Stability conditions for nonlinear control processes using Lyapunov functions with discontinuous derivatives

DOI10.1016/0022-247X(81)90173-6zbMath0484.93055OpenAlexW2065509720MaRDI QIDQ1164008

Harold L. Stalford

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(81)90173-6

zbMATH Keywords

bang-bang controldouble integratorstate space decompositionLjapunov's second methodclosed-loop control law

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Decomposition methods (49M27) Continuity and differentiation questions (26B05)

Related Items (6)

Scalar-quadratic stabilizability of the Petersen counterexample via a linear static controller ⋮ A necessary and sufficient condition in Lyapunov robust control ⋮ Robust constrained control for vibration suppression of mismatched systems ⋮ On the robustness of linear stabilizing feedback control for linear uncertain systems: Multi-input case ⋮ Necessary and sufficient condition in Lyapunov robust control: Multi- input case ⋮ Stability via the Lyapunov function with a discontinuous derivative

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