Robust stability of linear time-varying implicit dynamic equations: a general consideration

被引：0
作者：
Do Duc Thuan
Khong Chi Nguyen
Nguyen Thu Ha
Nguyen Huu Du
机构：
[1] Hanoi University of Science and Technology,School of Applied Mathematics and Informatics
[2] Tan Trao University,Department of Basic Science
[3] Hanoi Pedagogical University 2,Department of Mathematics
[4] Electric Power University,Department of Basic Science
[5] Vietnam National University,Department of Mathematics, Mechanics and Informatics
来源：
Mathematics of Control, Signals, and Systems | 2019年 / 31卷
关键词：
Time-varying system; Implicit dynamic equation; Input–output operator; Robust stability; Stability radius;
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摘要：
In this paper, the problem of robust stability for linear time-varying implicit dynamic equations is generally studied. We consider the effect of uncertain structured perturbations on all coefficient matrices of equations. A formula of stability radius with respect to dynamic structured perturbations acting on the right-hand side coefficients is obtained. In case where structured perturbations affect on both derivative and the right-hand side, the lower bounds for the stability radius are derived. The results are novel and extend many previous results about robust stability for time-varying ordinary differential/difference equations, time-varying differential algebraic equations and time-varying implicit difference equations.
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页码：385 / 413
页数：28
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