1. Stability and stabilization of a delayed PIDE system via SPID control.
- Author
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Yang, Chengdong, Zhang, Ancai, Chen, Xiao, Chen, Xiangyong, and Qiu, Jianlong
- Subjects
MATHEMATICAL models ,NUMERICAL analysis ,COMPUTER simulation ,AUTOMATIC control systems ,MATHEMATICAL analysis ,STABILITY theory ,SYSTEMS theory ,LYAPUNOV functions - Abstract
This paper addresses the problem of exponential stability and stabilization for a class of delayed distributed parameter systems, which is modeled by partial integro-differential equations (PIDEs). By employing the vector-valued Wirtinger's inequality, the sufficient condition of exponential stability of the PIDE system with a given decay rate is investigated. The condition is presented by linear matrix inequality (LMIs). After that, we develop a spatial proportional-integral-derivative state-feedback controller that ensures the exponential stabilization of the PIDE system in terms of LMIs. Finally, numerical examples are presented to verify the effectiveness of the proposed theoretical results. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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