Stability of Discrete-Time Systems with Time-Varying Delay: Delay Decomposition Approach

  • Sreten B. Stojanovic University of Nis, Faculty of Technology Serbia, 16000 Leskovac, Bulevar oslobodjenja 124
  • Dragutin L.J. Debeljkovic University of Belgrade, Faculty of Mechanical Engineering Serbia, 11120 Beograd, Kraljice Marije 16
  • Nebojsa Dimitrijevic University of Belgrade, Faculty of Mechanical Engineering Serbia, 11120 Beograd, Kraljice Marije 16

Abstract

This article deals with the problem of obtaining delay-dependent stability conditions for a class of discrete-time systems with interval time-varying delay. Using the decomposition the delay interval into two unequal subintervals by tuning parameter α, a new interval delay-dependent Lyapunov-Krasovskii functional is constructed to derive novel delay-dependent stability conditions which are expressed in terms of linear matrix inequalities. This leads to reduction of conservatism in terms of the upper bounds of the maximum time-delay. The numerical examples show that the obtained result is less conservative than some existing ones in the literature.

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Published
2014-09-16
How to Cite
STOJANOVIC, Sreten B.; DEBELJKOVIC, Dragutin L.J.; DIMITRIJEVIC, Nebojsa. Stability of Discrete-Time Systems with Time-Varying Delay: Delay Decomposition Approach. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, [S.l.], v. 7, n. 4, p. 776-784, sep. 2014. ISSN 1841-9844. Available at: <http://univagora.ro/jour/index.php/ijccc/article/view/1375>. Date accessed: 16 july 2020. doi: https://doi.org/10.15837/ijccc.2012.4.1375.

Keywords

time-delay systems, interval time-varying delay, asymptotic stability, delay-dependent stability, Lyapunov-Krasovskii methods