Stability Criteria of Linear Time-Delay Singular Systems Based on Wirtinger-Type Integral Inequality

doi:10.16183/j.cnki.jsjtu.2020.147

Abstract

Abstract:

Aimed at the asymptotic stability of linear time-delay singular system,the time-delay interval was evenly divided by using the time-delay division method, and a Lyapunov-Krasovskii functional (LKF) with multiple integral terms was constructed to effectively utilize the time-delay information of each sub-interval. Next, some improved Wirtinger-type integral inequalities were employed to estimate the LKF derivative and obtain a tighter estimation. Then, delay-dependent sufficient conditions were established to ensure the asymptotic stability of the addressed system. Finally, by using three numerical examples, comparisons and simulations were presented to illustrate the efficiency and superiority of the proposed method.

Key words: time-delay singular system, asymptotic stability, Wirtinger-type integral inequality, linear matrix inequality (LMI)

CLC Number:

TP13

ZHU Jinliang, WANG Ting, LI Tao. Stability Criteria of Linear Time-Delay Singular Systems Based on Wirtinger-Type Integral Inequality[J]. Journal of Shanghai Jiaotong University, 2020, 54(9): 967-972.

Figures/Tables 4

References 20

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c	τ_max
c	文献[15]	文献[16](N=2)	文献[17]	定理1
1.2	3.1763	3.3657	3.8045	9.2198
1.4	2.5740	2.7167	3.0433	7.6275
1.6	2.1675	2.2814	2.5396	6.5287
2.0	1.6509	0.7310	1.9114	5.0937

方法	τ_max
文献[19]	1.5405
文献[4]	1.7122
文献[20]	1.7145
推论1	2.8985