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Stability and stabilization of a delayed PIDE system via SPID control.
- Source :
-
Neural Computing & Applications . Dec2017, Vol. 28 Issue 12, p4139-4145. 7p. - Publication Year :
- 2017
-
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]
Details
- Language :
- English
- ISSN :
- 09410643
- Volume :
- 28
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Neural Computing & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 125580503
- Full Text :
- https://doi.org/10.1007/s00521-016-2297-5