Title :
Sufficient Conditions for Closed-Loop Asymptotic Controllability and Stabilization by Smooth Time-Varying Feedback Integrator
Author_Institution :
Dept. of Math., Nat. Tech. Univ., Athens
Abstract :
For general finite-dimensional time-varying nonlinear systems, we derive sufficient conditions for closed-loop asymptotic controllability and asymptotic stabilization by means of a smooth ordinary time-varying feedback integrator. The main hypotheses are based on the existence of an almost smooth time-varying control Lyapunov function. The corresponding results generalize earlier works in the literature concerning dynamic stabilization for autonomous systems.
Keywords :
Lyapunov methods; asymptotic stability; controllability; feedback; nonlinear systems; time-varying systems; Lyapunov function; closed-loop asymptotic controllability; closed-loop asymptotic stabilization; dynamic stabilization; nonlinear systems; smooth time-varying feedback integrator; Control systems; Controllability; Feedback; Lyapunov method; Mathematics; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Sufficient conditions; Time varying systems; Control Lyapunov functions; dynamic closed-loop asymptotic controllability; stabilization;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.929393
