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January  2008, 4(1): 67-79. doi: 10.3934/jimo.2008.4.67

## Nonlinear locally distributed feedback stabilization

 1 Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China 2 Information Engineering School, China Geosciences University, Beijing 100083, China

Received  August 2006 Revised  November 2007 Published  January 2008

The stabilization problem of a nonuniform Timoshenko beam with nonlinear locally distributed feedback controls is considered. By means of nonlinear semigroup theory, energy-perturbation approach and piecewise multiplier method it is shown that the energy of the closed loop system decays exponentially or in the rate of negative power of time.
Citation: Shui-Hung Hou, Qing-Xu Yan. Nonlinear locally distributed feedback stabilization. Journal of Industrial and Management Optimization, 2008, 4 (1) : 67-79. doi: 10.3934/jimo.2008.4.67
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