On data dependence of stability domains, exponential stability and stability radii for implicit linear dynamic equations

被引：4

作者：

Nguyen Thu Ha ^{[1
]}

Nguyen Huu Du ^{[2
]}

Do Duc Thuan ^{[3
]}

机构：

[1] Elect Power Univ, Dept Basic Sci, 235 Hoang Quoc Viet Str, Hanoi, Vietnam

[2] Vietnam Natl Univ, Dept Math Mech & Informat, 334 Nguyen Trai Str, Hanoi, Vietnam

[3] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet Str, Hanoi, Vietnam

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2016年 / 28卷 / 02期

关键词：

Implicit dynamic equations; Time scales; Convergence; Stability domain; Spectrum; Exponential stability; Stability radius; DIFFERENTIAL-ALGEBRAIC EQUATIONS; CONSTANT-COEFFICIENTS; ROBUST STABILITY; TIME SCALES; SYSTEMS; STABILIZABILITY;

D O I：

10.1007/s00498-016-0164-7

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We shall deal with some problems concerning the stability domains, the spectrum of matrix pairs, the exponential stability and its robustness measure for linear implicit dynamic equations of arbitrary index. First, some characterizations of the stability domains corresponding to a convergent sequence of time scales are derived. Then, we investigate how the spectrum of matrix pairs, the exponential stability and the stability radii for implicit dynamic equations depend on the equation data when the structured perturbations act on both the coefficient of derivative and the right-hand side.

引用

页数：28

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