Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities
Citation
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
ISSN
School
School of Electrical Engineering, Computing and Mathematical Science (EECMS)
Collection
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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