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Reachable Set Estimation for Discrete-Time Singular Systems

Journal Article


Abstract


  • This paper is concerned with the problem of reachable set estimation for discrete-time singular systems with bounded input disturbances. Based on the Lyapunov method, a new sufficient condition is established in terms of linear matrix inequality (LMI) to guarantee that the reachable set of discrete-time singular system is bounded by the intersection of ellipsoids. Then the result is extended to the problem for discrete-time singular systems with time-varying delay by utilizing the delay-dependent approach and free weighting matrices. Two numerical examples are provided to demonstrate the effectiveness of the obtained results proposed in this paper.

Publication Date


  • 2017

Citation


  • Li, J., Feng, Z., & Zhang, C. (2017). Reachable Set Estimation for Discrete-Time Singular Systems. Asian Journal of Control, 19(5), 1862-1870. doi:10.1002/asjc.1484

Scopus Eid


  • 2-s2.0-85013465993

Web Of Science Accession Number


Start Page


  • 1862

End Page


  • 1870

Volume


  • 19

Issue


  • 5

Abstract


  • This paper is concerned with the problem of reachable set estimation for discrete-time singular systems with bounded input disturbances. Based on the Lyapunov method, a new sufficient condition is established in terms of linear matrix inequality (LMI) to guarantee that the reachable set of discrete-time singular system is bounded by the intersection of ellipsoids. Then the result is extended to the problem for discrete-time singular systems with time-varying delay by utilizing the delay-dependent approach and free weighting matrices. Two numerical examples are provided to demonstrate the effectiveness of the obtained results proposed in this paper.

Publication Date


  • 2017

Citation


  • Li, J., Feng, Z., & Zhang, C. (2017). Reachable Set Estimation for Discrete-Time Singular Systems. Asian Journal of Control, 19(5), 1862-1870. doi:10.1002/asjc.1484

Scopus Eid


  • 2-s2.0-85013465993

Web Of Science Accession Number


Start Page


  • 1862

End Page


  • 1870

Volume


  • 19

Issue


  • 5