Invariance principles for hybrid systems with memory

DOI10.1016/j.nahs.2015.08.003zbMath1344.34082OpenAlexW1925209146MaRDI QIDQ286069

Jun Liu, Andrew R. Teel

Publication date: 19 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.nahs.2015.08.003

zbMATH Keywords

stabilityinvariance principleshybrid functional inclusionshybrid systems with memory

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Hybrid systems of functional-differential equations (34K34)

Related Items (8)

Stability analysis of linear impulsive delay dynamical systems via looped-functionals ⋮ Stabilizing transmission intervals and delays in nonlinear networked control systems through hybrid-system-with-memory modeling and Lyapunov-Krasovskii arguments ⋮ Stability and \(L_2\)-gain analysis for impulsive delay systems: an impulse-time-dependent discretized Lyapunov functional method ⋮ Hybrid Systems with Memory: Existence and Well-posedness of Generalized Solutions ⋮ Nested Matrosov function theorem for nonlinear delayed systems ⋮ Stabilization of hybrid systems under state constraints ⋮ Stability and Robustness Analysis for Switched Systems with Time-Varying Delays ⋮ INPUT-TO-STATE STABILITY OF IMPULSIVE SYSTEMS WITH HYBRID DELAYED IMPULSE EFFECTS

Cites Work

• Unnamed Item
• Unnamed Item
• Global stabilization of switched control systems with time delay
• Input-to-state stability of impulsive and switching hybrid systems with time-delay
• Liapunov-Razumikhin functions and an invariance principle for functional differential equations
• An extension of LaSalle's invariance principle for a class of switched linear systems
• Invariance principles for switching systems via hybrid systems techniques
• An invariance principle for nonlinear hybrid and impulsive dynamical systems.
• Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays
• An invariance principle for nonlinear switched systems
• An extension of LaSalle's invariance principle for switched systems
• Sufficient conditions for stability and instability of autonomous functional-differential equations
• Generalized invariance principles for switched delay systems
• THE EXTENT OF ASYMPTOTIC STABILITY
• Stability Analysis of Switched Time Delay Systems
• Variational Analysis
• Uniform asymptotic stability of hybrid dynamical systems with delay
• Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle
• Stability Theory of Hybrid Dynamical Systems With Time Delay
• Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability
• Uniform asymptotic stability of impulsive delay differential equations

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