RT info:eu-repo/semantics/article
T1 Finite-Time Stability for Discrete-Time Systems with Time-Varying Delays and Nonlinear Perturbations Using Relaxed Summation Inequality
A1 El Akchioui, Nabil
A1 El Fezazi, Nabil
A1 Farkous, Rashid
A1 Álvarez Álvarez, María Teresa
A1 Tissir, El Houssaine
K1 331005
K1 Finite time stability (FTS)   Delayed discrete-time systems   Nonlinear perturbations   Reduced free-matrixbased inequality
K1 331005
AB This article deals with the problem of delay-dependent finite-time stability (FTS) for delayed discrete-time systems withnonlinear perturbations. First, based on a Lyapunov–Krasovskii Functional, delay-dependent FTS conditions are providedby introducing some free-weighting matrices. Then, a new reduced free-matrix-based inequality is established to estimatethe single summation term. The dimensions of these free matrices integral in our results are less than those obtained in theliterature. This reduction in the number of variables does not mean that our method is a particular case but simply that ourapproach is completely different from the others and therefore our method is more effective. Thus, less conservative designconditions are obtained in this paper in terms of linear matrix inequalities (LMIs) and solved using MATLAB’s LMItoolbox to achieve the desired performance. The purpose of this paper is to derive sufficient conditions that ensure thefinite-time stability of the discrete-time system. Finally, numerical examples are examined to show the advantage andeffectiveness of the proposed results.
PB Springer
SN 2228-6179
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/64320
UL https://uvadoc.uva.es/handle/10324/64320
LA eng
NO Iranian Journal of Science and Technology, Transactions of Electrical Engineering, Octubre , 2023
NO Producción Científica
DS UVaDOC
RD 23-nov-2024