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Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift. (English) Zbl 0744.93084

Summary: This paper gives a systematic way to design time-variant feedback control laws for a class of controllable nonlinear systems. This class contains a lot of systems which cannot be stabilized via a time-invariant feedback control law. The interest of this work lies in the design method since a general existence result is already available. The techniques employed here are basic: they mainly involve classical Lyapunov analysis.

MSC:

93D20 Asymptotic stability in control theory
93B05 Controllability
93C10 Nonlinear systems in control theory
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