The existence and uniqueness of the solutions of the nonlinear on–off switched systems with switching at variable times
In this paper, by introducing the definition of the solution, we prove the existence and uniqueness of the solution for nonlinear on–off switched systems with switching at variable times (NVTSS). Based on this result, the continuous dependence and differentiability of the solution of NVTSS (4) with...
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| Veröffentlicht in: | Nonlinear dynamics 2021-02, Vol.103 (3), p.2287-2298 |
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| container_title | Nonlinear dynamics |
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| creator | Li, Huanting Peng, Yunfei Wu, Kuilin |
| description | In this paper, by introducing the definition of the solution, we prove the existence and uniqueness of the solution for nonlinear on–off switched systems with switching at variable times (NVTSS). Based on this result, the continuous dependence and differentiability of the solution of NVTSS (4) with respect to the initial state are presented. Besides, the switching phenomenon (the integral curve of NVTSS (4) may hit some surface finite or infinite times causing a rhythmical beating) and periodic solution of NVTSS (4) are also discussed. |
| doi_str_mv | 10.1007/s11071-021-06214-8 |
| format | Article |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Automotive Engineering Classical Mechanics Control Dynamical Systems Engineering Mechanical Engineering Original Paper Switching Uniqueness Vibration |
| title | The existence and uniqueness of the solutions of the nonlinear on–off switched systems with switching at variable times |
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