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Enhanced Stability Criteria for Discrete-time Systems with Time-varying Delay

  • Control Theory and Applications
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

The stability problem of discrete-time linear systems with interval time-varying delays is investigated in this paper. According to the latest summation inequality technique, an improved free-matrix-based summation inequality is proposed in this paper. In order to make full use of the improved inequality to bound the upper bounds of the difference Lyapunov-Krasovskii functional (LKF), an augmented LKF with some extra status information is constructed. A new delay-range-dependent stability criterion is derived in the form of linear matrix inequalities (LMIs) via the modified LKF approach. The criterion is less conservative than some existing results. Finally, some standard numerical examples are presented the effectiveness of the proposed approach.

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Authors and Affiliations

  1. School of Physics and Electronic Engineering, Yancheng Teachers University, Yancheng Jiangsu, China

    Lijuan Zhu & Chengyun Zhu

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  1. Lijuan Zhu
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  2. Chengyun Zhu
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Correspondence to Lijuan Zhu.

Additional information

This work was supported by the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province under Grant no. 17KJD240002.

Lijuan Zhu received her M.E. degree in control engineering from GuangXi University, Guangxi, China, in 2008. Now she is a lecturer in the School of Physics and Electronic Engineering, Yancheng Teachers University, China. Her research interests include consensus problems in multiagent systems and stability analysis for time-delay systems.

Chengyun Zhu received his Ph.D. degree in agricultural electrification and automation from Jiangsu University, Zhenjiang, China, in 2019. Now he is an associate professor in the School of Physics and Electronic Engineering, Yancheng Teachers University, China. His research interests include consensus problems in multiagent systems and stability analysis for time-delay systems.

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Zhu, L., Zhu, C. Enhanced Stability Criteria for Discrete-time Systems with Time-varying Delay. Int. J. Control Autom. Syst. 19, 2385–2394 (2021). https://doi.org/10.1007/s12555-020-0351-7

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  • DOI: https://doi.org/10.1007/s12555-020-0351-7

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