Yan Ni Guo, Ling Ling Zhang, Ya Xuan Zhang, "Non-Collocated Feedback Stabilization of a Kind of System Described by Wave Equations," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Yan Ni Guo, Ling Ling Zhang, Ya Xuan Zhang. Non-Collocated Feedback Stabilization of a Kind of System Described by Wave Equations.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Non-Collocated Feedback Stabilization of a Kind of System Described by Wave Equations
Authors: , ,
Abstract: In this paper, we study the stabilization problem of a three-edge network system described by variable coefficients wave equations. With the root node fixed and a tip mass attached on the common vertex, we design two non-collocated controllers. Then we show that the closed-loop system is well-posed and satisfies spectrum- determined growth condition while the feedback gain constants fulfill some requirements. Moreover, we prove that the system is exponentially stable by applying Riesz basis method and utilizing some tricks of inequalities.
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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