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An improved result on reachable set estimation and synthesis of time-delay systems

Journal Article


Abstract


  • In this paper, the problems of reachable set estimation and synthesis of time-delay systems are investigated. By introducing the non-uniform delay-partitioning method and the triple integral technique, an improved reachable set estimation condition is proposed in terms of linear matrix inequality. Based on the criterion, a sufficient condition for the existence of a state-feedback controller is established to render the reachable set of the closed-loop system be bounded by a given ellipsoid. Two numerical examples are given to demonstrate the effectiveness of the obtained results.

Publication Date


  • 2014

Citation


  • Feng, Z., & Lam, J. (2014). An improved result on reachable set estimation and synthesis of time-delay systems. Applied Mathematics and Computation, 249, 89-97. doi:10.1016/j.amc.2014.10.004

Scopus Eid


  • 2-s2.0-84910096410

Web Of Science Accession Number


Start Page


  • 89

End Page


  • 97

Volume


  • 249

Abstract


  • In this paper, the problems of reachable set estimation and synthesis of time-delay systems are investigated. By introducing the non-uniform delay-partitioning method and the triple integral technique, an improved reachable set estimation condition is proposed in terms of linear matrix inequality. Based on the criterion, a sufficient condition for the existence of a state-feedback controller is established to render the reachable set of the closed-loop system be bounded by a given ellipsoid. Two numerical examples are given to demonstrate the effectiveness of the obtained results.

Publication Date


  • 2014

Citation


  • Feng, Z., & Lam, J. (2014). An improved result on reachable set estimation and synthesis of time-delay systems. Applied Mathematics and Computation, 249, 89-97. doi:10.1016/j.amc.2014.10.004

Scopus Eid


  • 2-s2.0-84910096410

Web Of Science Accession Number


Start Page


  • 89

End Page


  • 97

Volume


  • 249