Robust Exponential Synchronization for a Class of Master-Slave Distributed Parameter Systems with Spatially Variable Coefficients and Nonlinear Perturbation
Joint Authors
Yang, Chengdong
Yi, Kejia
Chen, Xiangyong
Chen, Xiao
Yang, Liuqing
Zhang, Ancai
Qiu, Jianlong
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-15
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper addresses the exponential synchronization problem of a class of master-slave distributed parameter systems (DPSs) with spatially variable coefficients and spatiotemporally variable nonlinear perturbation, modeled by a couple of semilinear parabolic partial differential equations (PDEs).
With a locally Lipschitz constraint, the perturbation is a continuous function of time, space, and system state.
Firstly, a sufficient condition for the robust exponential synchronization of the unforced semilinear master-slave PDE systems is investigated for all admissible nonlinear perturbations.
Secondly, a robust distributed proportional-spatial derivative (P-sD) state feedback controller is desired such that the closed-loop master-slave PDE systems achieve exponential synchronization.
Using Lyapunov’s direct method and the technique of integration by parts, the main results of this paper are presented in terms of spatial differential linear matrix inequalities (SDLMIs).
Finally, two numerical examples are provided to show the effectiveness of the proposed methods applied to the robust exponential synchronization problem of master-slave PDE systems with nonlinear perturbation.
American Psychological Association (APA)
Yang, Chengdong& Qiu, Jianlong& Yi, Kejia& Chen, Xiangyong& Zhang, Ancai& Chen, Xiao…[et al.]. 2015. Robust Exponential Synchronization for a Class of Master-Slave Distributed Parameter Systems with Spatially Variable Coefficients and Nonlinear Perturbation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1073666
Modern Language Association (MLA)
Yang, Chengdong…[et al.]. Robust Exponential Synchronization for a Class of Master-Slave Distributed Parameter Systems with Spatially Variable Coefficients and Nonlinear Perturbation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1073666
American Medical Association (AMA)
Yang, Chengdong& Qiu, Jianlong& Yi, Kejia& Chen, Xiangyong& Zhang, Ancai& Chen, Xiao…[et al.]. Robust Exponential Synchronization for a Class of Master-Slave Distributed Parameter Systems with Spatially Variable Coefficients and Nonlinear Perturbation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1073666
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073666