|
Avtomatika i Telemekhanika, 2012, Issue 6, Pages 89–102
(Mi at3815)
|
|
|
|
This article is cited in 6 scientific papers (total in 6 papers)
Robust and Adaptive Systems
Robust stability of systems of linear differential equations with periodic impulsive influence
V. I. Slyn'koa, V. S. Denisenkob a Timoshenko Institute of Mechanics, National Academy of Sciences, Kiev, Ukraine
b Khmelnytsky Cherkassy National University, Cherkassy, Ukraine
Abstract:
We give sufficient robust stability conditions for matrix polytopes of linear systems with impulsive influence. The methods of our study are based on logarithmic matrix measure theory and linear operator theory in Banach spaces. Our results reduce the robust stability problem to the feasibility problem for a system of linear matrix inequalities in the class of positive definite matrices.
Citation:
V. I. Slyn'ko, V. S. Denisenko, “Robust stability of systems of linear differential equations with periodic impulsive influence”, Avtomat. i Telemekh., 2012, no. 6, 89–102; Autom. Remote Control, 73:6 (2012), 1005–1015
Linking options:
https://www.mathnet.ru/eng/at3815 https://www.mathnet.ru/eng/at/y2012/i6/p89
|
Statistics & downloads: |
Abstract page: | 401 | Full-text PDF : | 134 | References: | 55 | First page: | 24 |
|