Inner approximations of domains of attraction for a class of switched systems by computing Lyapunov‐like functions

DOI10.1002/rnc.4010zbMath1390.93719OpenAlexW2771086666MaRDI QIDQ4644157

Xiuliang Zheng, Quanyi Liang, Meilun Li, Zhikun She

Publication date: 30 May 2018

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.4010

zbMATH Keywords

inner approximation switched systems sum of squares domains of attraction coordinatewise iteration

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Attractors of solutions to ordinary differential equations (34D45) Control/observation systems governed by ordinary differential equations (93C15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

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Uniform exponential stability criteria with verification for nonautonomous switched nonlinear systems with uncertainty ⋮ Inner-estimating domains of attraction for discrete-time non-polynomial systems with piecewise difference inclusions ⋮ Estimating the Region of Attraction on a Complex Dynamical Network ⋮ Global dynamics of a predator-prey system with density-dependent mortality and ratio-dependent functional response ⋮ Inner-approximating domains of attraction for discrete-time switched systems via multi-step multiple Lyapunov-like functions

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