High-Order S-Lemma with Application to Stability of a Class of Switched Nonlinear Systems

DOI10.1137/120861114zbMath1292.93110arXiv1403.1016OpenAlexW2075097422WikidataQ125054965 ScholiaQ125054965MaRDI QIDQ5494871

Fuchun Sun, Kuize Zhang, Li-jun Zhang

Publication date: 30 July 2014

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1016

zbMATH Keywords

convex combinationswitched nonlinear systemhomogeneous \(S\)-lemmaLyapunov function with homogeneous derivativenonhomogeneous S-lemmastrict homogeneous \(S\)-lemma

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear systems in control theory (93C10) Stability for nonlinear problems in mechanics (70K20) Asymptotic stability in control theory (93D20)

Related Items (3)

Finite automata approach to observability of switched Boolean control networks ⋮ An extension of Yuan's lemma to fourth-order tensor system ⋮ Periodic open-loop stabilization of planar switched systems

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