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Improved results on reachable set estimation of singular systems

Journal Article


Abstract


  • This paper investigates the problem of reachable set estimation for a general class of continuous-time singular linear systems with time-varying delay. By employing a new Lyapunov functional candidate, a criterion with the help of linear matrix inequalities (LMIs) is developed utilizing the new inequality scaling method, free-weighting matrix and the time-delay segmentation method. The reachable set of the underlying system is bounded by the intersection of ellipsoids. The effectiveness of our results are demonstrated by the examples.

Publication Date


  • 2020

Citation


  • Zhang, L., Feng, Z., Jiang, Z., Zhao, N., & Yang, Y. (2020). Improved results on reachable set estimation of singular systems. Applied Mathematics and Computation, 385. doi:10.1016/j.amc.2020.125419

Scopus Eid


  • 2-s2.0-85086470539

Volume


  • 385

Abstract


  • This paper investigates the problem of reachable set estimation for a general class of continuous-time singular linear systems with time-varying delay. By employing a new Lyapunov functional candidate, a criterion with the help of linear matrix inequalities (LMIs) is developed utilizing the new inequality scaling method, free-weighting matrix and the time-delay segmentation method. The reachable set of the underlying system is bounded by the intersection of ellipsoids. The effectiveness of our results are demonstrated by the examples.

Publication Date


  • 2020

Citation


  • Zhang, L., Feng, Z., Jiang, Z., Zhao, N., & Yang, Y. (2020). Improved results on reachable set estimation of singular systems. Applied Mathematics and Computation, 385. doi:10.1016/j.amc.2020.125419

Scopus Eid


  • 2-s2.0-85086470539

Volume


  • 385