Control Lyapunov Functions and Stabilization by Means of Continuous Time-Varying Feedback

2007/11/20 by Iasson Karafyllis, Karafyllis, Iasson, John Tsinias +1
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC

paper · pdf · doi:10.48550/arxiv.0711.3082

Submitted for possible publication to ESAIM Control, Optimisation and Calculus of Variations

arxiv created 2007/11/20 · arxiv updated 2009/12/01

Abstract

For a general time-varying system, we prove that existence of an "Output Robust Control Lyapunov Function" implies existence of continuous time-varying feedback stabilizer, which guarantees output asymptotic stability with respect to the resulting closed-loop system. The main results of the present work constitute generalizations of a well-known result towards feedback stabilization due to J. M. Coron and L. Rosier concerning stabilization of autonomous systems by means of time-varying periodic feedback.

Related

• Necessary and Sufficient Lyapunov-Like Conditions for Robust Nonlinear Stabilization
• A new class of universal Lyapunov functions for the control of uncertain linear systems
• Lyapunov methods for input-to-state stability of time-varying evolution equations
• Global stabilization of nonlinear systems based on vector control lyapunov functions
• Robust output stability and input-to-output stability based on output dissipation