Global feedback stabilization of multi-input bilinear systems |
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| Authors: | Jinzhong Shen Yuanguo Zhu |
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| Affiliation: | Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, People’s Republic of China |
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| Abstract: | This paper mainly investigates the problem of stabilization of homogeneous bilinear systems with multiple inputs. Explicit state feedback laws are given to stabilize the bilinear systems. Meanwhile, an estimate of the convergence speed is obtained under the given feedback laws. Besides, sufficient conditions, which are easy to be verified, are presented for the stabilization of the bilinear systems. |
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| Keywords: | Bilinear systems Asymptotic stability Lyapunov function Exponential convergence Homogeneous function |
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