Stability and boundedness criteria of nonlinear impulsive systems employing perturbing Lyapunov functions |
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| Authors: | Xinyu SongAn Li |
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| Institution: | a Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, PR China
b School of Mathematical Sciences, Xiamen University, Xiamen 361005, PR China |
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| Abstract: | This paper develops a new comparison principle for nonlinear impulsive differential systems, then the stability, practical stability and boundedness of impulsive differential systems are proved by using the method of perturbing Lyapunov functions. The notion of perturbing Lyapunov functions enables us to discuss stability properties of impulsive systems under much weaker assumptions. The reported novel results complement the existing results. It may provide a greater prospect for solving problems which exhibit impulsive effects. |
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| Keywords: | Nonlinear impulsive system Asymptotical stability Practical stability Comparison principle Perturbing Lyapunov functions |
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