ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Exponential Stabilization of Linear Systems with Mixed Delays in State and Control


Le Van Hien

Mathematics Department,
Hanoi National University of Education

Hoang Van Thi

Department of Natural Science,
Hongduc University


This paper considers the exponential stabilization problem for a class of linear systems with mixed time delays in both state and control.
By using an improved Lyapunov-Krasovskii functional and memoryless controller, new conditions for the exponential stabilization of the system are derived in terms of linear matrix inequalities (LMIs). This approach allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. A numerical example is given to illustrate the effectiveness of our result.

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