Lyapunov stability of abstract nonlinear dynamic system in Banach space
Copyright policy )Lyapunov stability of abstract nonlinear dynamic system in Banach space
The authors consider the problem of stability for nonlinear dynamical systems in Banach spaces. The Lyapunov stable theorem and the Barbashin-Krasovskii-La Salle invariant set principle are extended. Necessary and sufficient conditions for uniform stability and uniform, asymptotic stability are obtained and the Lyapunov functions are explicitly constructed.
- University of Hong Kong China (People's Republic of)
- Shanxi University China (People's Republic of)
- University of Hong Kong (香港大學) China (People's Republic of)
Abstract nonlinear dynamic equation, Asymptotic stability in control theory, asymptotic stability, Banach space, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Stability of solutions to ordinary differential equations, Nonlinear differential equations in abstract spaces, stability, nonlinear dynamical systems in Banach spaces, Barbashin-Krasovskii-La Salle invariant set principle, Lyapunov and storage functions, Lyapunov stability, Nonlinear systems in control theory, Control/observation systems in abstract spaces, Lyapunov functions
Abstract nonlinear dynamic equation, Asymptotic stability in control theory, asymptotic stability, Banach space, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Stability of solutions to ordinary differential equations, Nonlinear differential equations in abstract spaces, stability, nonlinear dynamical systems in Banach spaces, Barbashin-Krasovskii-La Salle invariant set principle, Lyapunov and storage functions, Lyapunov stability, Nonlinear systems in control theory, Control/observation systems in abstract spaces, Lyapunov functions
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