Input-output finite-time stabilization of a class of nonlinear hybrid systems based on FSM with MDADT

DOI10.1016/j.jfranklin.2016.07.013zbMath1367.93606OpenAlexW2505734780MaRDI QIDQ2012099

Junmin Li, Lihong Yao

Publication date: 28 July 2017

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2016.07.013

zbMATH Keywords

input-output finite-time stabilizationmultiple Lyapunov functions (MLFs)finite state machine (FSM)mode-dependent average dwell time (MDADT) techniquenonlinear impulsive hybrid systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Cellular automata (computational aspects) (68Q80)

Related Items (2)

Finite-time sliding mode control of switched systems with one-sided Lipschitz nonlinearity ⋮ Finite-time annular domain stability of Itô stochastic impulsive systems with markovian jumping under asynchronous switching

Cites Work

• Unnamed Item
• Unnamed Item
• Observer design for some classes of uniformly observable nonlinear hybrid systems
• Stability of switched positive linear systems with average dwell time switching
• \(H_\infty\) finite-time control for switched nonlinear discrete-time systems with norm-bounded disturbance
• Stabilization and \(L_2\)-gain analysis for a class of cascade switched nonlinear systems: an average dwell-time method
• Input-output finite time stabilization of linear systems
• Stabilization of finite automata with application to hybrid systems control
• Finite-time \(L_1\) control for positive switched linear systems with time-varying delay
• Asynchronously switched control of switched linear systems with average dwell time
• Parameter-dependent finite-time observer design for time-varying polytopic uncertain switched systems
• On input-to-state stability of impulsive stochastic systems
• On finite-time stability for nonlinear impulsive switched systems
• Finite-time boundedness and finite-time \(l_2\) gain analysis of discrete-time switched linear systems with average dwell time
• 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
• Finite-time stability of switched positive linear systems
• Input–output finite-time stabilisation of a class of hybrid systems via static output feedback
• Hybrid Control for Switched Linear Systems With Average Dwell Time
• Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design
• Observability of discrete event dynamic systems
• A Control Lyapunov Approach to Predictive Control of Hybrid Systems
• 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
• Input-output finite-time stability of time-varying linear singular systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time
• Input–Output Finite-Time Stability of Linear Systems: Necessary and Sufficient Conditions
• Affine Characterizations of Minimal and Mode-Dependent Dwell-Times for Uncertain Linear Switched Systems
• Finite-time \(H_\infty\) control of switched systems with mode-dependent average dwell time

This page was built for publication: Input-output finite-time stabilization of a class of nonlinear hybrid systems based on FSM with MDADT