Stabilization of periodic discrete-time nonlinear systems
Résumé
This paper provides sufficient conditions for stabilizing periodic discrete systems. These conditions are derived from a discrete version of a theorem due to Krasovski for continuous-time systems. This tool allows us to give a systematic design of time-varying stabilizing control for autonomous discrete systems that can not be stabilized by time-invariant feedback
Mots clés
Lyapunov function
time-varying feedback
nonlinear control systems
periodic control
stability
asymptotic stability
autonomous discrete systems
sufficient conditions
periodic discrete-time nonlinear systems
time-varying stabilizing control
stabiliza- tion
discrete time systems
control system synthesis
time-varying systems
periodic discrete systems
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