Convergence of switched linear systems with time-delay in detection of switching law

被引：4

作者：

Perez, Carmen ^{[1
]}

Benitez, Francisco ^{[1
]}

机构：

[1] Univ Cadiz, Dept Matemat, Cadiz 11510, Spain

来源：

IET CONTROL THEORY AND APPLICATIONS | 2014年 / 8卷 / 08期

关键词：

linear systems; convergence; delays; stability; switching law detection; second-order switched linear systems; stabilisation; time-delay existence; time-delay uniqueness; value estimation; VARYING DELAY; STABILIZATION; STABILIZABILITY; STABILITY; DESIGN;

D O I：

10.1049/iet-cta.2012.0991

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This study studies the stabilisation of second-order switched linear systems in which delays are present in detection of switching law. For stabilisable second-order switched linear systems and constant time-delay the authors find under which values of time-delay the switched system is stable under the same switching law. Hence, they prove the existence and uniqueness of a value of time-delay that satisfies that if time-delay is less, the system is stable and, if time-delay is greater, the system is not stable. Moreover, a method of estimating this value is obtained. Finally, a numerical example is presented in order to illustrate the results.

引用

页码：647 / 654

页数：8

共 16 条

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