New Results on Finite/Fixed-Time Stabilization of Stochastic Second-Order Neutral-Type Neural Networks with Mixed Delays

被引:6
作者
Aouiti, Chaouki [1 ]
Jallouli, Hediene [1 ]
Zhu, Quanxin [2 ]
Huang, Tingwen [3 ]
Shi, Kaibo [4 ]
机构
[1] Univ Carthage, Fac Sci Bizerta, GAMA Lab LR21ES10, Dept Math, BP W, Zarzouna 7021, Bizerta, Tunisia
[2] Hunan Normal Univ, Sch Math & Stat, CHP LCOCS, Changsha 410081, Hunan, Peoples R China
[3] Texas A&M Univ Qatar, Sci Program, Doha 23874, Qatar
[4] Chengdu Univ, Sch Elect Informat & Elect Engn, Chengdu 610106, Peoples R China
基金
中国国家自然科学基金;
关键词
Fixed-time stability; Finite-time stability; Inertial; Stochastic perturbations; Time-varying delays; EXPONENTIAL STABILITY; PROPORTIONAL DELAYS; FRACTIONAL-ORDER; STATE ESTIMATION; VARYING DELAY; SYNCHRONIZATION; SYSTEMS; DISCRETE; THEOREM;
D O I
10.1007/s11063-022-10868-9
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper states with the objective of investigating the finite-time stabilization and fixed-time stabilization analysis for stochastic second-order neutral-type neural networks with mixed delays. By using a variable transformation, we first rewrite the original system as a first-order differential system. By designing some feedback control laws inputs, stochastic analysis theory, finite-time stability theorem, fixed-time stability theorem, based on Lyapunov Functionals and inequalities techniques, new sufficient conditions ensuring the finite/fixed-time stabilization of the suggested system are given. Finally, the developed main control schemes, the finite/fixed-time stabilization for the stochastic Neural Networks are confirmed by two simulations examples.
引用
收藏
页码:5415 / 5437
页数:23
相关论文
共 79 条
[1]   Modified projective synchronization of distributive fractional order complex dynamic networks with model uncertainty via adaptive control [J].
Aadhithiyan, S. ;
Raja, R. ;
Zhu, Q. ;
Alzabut, J. ;
Niezabitowski, M. ;
Lim, C. P. .
CHAOS SOLITONS & FRACTALS, 2021, 147
[2]   Exponential Synchronization of Nonlinear Multi-weighted Complex Dynamic Networks with Hybrid Time Varying Delays [J].
Aadhithiyan, S. ;
Raja, R. ;
Zhu, Quanxin ;
Alzabut, J. ;
Niezabitowski, M. ;
Lim, C. P. .
NEURAL PROCESSING LETTERS, 2021, 53 (02) :1035-1063
[3]   Homoclinic and heteroclinic motions of delayed inertial neural networks [J].
Achouri, Houssem ;
Aouiti, Chaouki .
NEURAL COMPUTING & APPLICATIONS, 2021, 33 (12) :6983-6998
[4]   Bogdanov-Takens Bifurcation in a Neutral Delayed Hopfield Neural Network with Bidirectional Connection [J].
Achouri, Houssem ;
Aouiti, Chaouki ;
Ben Hamed, Bassem .
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2020, 13 (06)
[5]   Finite-time and fixed-time synchronization of a class of inertial neural networks with multi-proportional delays and its application to secure communication [J].
Alimi, Adel M. ;
Aouiti, Chaouki ;
Assali, El Abed .
NEUROCOMPUTING, 2019, 332 :29-43
[6]   Fixed-time stabilization of fuzzy neutral-type inertial neural networks with time-varying delay [J].
Aouiti, Chaouki ;
Hui, Qing ;
Jallouli, Hediene ;
Moulay, Emmanuel .
FUZZY SETS AND SYSTEMS, 2021, 411 :48-67
[7]   State feedback controllers based finite-time and fixed-time stabilisation of high order BAM with reaction-diffusion term [J].
Aouiti, Chaouki ;
Jallouli, Hediene .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2021, 52 (05) :905-927
[8]   Fixed-time synchronization of competitive neural networks with proportional delays and impulsive effect [J].
Aouiti, Chaouki ;
Assali, El Abed ;
Cherif, Farouk ;
Zeglaoui, Anis .
NEURAL COMPUTING & APPLICATIONS, 2020, 32 (17) :13245-13254
[9]   New Results on Interval General Cohen-Grossberg BAM Neural Networks [J].
Aouiti, Chaouki ;
Dridi, Farah .
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 33 (04) :944-967
[10]   Piecewise Pseudo Almost-Periodic Solutions of Impulsive Fuzzy Cellular Neural Networks with Mixed Delays [J].
Aouiti, Chaouki ;
Ben Gharbia, Imen .
NEURAL PROCESSING LETTERS, 2020, 51 (02) :1201-1225