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Improved reachable set estimation of discrete-time systems with time-varying delay

Journal Article


Abstract


  • This paper is concerned with the problem of reachable set estimation of discrete-time systems with time-varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by-product. Numerical examples are presented to validate the effectiveness of the obtained results.

Publication Date


  • 2017

Citation


  • Feng, Z., & Zheng, W. X. (2017). Improved reachable set estimation of discrete-time systems with time-varying delay. Optimal Control Applications and Methods, 38(6), 1081-1090. doi:10.1002/oca.2316

Scopus Eid


  • 2-s2.0-85016599654

Web Of Science Accession Number


Start Page


  • 1081

End Page


  • 1090

Volume


  • 38

Issue


  • 6

Abstract


  • This paper is concerned with the problem of reachable set estimation of discrete-time systems with time-varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by-product. Numerical examples are presented to validate the effectiveness of the obtained results.

Publication Date


  • 2017

Citation


  • Feng, Z., & Zheng, W. X. (2017). Improved reachable set estimation of discrete-time systems with time-varying delay. Optimal Control Applications and Methods, 38(6), 1081-1090. doi:10.1002/oca.2316

Scopus Eid


  • 2-s2.0-85016599654

Web Of Science Accession Number


Start Page


  • 1081

End Page


  • 1090

Volume


  • 38

Issue


  • 6