Dissipative differential inclusions, set-valued energy storage and supply rate maps, and stability of discontinuous feedback systems

DOI10.1016/J.NAHS.2012.11.002zbMath1257.93054OpenAlexW2122342508MaRDI QIDQ1936170

Teymur Sadikhov, Wassim M. Haddad

Publication date: 21 February 2013

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2012.11.002

zbMATH Keywords

differential inclusionsdiscontinuous systemsnonsmooth Lyapunov functionsFilippov solutionsdissipativity theoryset-valued storage mapsset-valued supply rate mapsextended Kalman-Yakubovich-Popov equationsstability of feedback systems

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Lyapunov and storage functions (93D30) (H^infty)-control (93B36) Control/observation systems in abstract spaces (93C25)

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