Delay-dependent exponential stability for nonlinear reaction-diffusion uncertain Cohen-Grossberg neural networks with partially known transition rates via Hardy-Poincaré inequality
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Publication:741479
DOI10.1007/s11401-014-0839-7zbMath1304.35758OpenAlexW2065251826MaRDI QIDQ741479
Publication date: 12 September 2014
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-014-0839-7
linear matrix inequalityItô formulaLyapunov-Krasovskii functionalHardy-Poincaré inequality\(p\)-Laplace diffusiondelayed impulsive Markovian jumping neural networksstochastic global exponential stability
Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs with randomness, stochastic partial differential equations (35R60) Impulsive partial differential equations (35R12)
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Cites Work
- Unnamed Item
- Unnamed Item
- Stochastic stability criteria with LMI conditions for Markovian jumping impulsive BAM neural networks with mode-dependent time-varying delays and nonlinear reaction-diffusion
- Stability analysis for uncertain neutral systems with discrete and distributed delays
- Asymptotic stability of impulsive reaction-diffusion cellular neural networks with time-varying delays
- Delay-dependent stochastic stability criteria for Markovian jumping neural networks with mode-dependent time-varying delays and partially known transition rates
- Blow-up and global solutions for nonlinear reaction-diffusion equations with nonlinear boundary condition
- Exponential stability for a class of stochastic reaction-diffusion Hopfield neural networks with delays
- An analytic algorithm for time fractional nonlinear reaction-diffusion equation based on a new iterative method
- Delay-dependent robust exponential stability of Markovian jumping reaction-diffusion Cohen-Grossberg neural networks with mixed delays
- Novel global robust exponential stability criterion for uncertain BAM neural networks with time-varying delays
- Global exponential stability of non-autonomous FCNNs with Dirichlet boundary conditions and reaction-diffusion terms
- Global exponential synchronization in delayed reaction-diffusion cellular neural networks with the Dirichlet boundary conditions
- Stochastically asymptotic stability of delayed recurrent neural networks with both Markovian jump parameters and nonlinear disturbances
- The comparison between the DRBEM and DQM solution of nonlinear reaction-diffusion equation
- Delay-dependent exponential stability for impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms
- Delay-dependent robust stability analysis for Markovian jumping stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays
- Dynamic analysis of stochastic reaction-diffusion Cohen-Grossberg neural networks with delays
- Dynamic analysis of Markovian jumping impulsive stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays
- Stochastic stability of neural networks with both Markovian jump parameters and continuously distributed delays
- Robust control of a class of uncertain nonlinear systems
- Delay-dependent exponential stability for Markovian jumping stochastic Cohen-Grossberg neural networks with \(p\)-Laplace diffusion and partially known transition rates via a differential inequality
- On the role of diffusion behaviors in stability criterion for \(p\)-Laplace dynamical equations with infinite delay and partial fuzzy parameters under Dirichlet boundary value
- Global exponential stability in Hopfield and bidirectional associative memory neural networks with time delays
- Existence and stability of fixed points for a discretised nonlinear reaction-diffusion equation with delay
- Novel stability criteria for impulsive delayed reaction-diffusion Cohen-Grossberg neural networks via Hardy-Poincaré inequality
- LMI approach to stability analysis of Cohen-Grossberg neural networks with \(p\)-Laplace diffusion
- LMI-based stability criterion of impulsive T-S fuzzy dynamic equations via fixed point theory
- Stability analysis for impulsive stochastic fuzzy \(p\)-Laplace dynamic equations under Neumann or Dirichlet boundary condition
- Exponential robust stability of T-S fuzzy stochastic \(p\)-Laplace PDEs under zero-boundary condition
- Boundedness and global exponential stability for generalized Cohen--Grossberg neural networks with variable delay
- LMI approach to exponential stability and almost sure exponential stability for stochastic fuzzy Markovian-jumping Cohen-Grossberg neural networks with nonlinear \(p\)-Laplace diffusion
- Stability analysis of Cohen--Grossberg neural network with both time-varying and continuously distributed delays
- Invariant regions and global existence of solutions for reaction-diffusion systems with a tridiagonal matrix of diffusion coefficients and nonhomogeneous boundary conditions
- ATTRACTORS FOR PARAMETRIC DELAY DIFFERENTIAL EQUATIONS AND THEIR CONTINUOUS BEHAVIOR
- Absolute stability of global pattern formation and parallel memory storage by competitive neural networks