Stability analysis of impulsive control systems |
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| Authors: | Xinzhi LiuYanqun Liu Kok Lay Teo |
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| Affiliation: | Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1;Department of Applied Mathematics, The Hong Kong Polytechnic University Hung Hom, Kowloon, Hong Kong |
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| Abstract: | This paper studies impulsive control systems. Several stability criteria are established by employing the method of Lyapunov functions. These criteria may be used for impulsive feedback control design. As an application, impulsive control of the Lorenz chaotic system is discussed. Numerical experiments are carried out for the control of the Lorenz system. It is shown that small and frequent impulses need to be used in order to stabilize the Lorenz system. |
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| Keywords: | Impulsive feedback control Stability Lyapunov function Lorenz system Impulsive stabilization |
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