Lyapunov functions and stability of dynamical polysystems

DOI10.1007/BF01704919zbMath0628.93056OpenAlexW1977282728MaRDI QIDQ3765668

Andrea Bacciotti, Nicholas Kalouptsidis, John Tsinias

Publication date: 1987

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01704919

zbMATH Keywords

Lyapunov functionasymptotic stabilitycompact setreachable setspolysystem

Mathematics Subject Classification ID

Controllability (93B05) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Control/observation systems in abstract spaces (93C25) Locally convex Fréchet spaces and (DF)-spaces (46A04) Attainable sets, reachability (93B03)

Related Items (11)

Stability of dynamical polysystems via families of Liapunov functions ⋮ A Lyapunov description of stability in control systems ⋮ Geometrical and topological methods in optimal control theory ⋮ Lyapunov stability and weak attraction for control systems ⋮ On the stabilization of bilinear systems via constant feedback ⋮ Asymptotic stability in general dynamical systems ⋮ Prolongations and stability analysis via lyapunov functions of dynamical polysystems ⋮ Lyapunov stability for semigroup actions ⋮ Stabilization of affine in control nonlinear systems ⋮ Topological properties of prolongations and stable sets for semigroup actions ⋮ A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions

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