Stability and stabilization of a class of nonlinear impulsive hybrid systems based on FSM with MDADT

DOI10.1016/j.nahs.2014.05.005zbMath1301.93138OpenAlexW2030240708MaRDI QIDQ472888

Lihong Yao, Junmin Li

Publication date: 20 November 2014

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2014.05.005

zbMATH Keywords

hybrid systemsglobal exponential stabilitymultiple Lyapunov functions (MLFs)finite state machine (FSM)mode-dependent average dwell time (MDADT)

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (2)

\(H_\infty\) synchronization for complex dynamical networks with coupling delays using distributed impulsive control ⋮ ON THE UNIQUE SOLVABILITY OF NONLOCAL PROBLEMS WITH INTEGRAL CONDITIONS FOR A HYBRID SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS

Cites Work

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• Observer design for some classes of uniformly observable nonlinear hybrid systems
• Stability of switched positive linear systems with average dwell time switching
• Stabilization and \(L_2\)-gain analysis for a class of cascade switched nonlinear systems: an average dwell-time method
• Stabilization of finite automata with application to hybrid systems control
• Asynchronously switched control of switched linear systems with average dwell time
• On finite-time stability for nonlinear impulsive switched systems
• On stability, \(L_2\)-gain and \(H_\infty\) control for switched systems
• Stability, \(L_1\)-gain and control synthesis for positive switched systems with time-varying delay
• Stability and stabilization of positive switched systems with mode-dependent average dwell time
• Multiple Lyapunov functions approach to observer-basedH_∞control for switched systems
• Finite-time stability of nonlinear switched impulsive systems
• Observability of discrete event dynamic systems
• A Control Lyapunov Approach to Predictive Control of Hybrid Systems
• ExponentialH_∞filtering for switched linear systems with interval time-varying delay
• Stability and stabilizability of discrete event dynamic systems
• Stability theory for hybrid dynamical systems
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Basic problems in stability and design of switched systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• Stabilizing a linear system by switching control with dwell time
• Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time
• Affine Characterizations of Minimal and Mode-Dependent Dwell-Times for Uncertain Linear Switched Systems

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