AIMC Topic: Stochastic Processes

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Mean square exponential stabilization analysis of stochastic neural networks with saturated impulsive input.

Neural networks : the official journal of the International Neural Network Society Nov 10, 2023
The exponential stabilization of stochastic neural networks in mean square sense with saturated impulsive input is investigated in this paper. Firstly, the saturated term is handled by polyhedral representation method. When the impulsive sequence is ...
Neural Networks, Computer Algorithms Time Factors Stochastic Processes Physical Phenomena
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A novel framework of prescribed time/fixed time/finite time stochastic synchronization control of neural networks and its application in image encryption.

Neural networks : the official journal of the International Neural Network Society Jun 30, 2023
In this paper, we investigate a novel framework for achieving prescribed-time (PAT), fixed-time (FXT) and finite-time (FNT) stochastic synchronization control of semi-Markov switching quaternion-valued neural networks (SMS-QVNNs), where the setting t...
Neural Networks, Computer Algorithms Time Factors Stochastic Processes
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Reachable set estimation and stochastic sampled-data exponential synchronization of Markovian jump neural networks with time-varying delays.

Neural networks : the official journal of the International Neural Network Society May 27, 2023
In this paper, the stochastic sampled-data exponential synchronization problem for Markovian jump neural networks (MJNNs) with time-varying delays and the reachable set estimation (RSE) problem for MJNNs subjected to external disturbances are investi...
Neural Networks, Computer Computer Simulation Time Factors Markov Chains Stochastic Processes
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Constrained disorder principle-based variability is fundamental for biological processes: Beyond biological relativity and physiological regulatory networks.

Progress in biophysics and molecular biology Apr 15, 2023
The constrained disorder principle (CDP) defines systems based on their degree of disorder bounded by dynamic boundaries. The principle explains stochasticity in living and non-living systems. Denis Noble described the importance of stochasticity in ...
Artificial Intelligence Algorithms Models, Biological Stochastic Processes Biological Phenomena
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Robust exponential stability of discrete-time uncertain impulsive stochastic neural networks with delayed impulses.

Neural networks : the official journal of the International Neural Network Society Jan 21, 2023
This paper is devoted to the study of the robust exponential stability (RES) of discrete-time uncertain impulsive stochastic neural networks (DTUISNNs) with delayed impulses. Using Lyapunov function methods and Razumikhin techniques, a number of suff...
Neural Networks, Computer Time Factors Stochastic Processes Uncertainty
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Stochastic Stability of Markovian Neural Networks With Generally Hybrid Transition Rates.

IEEE transactions on neural networks and learning systems Nov 30, 2022
This article studies the problem of the stability for Markovian neural networks (MNNs) with time delay. The transition rate is considered to be generally hybrid, which treats those existing ones as its special cases. The introduced generally hybrid t...
Neural Networks, Computer Algorithms Time Factors Markov Chains Stochastic Processes
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Sampled-Data Synchronization of Stochastic Markovian Jump Neural Networks With Time-Varying Delay.

IEEE transactions on neural networks and learning systems Aug 3, 2022
In this article, sampled-data synchronization problem for stochastic Markovian jump neural networks (SMJNNs) with time-varying delay under aperiodic sampled-data control is considered. By constructing mode-dependent one-sided loop-based Lyapunov func...
Neural Networks, Computer Algorithms Computer Simulation Markov Chains Stochastic Processes
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Delay-Dependent Stability Analysis for Switched Stochastic Networks With Proportional Delay.

IEEE transactions on cybernetics Jul 4, 2022
In this article, the issue of exponential stability (ES) is investigated for a class of switched stochastic neural networks (SSNNs) with proportional delay (PD). The key feature of PD is an unbounded time-varying delay. By considering the comparison ...
Neural Networks, Computer Algorithms Computer Simulation Stochastic Processes
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General Decay Stability for Nonautonomous Neutral Stochastic Systems With Time-Varying Delays and Markovian Switching.

IEEE transactions on cybernetics Jun 16, 2022
A new type of asymptotic stability for nonlinear hybrid neutral stochastic systems with constant delays was investigated recently, where the criteria depended on the delays' sizes. Unfortunately, developed theory so far is not sufficient to deal with...
Neural Networks, Computer Algorithms Computer Simulation Markov Chains Stochastic Processes
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Stochastic Stability Analysis for Stochastic Coupled Oscillator Networks with Bidirectional Cross-Dispersal.

Computational intelligence and neuroscience Jun 8, 2022
It is well known that stochastic coupled oscillator network (SCON) has been widely applied; however, there are few studies on SCON with bidirectional cross-dispersal (SCONBC). This paper intends to study stochastic stability for SCONBC. A new and sui...
Neural Networks, Computer Computer Simulation Time Factors Stochastic Processes
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