Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities
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Authors
Xiao, S.
Xu, L.
Zeng, H.
Teo, Kok Lay
Date
2018Type
Journal Article
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Xiao, S. and Xu, L. and Zeng, H. and Teo, K.L. 2018. Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities. International Journal of Control, Automation and Systems. 16 (4): pp. 1592–1602.
Source Title
International Journal of Control, Automation and Systems
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School
School of Electrical Engineering, Computing and Mathematical Science (EECMS)
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Abstract
This paper is concerned with the stability analysis of linear discrete time-delay systems. New discrete inequalities for single summation and double summation are presented to estimate summation terms in the forward difference of Lyapunov-Krasovskii functional (LKF), which are more general than some commonly used summation inequalities. Through the construction of an augmented LKF, improved delay-dependent stability criteria for discrete time-delay systems are established. Based on this, a time-delayed controller is derived for linear discrete time-delay systems. Finally, the advantages of the proposed criteria are revealed from the solutions of the numerical examples.
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