Related Experiment Video
Updated: Sep 17, 2025

3D Modeling of Dendritic Spines with Synaptic Plasticity
Published on: May 18, 2020
Asynchronous Boundary Stabilization of Stochastic Markovian Reaction-Diffusion Neural Networks With Mode-Dependent
Abstract:
This article tackles asynchronous control issue for a class of stochastic Markovian reaction-diffusion neural networks with mode-dependent delays (MDDs). Taking into account the spatio-temporal distribution of such networks, we propose a boundary control (BC) scheme combined with asynchronous control to reduce control implementation cost and overcome environmental constraint. By incorporating a hidden Markov model to manage the mode asynchrony, we develop an integral asynchronous boundary controller for Neumann boundary conditions, as well as an innovative one for Dirichlet boundary conditions. We then derive an exponential stability criterion specific to MDDs and introduce a novel asynchronous BC synthesis approach. Additionally, we extend our findings to the leader-follower synchronization of these neural networks. The validity, superiority, and practicality of the proposed control design approach are demonstrated via three numerical examples, respectively.
More Related Videos
Related Concept Videos
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
Multimachine Stability
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
Transient and Steady-state Response
These test signals are integral in designing control systems to exhibit two key performance aspects: transient response and steady-state...
Entropy Change in Reversible Processes
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
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...

