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Improved Results on Reachable Set Bounding for Linear Delayed Systems with Polytopic Uncertainties

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  • Hao Chen

Abstract

This paper focuses on bound of reachable sets for delayed linear systems with polytopic uncertainties. Based on Lyapunov-Krasovskii functional theory, delay decomposition technique, and reciprocally convex method, some new results expressed in the form of linear matrix inequalities are derived. It should be noted that triple integral functionals are first to be introduced for reachable set analysis. Consequently, a tighter bound of the reachable set is obtained. Four numerical examples are given to illustrate the effectiveness and advantage of the proposed results comparing with the existing criteria.

Suggested Citation

  • Hao Chen, 2015. "Improved Results on Reachable Set Bounding for Linear Delayed Systems with Polytopic Uncertainties," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-11, May.
    • Handle: RePEc:hin:jnddns:895412
    DOI: 10.1155/2015/895412
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    Cited by:

    1. Chang-Hua Lien & Hao-Chin Chang & Ker-Wei Yu & Hung-Chi Li & Yi-You Hou, 2021. "Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations," Mathematics, MDPI, vol. 9(21), pages 1-24, October.

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