Exponential stability of delayed recurrent neural networks with Markovian jumping parameters

By Zidong Wang, Yurong Liu, Li Yu, Xiaohui Liu. 2006

370 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Computer Networks and Communications, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/e20bd4da30b1cff6faf87bb4d8dc229a2f04049a

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In Artificial Intelligence

In Computer Networks and Communications

In Electrical and Electronic Engineering

Citations in the corpus

Exponential synchronization of complex networks with Markovian jump and mixed delays (2008, background): “For example, in [4, 30, 36], it has been revealed that a neural network sometimes has finite modes that switch from one to another at different times, and such a switching (or jumping) can be governed by a Markovian chain.”
Stability and Synchronization of Discrete-Time Markovian Jumping Neural Networks With Mixed Mode-Dependent Time Delays (2009, background): “For example, in [40], the exponential stability problem has been first addressed for a class of delayed recurrent neural networks with Markovian jumping parameters.”
New Delay-Dependent Exponential $H_{\infty}$ Synchronization for Uncertain Neural Networks With Mixed Time Delays (2010, background): “Therefore, the stability problems of NNs with mixed time delays have gained great research interest [29]–[ 35 ].”
Stochastic Synchronization of Markovian Jump Neural Networks With Time-Varying Delay Using Sampled Data (2013, background): “For example, the first attempt to investigate the stability of neural networks with Markovian jump parameters and time delay has been made in [24], where some LMI-based stability criteria have been proposed for testing whether the network dynamics is stochastically exponentially stable in the mean s”
Passivity Analysis for Discrete-Time Stochastic Markovian Jump Neural Networks With Mixed Time Delays (2011, result): “For example, the first attempt to investigate the exponential stability of neural networks with Markovian jump parameters and time delay can be found in [ 17 ], where some LMI-based stability criteria have been proposed for testing whether the network dynamics is stochastically exponentially stable ”
H∞ filtering for Markovian jump systems with time-varying delays (2010, background): “A great number of results on estimation and control problems related to such systems have been reported in the literature [7, 8, 9, 10, 11].”
Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems With Incomplete Transition Descriptions (2010, neutral): “[8] D.”