Stabilization of Semi-Markovian Jumping Uncertain Complex-Valued Networks with Time-Varying Delay: A Sliding-Mode Control Approach

This paper pays close attention to the stabilization issue for delayed uncertain semi-Markovian jumping complex-valued networks via sliding mode control. The concerned corresponding transition rates depend on a positive constant, i.e., sojourn-time, which is not required to obey the general exponent...

Full description

Saved in:
Bibliographic Details
Published in:Neural processing letters 2024-03, Vol.56 (2), p.111, Article 111
Main Authors: Li, Qiang, Wei, Hanqing, Hua, Dingli, Wang, Jinling, Yang, Junxian
Format: Article
Language:English
Subjects:
Artificial Intelligence
Closed loops
Complex Systems
Computational Intelligence
Computer Science
Control systems design
Controllers
Design
Distribution functions
Dynamic stability
Dynamical systems
Failure
Feedback control
Markov analysis
Network topologies
Neural networks
Probability distribution functions
Random variables
Sliding mode control
Time varying control
Velocity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper pays close attention to the stabilization issue for delayed uncertain semi-Markovian jumping complex-valued networks via sliding mode control. The concerned corresponding transition rates depend on a positive constant, i.e., sojourn-time, which is not required to obey the general exponential distribution. Combine the generalized Dynkin’s formula with Lyapunov stability theory as well as the characteristics of cumulative distribution functions, a few sufficient criteria are proposed to ascertain the stochastic stability of the obtained sliding mode dynamical system. In addition, design a novel sliding mode controller to ensure all state trajectories of the potential closed-loop system can reach the synthesized sliding mode switching surface in a finite time and maintain there in the subsequent time. In the end of paper, one simple example is presented to verify superiority and feasibility of the provided controller design scheme.
ISSN:1573-773X
1370-4621
1573-773X
DOI:10.1007/s11063-024-11585-1