Weighted pseudo θ-almost periodic sequence solution and guaranteed cost control for discrete-time and discrete-space stochastic inertial neural networks

Chaos, Solitons & Fractals - Tập 173 - Trang 113658 - 2023
Tianwei Zhang1, Huizhen Qu1, Yuntao Liu2, Jianwen Zhou1
1Department of Mathematics, Yunnan University, Kunming 650091, PR China
2Oxbridge College, Kunming University of Science and Technology, Kunming 650106, PR China

Tài liệu tham khảo

Ganesan, 2022, Synchronization of stochastic neural networks using looped-lyapunov functional and its application to secure communication, IEEE Trans Neural Netw Learn Syst, 10.1109/TNNLS.2022.3202799 Alsaedi, 2022, Synchronization of master–slave memristive neural networks via fuzzy output-based adaptive strategy, Chaos Soliton Fractal, 158, 10.1016/j.chaos.2022.112095 Adhira, 2023, Non-fragile extended dissipative synchronization control of delayed uncertain discrete-time neural networks, Commun Nonlinear Sci Numer Simul, 116, 10.1016/j.cnsns.2022.106820 Li, 2022, Event-triggered synchronization of multiple discrete-time Markovian jump memristor-based neural networks with mixed mode-dependent delays, IEEE Trans Circuits Syst I-Regul Pap, 69, 2095, 10.1109/TCSI.2022.3149535 Boonsatit, 2022, New adaptive finite-time cluster synchronization of neutral-type complex-valued coupled neural networks with mixed time delays, Fractal Fract, 6, 10.3390/fractalfract6090515 Alimi, 2019, Finite-time and fixed-time synchronization of a class of inertial neural networks with multiproportional delays and its application to secure communication, Neurocomputing, 332, 29, 10.1016/j.neucom.2018.11.020 Xiao, 2022, On exponential stability of delayed discrete-time complex-valued inertial neural networks, IEEE Trans Cybern, 52, 3483, 10.1109/TCYB.2020.3009761 Chen, 2020, Passivity analysis of non-autonomous discrete-time inertial neural networks with time-varying delays, Neural Process Lett, 51, 2929, 10.1007/s11063-020-10235-6 Arbi, 2022, Almost anti-periodic solution of inertial neural networks with leakage and time-varying delays on timescales, Circuits Systems Signal Process, 41, 1940, 10.1007/s00034-021-01894-4 Arbi, 2022, Stability analysis of inertial neural networks: A case of almost anti-periodic environment, Math Methods Appl Sci, 45, 10476, 10.1002/mma.8379 Arbi, 2022, Almost anti-periodic solution of inertial neural networks model on time scales, MATEC Web Conf, 355, 02006, 10.1051/matecconf/202235502006 Xiao, 2021, Quasisynchronization of discrete-time inertial neural networks with parameter mismatches and delays, IEEE Trans Cybern, 51, 2290, 10.1109/TCYB.2019.2937526 Chen, 2020, Global dissipativity of delayed discrete-time inertial neural networks, Neurocomputing, 390, 131, 10.1016/j.neucom.2020.01.073 Dai, 2021, Global dynamic analysis of periodic solution for discrete-time inertial neural networks with delays, AIMS Math, 6, 3242, 10.3934/math.2021194 Zheng, 2021, Dynamic behaviors of almost periodic solution of discrete-time inertial neural networks with delays, Chinese J Phys, 73, 512, 10.1016/j.cjph.2021.06.023 Xiao, 2019, Global exponential stability and synchronization for discrete-time inertial neural networks with time delays: a timescale approach, IEEE Trans Neural Netw Learn Syst, 30, 1854, 10.1109/TNNLS.2018.2874982 Han, 2022, Asynchronous boundary control of Markov jump neural networks with diffusion terms, IEEE Trans Cybern Liu, 2022, Boundary stabilization of stochastic delayed cohen-grossberg neural networks with diffusion terms, IEEE Trans Neural Netw Learn Syst, 33, 3227, 10.1109/TNNLS.2021.3051363 Wang, 2021, Intermittent stabilization of fuzzy competitive neural networks with reaction diffusions, IEEE Trans Fuzzy Syst, 29, 2361, 10.1109/TFUZZ.2020.2999041 Song, 2021, Finite-time dissipative synchronization for Markovian jump generalized inertial neural networks with reaction–diffusion terms, IEEE Trans Syst Man Cybern Syst, 51, 3650, 10.1109/TSMC.2019.2958419 Sun, 2021, Non-fragile dissipative state estimation for semi-Markov jump inertial neural networks with reaction–diffusion, Appl Math Comput, 411 Song, 2020, An improved result on synchronization control for memristive neural networks with inertial terms and reaction–diffusion items, ISA Trans, 99, 74, 10.1016/j.isatra.2019.10.008 Adhira, 2023, Non-fragile extended dissipative synchronization control of delayed uncertain discrete-time neural networks, Commun Nonlinear Sci Numer Simul, 116, 10.1016/j.cnsns.2022.106820 Huang, 2014, Multi-almost periodicity in semi-discretizations of a general class of neural networks, Math Comput Simulation, 101, 43, 10.1016/j.matcom.2013.05.017 Zhang, 2020, Dynamic behaviours for semi-discrete stochastic Cohen-Grossberg neural networks with time delays, J Franklin Inst B, 357, 13006, 10.1016/j.jfranklin.2020.09.006 Zhang, 2022, Global exponential stability of discrete-time almost automorphic Caputo–Fabrizio BAM fuzzy neural networks via exponential Euler technique, Knowl-Based Syst, 246, 10.1016/j.knosys.2022.108675 Zheng, 2023, Robust guaranteed cost control of networked Takagi–Sugeno fuzzy systems with local nonlinear parts and multiple quantizations, Inform Sci, 625, 489, 10.1016/j.ins.2023.01.023 Dinesh, 2023, Reduced-order min-max guaranteed cost control for finite-time boundedness of uncertain linear systems using output feedback, IEEE Control Syst Lett, 7, 637, 10.1109/LCSYS.2022.3212199 Zheng, 2022, Asynchronous nonfragile guaranteed cost control for impulsive switched fuzzy systems with quantizations and its applications, IEEE Trans Fuzzy Syst, 30, 4471, 10.1109/TFUZZ.2022.3153144 Liang, 2022, Event-triggered guarantee cost control for partially unknown stochastic systems via explorized integral reinforcement learning strategy, IEEE Trans Neural Netw Learn Syst, 10.1109/TNNLS.2022.3221105 Aghayan, 2022, Guaranteed cost-based feedback control design for fractional-order neutral systems with input-delayed and nonlinear perturbations, ISA Trans, 131, 95, 10.1016/j.isatra.2022.05.002 Zhang, 2020, Guaranteed cost control of genetic regulatory networks with multiple time-varying discrete delays and multiple constant distributed delays, IEEE Access, 8, 80175, 10.1109/ACCESS.2020.2987650 Chen, 2014, Guaranteed cost control for uncertain genetic regulatory networks with interval time-varying delays, Neurocomputing, 131, 105, 10.1016/j.neucom.2013.10.035 Chandrasekar, 2022, Further results on input-to-state stability of stochastic Cohen–Grossberg BAM neural networks with probabilistic time-varying delays, Neural Process Lett, 54, 613, 10.1007/s11063-021-10649-w Sriraman, 2020, Global asymptotic stability of stochastic complex-valued neural networks with probabilistic time-varying delays, Math Comput Simulation, 171, 103, 10.1016/j.matcom.2019.04.001 Stamov, 2021, Almost periodic dynamics in a new class of impulsive reaction–diffusion neural networks with fractional-like derivatives, Chaos Solitons Fractals, 143, 10.1016/j.chaos.2020.110647 Huang, 2021, Weighted pseudo almost periodicity of multi-proportional delayed shunting inhibitory cellular neural networks with D operator, Discrete Contin Dyn Syst-S, 14, 1259 Wan, 2020, Monostability and multistability for almost-periodic solutions of fractional-order neural networks with unsaturating piecewise linear activation functions, IEEE Trans Neural Netw Learn Syst, 31, 5138, 10.1109/TNNLS.2020.2964030 Rajan, 2020, Almost periodic dynamics of memristive inertial neural networks with mixed delays, Inform Sci, 536, 332, 10.1016/j.ins.2020.05.055 Abdelaziz, 2020, Piecewise asymptotic almost periodic solutions for impulsive fuzzy Cohen-Grossberg neural networks, Chaos Solitons Fractals, 132, 10.1016/j.chaos.2019.109575 Zheng, 2021, Dynamic behaviors of almost periodic solution of discrete-time inertial neural networks with delays, Chinese J Phys, 73, 512, 10.1016/j.cjph.2021.06.023 Zhang, 2019 Raynaud de Fitte, 2020, Almost periodicity and periodicity for nonautonomous random dynamical systems, Stoch Dyn, 21 Marie, 2020, Almost periodic and periodic solutions of differential equations driven by the fractional Brownian motion with statistical application, Stochastics, 93, 886, 10.1080/17442508.2020.1815746 Zhang, 1994, Pseudo almost periodic solutions of some differential equations, J Math Anal Appl, 181, 62, 10.1006/jmaa.1994.1005 Arbi, 2022, New results on time scales of pseudo Weyl almost periodic solution of delayed QVSICNNs, Comput Appl Math, 41, 293, 10.1007/s40314-022-02003-0 Diagana, 2006, Weighted pseudo-almost periodic functions and applications, C R L’Acad Sci-Ser I-Math, 343, 643 Es-saiydy, 2023, New composition theorem for weighted stepanov-like pseudo almost periodic functions on time scales and applications, Boletim Sociedade Paranaense De Matematica, 41 Yan, 2022, Sensitivity analysis for a fractional stochastic differential equation with S−p-weighted pseudo almost periodic coefficients and infinite delay, Fract Calc Appl Anal, 25, 2356, 10.1007/s13540-022-00098-0 M’Hamdi, 2022, On the weighted pseudo almost-periodic solutions of static DMAM neural network, Neural Process Lett, 54, 4443, 10.1007/s11063-022-10817-6 Ezzinbi, 2021, Weighted pseudo almost periodic and pseudo almost automorphic solutions of class r for some partial differential equations, Differ Equ Dyn Syst, 29, 313, 10.1007/s12591-018-00447-7 Ayachi, 2021, Existence and exponential stability of weighted pseudo-almost periodic solutions for genetic regulatory networks with time-varying delays, Int J Biomath, 14, 10.1142/S1793524521500066 Arbi, 2018, Dynamics of BAM neural networks with mixed delays and leakage time-varying delays in the weighted pseudo–almost periodic on time-space scales, Math Methods Appl Sci, 41, 1230, 10.1002/mma.4661 Hu, 2021, Delay dependent asymptotic mean square stability analysis of the stochastic exponential Euler method, J Comput Appl Math, 382, 10.1016/j.cam.2020.113068 Zhang, 2022, Exponential Euler scheme of multi-delay Caputo–Fabrizio fractional-order differential equations, Appl Math Lett, 124, 10.1016/j.aml.2021.107709 Bessaih, 2020, Synchronization of stochastic lattice equations, NoDEA Nonlinear Differential Equations Appl, 27, 36, 10.1007/s00030-020-00640-0 Han, 2020, Sigmoidal approximations of heaviside functions in neural lattice models, J Differential Equations, 268, 5283, 10.1016/j.jde.2019.11.010 Zhang, 2023, Global mean-square exponential stability and random periodicity of discrete-time stochastic inertial neural networks with discrete spatial diffusions and Dirichlet boundary condition, Comput Math Appl, 141, 116 Kuang, 2012 Corduneanu, 1989 Zhang, 2011, Weighted pseudo almost periodic solutions of second order neutral differential equations with piecewiseconstant argument, Nonlinear Anal TMA, 74, 6770, 10.1016/j.na.2011.07.002 Zhang, 2003 Arnold, 1998 Abbas, 2010, Weighted pseudo almost automorphic sequences and their applications, Electron J Differential Equations, 2010, 1 Arbi, 2022, Dynamics of delayed cellular neural networks in the stepanov pseudo almost automorphic space, Discrete Contin Dyn Syst-S, 15, 3097, 10.3934/dcdss.2022136 Es-saiydy, 2020, Weighted stepanov-like pseudo almost periodicity on time scales and applications, Differential Equations and Dynamical Systems