Related Experiment Video
Updated: Apr 25, 2026

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks
Published on: March 2, 2015
Impulsive exponential synchronization of randomly coupled neural networks with Markovian jumping and mixed
Xin Wang1, Chuandong Li1, Tingwen Huang2
1College of Computer Science, Chongqing University, Chongqing 400044, PR China.
Abstract:
In this paper, the exponential synchronization problem for an array of N randomly coupled neural networks with Markovian jump and mixed model-dependent time delays via impulsive control is investigated. The jump parameters are determined by a continuous-time, discrete-state Markovian chain, and the mixed time delays under consideration comprise both discrete and continuous distributed delays. By making use of the Kronecker product and some useful techniques, a novel Lyapunov-Krasovskii functional suitable for handling distributed delays was proposed and then we show that the addressed synchronization problem is solvable if a set of linear matrix inequalities (LMIs) are feasible. The results presented in this paper generalize and improve many known results. Two numerical examples are also given to show the effectiveness of the theoretical results.
More Related Videos
Related Concept Videos
Propagation of Action Potentials
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
Multi-input and Multi-variable systems
In the absence of...
Propagation of Uncertainty from Random Error
Exponential Equations for Modeling Growth
Linear time-invariant Systems
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
Neural Circuits
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...

