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Exponential and global stability of nonlinear dynamical systems relative to initial time difference |
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| Authors: | An Li Wei LvJianxiong Ye |
| Affiliation: | a School of Mathematical Sciences, Xiamen University, Xiamen 361005, China b Department of Mathematics, Shanghai University, Shanghai 200444, China c Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
| Abstract: | The exponential and global stability of nonlinear differential dynamical systems with different initial times are investigated. Several criteria for the stability of nonlinear dynamical systems relative to initial time difference are obtained by means of vector Lyapunov functions. The obtained criteria have been applied to a proposed differential dynamic system. The numerical simulation validates our conclusions. |
| Keywords: | Exponential stability Global stability Comparison principle Vector Lyapunov function |
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