Journal of Advances in Applied Mathematics

Download PDF (438.7 KB) PP. 157 - 170 Pub. Date: October 15, 2019

DOI: 10.22606/jaam.2019.44004

• Wenjing Yang^*
  College of Science, University of Shanghai for Science and Technology, Shanghai, P. R. China

In this paper, the fixed-time synchronization for drive-response coupled system(DRCS) with impulsive effects is investigated. More general controllers are designed to synchronize driveresponse coupled system(DRCS) within fixed-time. By using graph theory and Lyapunov method, strongly and non-strongly connected of topological structure of DRCS are studied deriving different criteria. What’s more, some control strategies are provided for special cases of DRCS. Furthermore, some numerical simulations are offered to demonstrate the validity of theoretical results.

Fixed-time synchronization, Drive-response coupled system, Impulsive effects, Graph theory.

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