Lyapunov small-gain theorems for networks of not necessarily ISS hybrid systems

DOI10.1016/j.automatica.2017.10.020zbMath1379.93085arXiv1610.01403OpenAlexW2964079133MaRDI QIDQ1693702

Guosong Yang, Andrii Mironchenko, Daniel Liberzon

Publication date: 31 January 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01403

zbMATH Keywords

hybrid systemsinput-to-state stabilitysmall-gain theoremsaverage dwell-time (ADT) clocksISS Lyapunov functions

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (14)

Stability conditions for impulsive dynamical systems ⋮ Input-to-state stability of impulsive systems and their networks ⋮ Decentralized uniform finite‐time stabilization of large‐scale nonlinear networks by small‐gain theorems ⋮ Stability of networked nonlinear systems: generalization of small-gain theorem and distributed testing ⋮ Lyapunov small-gain theorems for networks of not necessarily ISS hybrid systems ⋮ Stability analysis of a class of non-simultaneous interconnected impulsive systems ⋮ Strong ISS implies strong iISS for time-varying impulsive systems ⋮ Asymptotic properties of Zeno solutions ⋮ On robustness of impulsive stabilization ⋮ Input-to-state stability of impulsive stochastic infinite dimensional systems with Poisson jumps ⋮ Input-to-state stability analysis for homogeneous hybrid systems with bounded time-varying delays ⋮ On a Lyapunov Characterization of Input-To-State Stability for Impulsive Systems with Unstable Continuous Dynamics ⋮ Dwell-time stability conditions for infinite dimensional impulsive systems ⋮ Finite-time boundedness and finite-time weighted L₂-gain analysis for a class of neutral type switched systems with time-varying delays

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