Projective Exponential Synchronization for a Class of Complex PDDE Networks with Multiple Time Delays
- Resource Type
- article
- Authors
- Chengdong Yang; Jianlong Qiu; Tongxing Li; Ancai Zhang; Xiangyong Chen
- Source
- Entropy, Vol 17, Iss 11, Pp 7298-7309 (2015)
- Subject
- spatiotemporal behavior
partial differential-difference equation
projective exponential synchronization
linear matrix inequality
Science
Astrophysics
QB460-466
Physics
QC1-999
- Language
- English
- ISSN
- 1099-4300
This paper addresses the problem of projective exponential synchronization for a class of complex spatiotemporal networks with multiple time delays satisfying the homogeneous Neumann boundary conditions, where the network is modeled by coupled partial differential-difference equations (PDDEs). A distributed proportional-spatial derivative (P-sD) controller is designed by employing Lyapunov’s direct method and Kronecker product. The controller ensures the projective exponential synchronization of the PDDE network. The main result of this paper is presented in terms of standard linear matrix inequality (LMI). A numerical example is provided to show the effectiveness of the proposed design method.