New results on finite-time stability of nonlinear fractional-order multi-time delay systems: Delayed Gronwall inequality approach

被引：0
作者：
Lazarevic, Mihailo P. [1 ]
Pisl, Stjepko [1 ]
Radojevic, Darko [2 ]
机构：
[1] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11120, Serbia
[2] Dunav Insurance Co, Ustanicka 128, Belgrade 11050, Serbia
来源：
FILOMAT | 2024年 / 38卷 / 14期
关键词：
Finite-time stability; Fractional order; Delay system; Nonlinear; Delayed Gronwall inequality;
D O I：
10.2298/FIL2414209L
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, finite time stability (FTS) analysis of fractional-order nonlinear multi-time delay systems is studied. By use of a fractional Gronwall inequality with time delay, new FTS criteria for proposed systems are established. Two numerical examples are given to illustrate the effectiveness of the obtained theoretical results.
引用
收藏
页码：5209 / 5221
页数：13
相关论文
共 25 条
[1]  
Angelo H.D., 1970, Linear time-varying systems: analysis and synthesis
[2]   Finite-time stability results for fractional damped dynamical systems with time delays [J].
Arthi, Ganesan ;
Brindha, Nallasamy ;
Baleanu, Dumitru .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, 27 (02) :221-233
[3]   On Gronwall's Type Integral Inequalities with Singular Kernels [J].
Ashyraliyev, Maksat .
FILOMAT, 2017, 31 (04) :1041-1049
[4]   Finite-time stability of fractional-order fuzzy cellular neural networks with time delays [J].
Du, Feifei ;
Lu, Jun-Guo .
FUZZY SETS AND SYSTEMS, 2022, 438 :107-120
[5]   New approach to finite-time stability for fractional-order BAM neural networks with discrete and distributed delays [J].
Du, Feifei ;
Lu, Jun-Guo .
CHAOS SOLITONS & FRACTALS, 2021, 151 (151)
[6]   New criterion for finite-time synchronization of fractional order memristor-based neural networks with time delay [J].
Du, Feifei ;
Lu, Jun-Guo .
APPLIED MATHEMATICS AND COMPUTATION, 2021, 389
[7]   New Criteria on Finite-Time Stability of Fractional-Order Hopfield Neural Networks With Time Delays [J].
Du, Feifei ;
Lu, Jun-Guo .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 32 (09) :3858-3866
[8]   New criterion for finite-time stability of fractional delay systems [J].
Du, Feifei ;
Lu, Jun-Guo .
APPLIED MATHEMATICS LETTERS, 2020, 104
[9]  
Gu K., 2003, Stability of Time-Delay Systems
[10]  
Kilbas AA., 2006, Theory and Applications of Fractional Differential Equations
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