Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays | Zendy

Lina Yu | Zendy; Jingchao Zhang | Zendy; Yunfei Ma | Zendy; Xinhua Tan | Zendy; Chunwei Wang | Zendy

Open Access

Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

Author(s) -

Lina Yu,

Jingchao Zhang,

Yunfei Ma,

Xinhua Tan,

Chunwei Wang

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6699198

Subject(s) - synchronization (alternating current) , control theory (sociology) , mathematics , class (philosophy) , state (computer science) , scheme (mathematics) , computer science , control (management) , topology (electrical circuits) , mathematical analysis , algorithm , combinatorics , artificial intelligence

This paper is concerned with the global finite-time and fixed-time synchronization for a class of discontinuous complex dynamical networks with semi-Markovian switching and mixed time-varying delays. The novel state-feedback controllers, which include integral terms and discontinuous facts, are designed to realize the global synchronization between the drive system and response system. By applying the Lyapunov functional method and matrix inequality analysis technique, the global finite-time and fixed-time synchronization conditions are addressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the feasibility of the proposed control scheme and the validity of theoretical results.

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