Further Remarks on the Sampled-Data Feedback Stabilization Problem
John Tsinias, Dionysis Theodosis
TL;DR
This paper extends previous results on sampled-data feedback stabilization for nonlinear systems, providing new sufficient conditions based on discontinuous control Lyapunov functions applicable to affine systems.
Contribution
It introduces extended sufficient conditions for stabilization using discontinuous control Lyapunov functions for a broader class of nonlinear affine systems.
Findings
Extended stabilization conditions for nonlinear affine systems.
Applicable to a wider class of systems than previous results.
Provides theoretical foundation for sampled-data feedback control.
Abstract
The paper deals with the problem of the sampled data feedback stabilization for autonomous nonlinear systems. The corresponding results extend those obtained in earlier works by the same authors. The sufficient conditions we establish are based on the existence of discontinuous control Lyapunov functions and the corresponding results are applicable to a class of nonlinear affine in the control systems.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Adaptive Control of Nonlinear Systems · Stability and Control of Uncertain Systems