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Stability and boundedness of nonlinear impulsive systems in terms of two measures via perturbing Lyapunov functions |
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| Authors: | An Li |
| Affiliation: | a School of Mathematical Sciences, Xiamen University, Xiamen 361005, China b Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, China c Research Institute of Forest Resource Information Techniques, Chinese Academy of Forestry, Beijing 100091, China |
| Abstract: | This paper develops the concepts of stability, practical stability and boundedness in terms of two measures for nonlinear impulsive differential systems using the method of perturbing Lyapunov functions. The notion of perturbing Lyapunov functions enables us to discuss stability properties of solutions of nonlinear impulsive differential systems in terms of two measures under much weaker assumptions. The novel results offer a way to unify a variety of stability results found in the relative literature. |
| Keywords: | Nonlinear impulsive systems Stability Practical stability Two measures Perturbing Lyapunov functions |
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