# American Institute of Mathematical Sciences

April  2018, 14(2): 583-596. doi: 10.3934/jimo.2017061

## LP approach to exponential stabilization of singular linear positive time-delay systems via memory state feedback

 1 Department of Mathematics, Electric Power University, 235 Hoang Quoc Viet Road, Hanoi, Vietnam 2 Institute of Mathematics, VAST, 18 Hoang Quoc Viet Road, Hanoi, Vietnam

Received  October 2016 Revised  January 2017 Published  April 2018 Early access  June 2017

This paper deals with the exponential stabilization problem by means of memory state feedback controller for linear singular positive systems with delay. By using system decomposition approach, singular systems theory and Lyapunov function method, we obtain new delay-dependent sufficient conditions for designing such controllers. The conditions are given in terms of standard linear programming (LP) problems, which can be solved by LP optimal toolbox. A numerical example is given to illustrate the effectiveness of the proposed method.

Citation: Nguyen H. Sau, Vu N. Phat. LP approach to exponential stabilization of singular linear positive time-delay systems via memory state feedback. Journal of Industrial & Management Optimization, 2018, 14 (2) : 583-596. doi: 10.3934/jimo.2017061
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