New criteria for exponential stability of nonlinear time‐varying differential systems |
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| Authors: | Pham Huu Anh Ngoc |
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| Affiliation: | International University, Vietnam National University‐HCMC, , Thu Duc, Ho?Chi Minh City, Vietnam |
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| Abstract: | General nonlinear time‐varying differential systems are considered. An explicit criterion for exponential stability is presented. Furthermore, an explicit robust stability bound for systems subjected to nonlinear time‐varying perturbations is given. In particular, it is shown that the generalized Aizerman conjecture holds for positive linear systems. Some examples are given to illustrate obtained results.Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | nonlinear differential system time‐varying exponential stability perturbation |
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