Morse Decompositions for General Dynamical Systems and Differential Inclusions with Applications to Control Systems

DOI10.1137/060662101zbMath1131.37022OpenAlexW2036723840MaRDI QIDQ5444224

De-Sheng Li

Publication date: 25 February 2008

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

Full work available at URL: https://doi.org/10.1137/060662101

zbMATH Keywords

stabilityinvariant setnonlinear systemsperturbationsattractorlimit setsattractor-repeller pairset-valued dynamical systemsMorse setsopen-loop systems

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Nonlinear systems in control theory (93C10) Ordinary differential inclusions (34A60) Control/observation systems governed by ordinary differential equations (93C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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