Qi Hong Fu, Gen Qi Xu, "Exponential Stabilization of 1-dWave Equation with Distributed Disturbance," WSEAS Transactions on Mathematics, vol. 14, pp. 192-201, 2015, DOI:
Qi Hong Fu, Gen Qi Xu. Exponential Stabilization of 1-dWave Equation with Distributed Disturbance.
WSEAS Transactions on Mathematics. 2015;14:192-201.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 14, 2015
Exponential Stabilization of 1-dWave Equation with Distributed Disturbance
Authors: ,
Abstract: In this paper, we consider the stabilization problem of a one-dimensional wave equation with unknown disturbance. In order to stabilize the system with disturbance, we design a distributed feedback controller by employing the idea of sliding mode control technology. For the resulted nonlinear closed-loop system, we prove its solvability by using the maximal monotone operator. Further we prove the exponentially stable of the closed-loop system.
Keywords:
1-d wave equation, distributed control, distributed disturbance, exponential stabilization
Pages: 192-201 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 14, 2015, Art. #18 DOI: *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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