究的过程在任意开关速率下是循环的或瞬态的。所得到的判据是积分形式的，对系数周期性振动的状态切换过程特别有效。本文构造了一些例子来说明这些标准的应用。

引用次数: 0

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