Stability radius of implicit dynamic equations with constant coefficients on time scales期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Stability radius of implicit dynamic equations with constant coefficients on time scales

Authors:	Nguyen Huu Du Do Duc ThuanNguyen Chi Liem

Affiliation:	^a Department of Mathematics, Mechanics and Informatics, Viet Nam National University, 334 Nguyen Trai, Hanoi, Viet Nam ^b Department of Applied Mathematics and Informatics, Hanoi University of Technology, 1 Dai Co Viet, Hanoi, Viet Nam

Abstract:	This paper deals with the stability radii of implicit dynamic equations on time scales when the structured perturbations act on both the coefficient of derivative and the right-hand side. Formulas of the stability radii are derived as a unification and generalization of some previous results. A special case where the real stability radius and the complex stability radius are equal is studied. Examples are derived to illustrate results.

Keywords:	Time scales Implicit linear dynamic equation Index of the pencil of matrices Exponentially stable Stability radius
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