Periodicity and stability analysis of impulsive neural network models with generalized piecewise constant delays

DOI10.3934/dcdsb.2021060zbMath1481.93113OpenAlexW3132063769MaRDI QIDQ2069727

Kuo-Shou Chiu

Publication date: 21 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2021060

zbMATH Keywords

periodic solutionsasymptotic stabilityglobal exponential stabilityimpulsive neural networksGronwall integral inequalitypiecewise constant delay of generalized type

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Delay control/observation systems (93C43) Exponential stability (93D23) Networked control (93B70) Impulsive control/observation systems (93C27)

Related Items (2)

Global exponential stability of bidirectional associative memory neural networks model with piecewise alternately advanced and retarded argument ⋮ Existence and global exponential stability of periodic solution for Cohen-Grossberg neural networks model with piecewise constant argument

Cites Work

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• Global asymptotic dynamics of a class of nonlinearly coupled neural networks with delays
• New approaches on stability criteria for neural networks with interval time-varying delays
• Improved delay-dependent stability results of recurrent neural networks
• Finite-time synchronization of competitive neural networks with mixed delays
• Asymptotic equivalence of nonlinear and quasi linear differential equations with piecewise constant arguments
• Advanced differential equations with piecewise constant argument deviations
• Global exponential stability of cellular neural networks with variable delays
• Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays
• New results on global exponential stability of recurrent neural networks with time-varying delays
• Impulsive Hopfield-type neural network system with piecewise constant argument
• New stability criteria of neural networks with interval time-varying delay: a piecewise delay method
• Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays.
• Asymptotic equivalence of alternately advanced and delayed differential systems with piecewise constant generalized arguments
• Stability analysis of neural networks with periodic coefficients and piecewise constant arguments
• Exponential stability of continuous-time and discrete-time cellular neural networks with delays
• Stability of artificial neural networks with impulses
• Variation of parameters formula and Gronwall inequality for differential equations with a general piecewise constant argument
• The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks
• Existence and global exponential stability of equilibrium for impulsive cellular neural network models with piecewise alternately advanced and retarded argument
• Global exponential periodicity and stability of neural network models with generalized piecewise constant delay
• Existence and global convergence of periodic solutions in recurrent neural network models with a general piecewise alternately advanced and retarded argument
• Generalized Lyapunov-Razumikhin method for retarded differential inclusions: applications to discontinuous neural networks
• Exponential stability and periodic solutions of impulsive neural network models with piecewise constant argument
• Average criteria for periodic neural networks with delay
• Exponential stability in non-autonomous delayed equations with applications to neural networks
• Global exponential periodicity and stability of cellular neural networks with variable and distributed delays
• Asymptotical stability criterion on neural networks with multiple time-varying delays
• Global exponential stability of high order Hopfield type neural networks
• Structure of a class of traveling waves in delayed cellular neural networks
• Periodic solutions of differential equations with a general piecewise constant argument and applications
• Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems
• Global asymptotic stability of neural networks with transmission delays
• Cellular neural networks: theory
• Green's function for impulsive periodic solutions in alternately advanced and delayed differential systems and applications
• Oscillatory and periodic solutions of differential equations with piecewise constant generalized mixed arguments
• Stability of oscillatory solutions of differential equations with general piecewise constant arguments of mixed type

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