Published in

Hindawi, Complexity, (2019), p. 1-15, 2019

DOI: 10.1155/2019/7875305

Links

Tools

Export citation

Search in Google Scholar

New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control

Journal article published in 2019 by Tao Wu ORCID, Jinde Cao ORCID, Lianglin Xiong ORCID, Haiyang Zhang ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

Full text: Download

Orange circle
Preprint: archiving restricted
Orange circle
Postprint: archiving restricted
Green circle
Published version: archiving allowed
Data provided by SHERPA/RoMEO

Abstract

This paper investigates the problem of stabilization for semi-Markov chaotic systems with fuzzy sampled-data controllers, in which the semi-Markov jump has generally uncertain transition rates. The exponential stability condition is firstly obtained by the following two main techniques: To make full use of the information about the actual sampling pattern, a novel augmented input-delay-dependent Lyapunov–Krasovskii functional (LKF) is firstly introduced. Meanwhile, a new zero-value equation is established to increase the combinations of component vectors of the resulting vector. The corresponding fuzzy sampled-data controllers are designed based on the stability condition. Finally, the validity and merits of the developed theories are shown by two numerical examples.