학술논문

Stabilisation of distributed-order nonlinear systems via event-triggered control.
Document Type
Article
Source
International Journal of Systems Science. Apr2023, Vol. 54 Issue 6, p1186-1195. 10p.
Subject
*NONLINEAR systems
*LINEAR matrix inequalities
*MARKOVIAN jump linear systems
*LYAPUNOV stability
*STABILITY theory
*MATRIX inequalities
*FUZZY neural networks
*HOPFIELD networks
Language
ISSN
0020-7721
Abstract
This paper investigates the stability for a class of distributed-order nonlinear systems via event-triggered control method. First of all, an inequality of the solution is established for distributed-order nonlinear inequality systems by employing Laplace transform. And then, by designing an appropriate state feedback controller and event-triggered strategy, and using Lyapunov stability theory and matrix inequality technique, a sufficient condition to ensure the asymptotic stability of the considered distributed-order nonlinear systems is obtained in the form of linear matrix inequality. Moreover, a criterion to exclude Zeno behaviour in event-triggered strategy is provided. Finally, the feasibility and effectiveness of the proposed method are verified by a simulation example. [ABSTRACT FROM AUTHOR]