Integral ISS for Switched Nonlinear Time-Varying Systems Using Indefinite Multiple Lyapunov Functions

DOI10.1109/TAC.2018.2833159zbMath1423.93345OpenAlexW2800188922WikidataQ129884061 ScholiaQ129884061MaRDI QIDQ4615325

Lijun Long

Publication date: 28 January 2019

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2018.2833159

Mathematics Subject Classification ID

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 (13)

Safety-critical dynamic event-triggered control of nonlinear systems ⋮ Fixed-time stabilization of IT-2 T-S fuzzy control systems with discontinuous interconnections: indefinite derivative Lyapunov method ⋮ Sufficient conditions on finite-time input-to-state stability of nonlinear impulsive systems: a relaxed Lyapunov function method ⋮ Unified stability criteria for perturbed LTV systems with unstable instantaneous dynamics ⋮ Switched adaptive observers design for a class of switched uncertain nonlinear systems ⋮ Higher‐order derivatives of generalized Lyapunov‐like functions for switched nonlinear systems ⋮ Finite‐time integral input‐to‐state stability for switched nonlinear time‐delay systems with asynchronous switching ⋮ QSR‐dissipativity of feedback interconnection of switched nonlinear systems under communication constraints ⋮ Indefinite multiple Lyapunov functions ofpth moment input‐to‐state stability andpth moment integral input‐to‐state stability for the nonlinear time‐varying stochastic systems with Markovian switching ⋮ Codesign method for event‐triggered control of a class of switched nonlinear systems ⋮ Prescribed performance event‐triggered control for strict‐feedback switched nonlinear systems ⋮ Improved multiple Lyapunov functions of input-output-to-state stability for nonlinear switched systems ⋮ Dynamic event-triggered control for QSR-dissipativity of feedback interconnection of switched nonlinear systems

This page was built for publication: Integral ISS for Switched Nonlinear Time-Varying Systems Using Indefinite Multiple Lyapunov Functions