Journal
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Volume 57, Issue 2, Pages 963-998Publisher
SIAM PUBLICATIONS
DOI: 10.1137/15M1012712
Keywords
rapid exponential stability; n x n quasi-linear hyperbolic systems; backstepping transformation; Lyapunov functions method
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Funding
- National Natural Science Foundation of China [11601284]
- China Scholarship Council [201306100081]
- ERC [266907]
- Young Scholars Program of Shandong University [2016WLJH52]
- National Postdoctoral Program for Innovative Talents [BX201600096]
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This paper deals with the problem of boundary stabilization of first-order n x n inhomogeneous quasi-linear hyperbolic systems. A backstepping method is developed. The main result supplements the previous works on how to design multiboundary feedback controllers to achieve exponential stability with arbitrary decay rate of the original nonlinear system in the spatial H-2 sense.
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