Shunting inhibitory cellular neural networks: derivation and stability analysis

DOI10.1109/81.222804zbMath0825.93681OpenAlexW2152072489MaRDI QIDQ4273294

Abdesselam Bouzerdoum, Robert B. Pinter

Publication date: 2 January 1994

Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/81.222804

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of control systems (93D99)

Related Items (60)

New convergence behavior of solutions to shunting inhibitory cellular neural networks with unbounded delays and time-varying coefficients ⋮ Impulsive SICNNs with chaotic postsynaptic currents ⋮ Global exponential stability for shunting inhibitory CNNs with delays ⋮ Chaotifying delayed recurrent neural networks via impulsive effects ⋮ Periodic solution for state-dependent impulsive shunting inhibitory CNNs with time-varying delays ⋮ Global exponential stability of almost periodic solutions for SICNNs with continuously distributed leakage delays ⋮ Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activation functions ⋮ Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz and bounded activation functions ⋮ Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays ⋮ Pseudo almost-periodic solution of shunting inhibitory cellular neural networks with delay ⋮ New results on time scales of pseudo Weyl almost periodic solution of delayed QVSICNNs ⋮ Finite-time and fixed-time synchronization analysis of shunting inhibitory memristive neural networks with time-varying delays ⋮ Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay ⋮ \(L_p\) synchronization of shunting inhibitory cellular neural networks with multiple proportional delays ⋮ Weyl almost automorphic solutions for a class of Clifford‐valued dynamic equations with delays on time scales ⋮ A shunting inhibitory cellular neural network with continuously distributed delays of neutral type ⋮ Anti-periodic solutions for state-dependent impulsive recurrent neural networks with time-varying and continuously distributed delays ⋮ Stability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delays ⋮ Finite-time Stability on a Class of Non-autonomous SICNNs with Multi-proportional Delays ⋮ Shunting inhibitory cellular neural networks with strongly unpredictable oscillations ⋮ Existence of almost periodic solutions for SICNNs with time-varying delays ⋮ Almost periodic solutions of shunting inhibitory cellular neural networks on time scales ⋮ Convergence of neutral type SICNNs involving proportional delays and \(D\) operators ⋮ On almost automorphic solutions for cellular neural networks with time-varying delays in leakage terms on time scales1 ⋮ Global exponential stability of pseudo almost periodic solutions for SICNNs with time-varying leakage delays ⋮ Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays ⋮ EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES ⋮ Almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays ⋮ Exponential convergence behavior of solutions to shunting inhibitory cellular neural networks with delays and time-varying coefficients ⋮ Global stability of almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients ⋮ Existence and exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays ⋮ Almost periodic solutions for SICNNs with time-varying delays in the leakage terms ⋮ Global exponential stability of periodic solution for shunting inhibitory CNNs with delays ⋮ Existence and global exponential stability of almost periodic solutions for SICNNs with nonlinear behaved functions and mixed delays ⋮ Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays ⋮ Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activaty functions ⋮ Exponential convergence behavior of shunting inhibitory cellular neural networks with time-varying coefficients ⋮ Anti-periodic solutions to impulsive shunting inhibitory cellular neural networks with distributed delays on time scales ⋮ The network behind spatio-temporal patterns: building low-complexity retinal models in CNN based on morphology, pharmacology and physiology ⋮ Weighted pseudo-almost periodic solutions for shunting inhibitory cellular neural networks on time scales ⋮ Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays ⋮ Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying and continuously distributed delays ⋮ Shunting inhibitory cellular neural networks with chaotic external inputs ⋮ Existence and global exponential stability of pseudo almost periodic solution for SICNNs with mixed delays ⋮ New convergence behavior of shunting inhibitory cellular neural networks with time-varying coefficients ⋮ Periodic solutions for stochastic shunting inhibitory cellular neural networks with distributed delays ⋮ On almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients and time-varying delays ⋮ Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses ⋮ Mean almost periodicity and moment exponential stability of discrete-time stochastic shunting inhibitory cellular neural networks with time delays ⋮ Weighted pseudo almost periodicity of multi-proportional delayed shunting inhibitory cellular neural networks with D operator ⋮ Stationary oscillation for chaotic shunting inhibitory cellular neural networks with impulses ⋮ Almost periodic solutions for shunting inhibitory cellular neural networks ⋮ Existence of periodic solutions for shunting inhibitory cellular neural networks with neutral delays ⋮ Anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays ⋮ Stability of shunting inhibitory cellular neural networks with unbounded time-varying delays ⋮ Almost periodic solutions of recurrent neural networks with continuously distributed delays ⋮ Almost periodic solution of shunting inhibitory CNNs with delays ⋮ New proof on exponential convergence for cellular neural networks with time-varying delays ⋮ On anti-periodic solutions of a shunting inhibitory cellular neural networks with distributed delays ⋮ Almost periodic solutions for quaternion-valued shunting inhibitory cellular neural networks of neutral type with time delays in the leakage term

This page was built for publication: Shunting inhibitory cellular neural networks: derivation and stability analysis