On stabilisability of nonlinear systems on time scales

被引：32

作者：

Bartosiewicz, Zbigniew ^{[1
]}

Piotrowska, Ewa ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Wiejska, Biaiystok, Poland

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2013年 / 86卷 / 01期

关键词：

control system; stabilisability; uniform exponential stability; time scale; EXPONENTIAL STABILITY; DYNAMIC EQUATIONS; STABILIZATION;

D O I：

10.1080/00207179.2012.721563

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, stabilisability of nonlinear finite-dimensional control systems on arbitrary time scales is studied. The classical results on stabilisation of nonlinear continuous-time and discrete-time systems are extended to systems on arbitrary time scales with bounded graininess function. It is shown that uniform exponential stability of the linear approximation of a nonlinear system implies uniform exponential stability of the nonlinear system. Then this result is used to show a similar implication for uniform exponential stabilisability.

引用

页码：139 / 145

页数：7

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