Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem

DOI10.1007/s00498-007-0015-7zbMath1128.93045OpenAlexW3013490652MaRDI QIDQ2641909

Frederic Mazenc, Dragan Nešić

Publication date: 17 August 2007

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-007-0015-7

zbMATH Keywords

stability analysistime-varying systemsnonlinearityLyapunov functionsMatrosov theoremadaptive control.

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Adaptive control/observation systems (93C40) Asymptotic stability in control theory (93D20) Control/observation systems in abstract spaces (93C25)

Related Items (6)

A refinement of Matrosov's theorem for differential inclusions ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Strong Lyapunov functions for two classical problems in adaptive control ⋮ Global asymptotic stability for half-linear differential systems with generalized almost periodic coefficients ⋮ ISS-Lyapunov functions for time-varying hyperbolic systems of balance laws ⋮ Stabilization of nonlinear time-varying systems: a control Lyapunov function approach

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