Universal Journal of Electrical and Electronic Engineering Vol. 2(2), pp. 52 - 58
DOI: 10.13189/ujeee.2014.020202
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Stabilization Criteria for Bilinear Systems with Time-varying Delay

Pin-Lin Liu ^*
Department of Automation Engineering Institute of Mechatronoptic System, Chienkuo Technology University, Taiwan

ABSTRACT

In this paper we consider the problem of stabilizing a bilinear system with time- varying delay via linear state feedback control. Based on the Lyapunov method, a delay-dependent criterion for determining the stabilization of system is obtained in terms of linear matrix inequalities (LMIs) and used to express the relationships between the terms in the Leibniz-Newton formula, which can be easily solved by efficient convex optimization algorithms. From the numerical examples, the obtained results have some significant improvements over the recent literatures.

KEYWORDS
Bilinear System, Time-varying Delay, Linear Matrix Inequalities (LMIs), convex Optimization Algorithms

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Pin-Lin Liu , "Stabilization Criteria for Bilinear Systems with Time-varying Delay," Universal Journal of Electrical and Electronic Engineering, Vol. 2, No. 2, pp. 52 - 58, 2014. DOI: 10.13189/ujeee.2014.020202.

(b). APA Format:
Pin-Lin Liu (2014). Stabilization Criteria for Bilinear Systems with Time-varying Delay. Universal Journal of Electrical and Electronic Engineering, 2(2), 52 - 58. DOI: 10.13189/ujeee.2014.020202.