Stabilization in the Sample-and-Hold Sense of Nonlinear Retarded Systems

In this paper, the problem of the stabilization in the sample-and-hold sense for fully nonlinear systems with an arbitrary number of arbitrary discrete as well as of distributed time delays is studied. It is shown that steepest descent feedbacks, continuous or not, induced by Lyapunov--Krasovskii fu...

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Veröffentlicht in:	SIAM journal on control and optimization 2014-01, Vol.52 (5), p.3053-3077
1. Verfasser:	Pepe, P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Control systems Discontinuity Dynamical systems Nonlinear dynamics Optimization Sampling Stabilization Time delay
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creator	Pepe, P.
description	In this paper, the problem of the stabilization in the sample-and-hold sense for fully nonlinear systems with an arbitrary number of arbitrary discrete as well as of distributed time delays is studied. It is shown that steepest descent feedbacks, continuous or not, induced by Lyapunov--Krasovskii functionals in a suitable (large) class, are stabilizers in the sample-and-hold sense. The fact that discontinuities are overcome by the sampling and holding process enlarges greatly the possibility of finding successful controllers for retarded nonlinear systems, by means of control Lyapunov--Krasovskii functionals.
doi_str_mv	10.1137/130943182
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subjects	Control systems Discontinuity Dynamical systems Nonlinear dynamics Optimization Sampling Stabilization Time delay
title	Stabilization in the Sample-and-Hold Sense of Nonlinear Retarded Systems
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