Finite-time stability of discrete-time systems with time-varying delay

Abstract

Finite-time stability can be used in all applications where large values of the state are not acceptable. In this paper, finite-time stability problem for a class of linear time-varying delay systems is studied. Based on Lyapunov-like functions method and using an appropriate model transformation of the original system, the sufficient delay-dependent finite-time stability conditions are derived. The criteria are presented in the form of LMIs, which are dependent on the minimum and maximum delay bounds. The numerical examples are presented to illustrate the applicability of the developed results.

Keywords

• finite-time stability
• time-delay discrete systems
• time-varying delay
• LMIs
• Lyapunov-like method