Stability and l2‐gain of discrete‐time switched systems with unstable modes

DOI10.1002/RNC.4778zbMath1440.93227OpenAlexW2983393406MaRDI QIDQ5219403

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Publication date: 11 March 2020

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.4778

zbMATH Keywords

stabilityswitched system\(l_2\)-gainmultiple discontinuous Lyapunov functionsslow/fast mode-dependent average dwell time

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (4)

Stability and ℒ₂-gain analysis based on multiple discontinuous Lyapunov function approaches for switched systems with unstable modes ⋮ State‐dependent switching stabilization of third‐order switched linear systems consisting of two subsystems with fully positive real part characteristic roots ⋮ Control design for switched port-controlled Hamiltonian systems with unstabilizable modes: an improved mode-dependent average dwell time scheme ⋮ New stability criteria of switched systems with unstable modes under a weighted ADT scheme

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