Lyapunov‐based consistent discretization of stable homogeneous systems
Copyright policy )Lyapunov‐based consistent discretization of stable homogeneous systems
SummaryIn this article, we propose a discretization scheme for asymptotically stable homogeneous systems. This scheme exploits the information provided by a homogeneous Lyapunov function of the system. The main features of the scheme are: (1) the discretization method is explicit and; (2) the discrete‐time system preserves the asymptotic stability, the convergence rate, and the Lyapunov function of the original continuous‐time system.
Asymptotic stability in control theory, Lyapunov-based methods, Discrete-time control/observation systems, Lyapunov and storage functions, discrete-time systems, Nonlinear systems, Nonlinear systems in control theory, nonlinear systems, homogeneous systems, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering
Asymptotic stability in control theory, Lyapunov-based methods, Discrete-time control/observation systems, Lyapunov and storage functions, discrete-time systems, Nonlinear systems, Nonlinear systems in control theory, nonlinear systems, homogeneous systems, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering
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