Delay-variation-dependent summation inequality and its application to stability analysis of discrete-time systems with time-varying delay.
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| Title: | Delay-variation-dependent summation inequality and its application to stability analysis of discrete-time systems with time-varying delay. |
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| Authors: | Wang, Chen-Rui (AUTHOR), He, Yong1 (AUTHOR) heyong08@cug.edu.cn, Zhang, Chuan-Ke (AUTHOR), Chen, Wen-Hu (AUTHOR), Wu, Min (AUTHOR) |
| Source: | Systems & Control Letters. Feb2024, Vol. 184, pN.PAG-N.PAG. 1p. |
| Subjects: | Discrete-time systems, Time-varying systems, Stability criterion, Conservatism, Linear matrix inequalities |
| Abstract: | This work tends to research the stability of the discrete-time systems with a time-varying delay based on the Lyapunov-Krasovskii functional (LKF) method. In order to acquire a less conservative stability criterion, some techniques in this work are refined and taken into use. Firstly, to reduce the conservatism generated when estimating the forward difference of the LKF, a newly delay-variation-dependent summation inequality is constructed, which includes the existing free-matrix-based and Bessel function-based summation inequalities, using delay-variation-product relaxed matrices to provide more freedom for the estimation results. Secondly, to further show the influence of the introduced variation information in the time-varying delay, we give another selection of the allowable delay set for the delayed discrete-time systems. Thirdly, by taking advantages of the above method and by constructing a delay-product-type LKF, using extended free-weighting-matrices zero equations, and considering different allowable delay sets, two improved linear matrix inequality (LMI)-based delay-variation-dependent criteria for delayed discrete-time systems are formulated. Some classical numerical instances are presented to explain the effectiveness of these proposed stability criteria. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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