On Diagonal Stability of Positive Systems with Switches and Delays

被引：0

作者：

A. Yu. Aleksandrov

O. Mason

机构：

[1] St. Petersburg State University,

[2] ITMO University (National Research University of Information Technologies,undefined

[3] Mechanics and Optics),undefined

[4] National University of Ireland,undefined

[5] Irish Software Research Centre Lero,undefined

来源：

Automation and Remote Control | 2018年 / 79卷

关键词：

switching systems; delays; diagonal stability; positive system; linear inequalities;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider linear positive systems with delay and switchings of operation modes. We establish conditions under which it is possible to construct a common Lyapunov–Krasovskii diagonal functional for the family of subsystems corresponding to the system with switchings in consideration. These conditions are formulated in terms of the feasibility of auxiliary systems of linear algebraic inequalities. In addition, we study the problem of the existence of a diagonal functional of a special form. We also show that our results can be used to analyze the stability of some classes of nonlinear positive systems with delay.

引用

页码：2114 / 2127

页数：13

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