A Filippov-type lemma for functions involving delays and its application to time-delayed optimal control problems |
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| Authors: | S. Nababan |
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| Affiliation: | (1) Department of Mathematics, Bandung Institute of Technology, Bandung, Indonesia |
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| Abstract: | A Filippov-type lemma for functions involving delays is derived. This lemma is used to prove the existence of an optimal control for a class of nonlinear control processes with delays appearing in both state and control variables.The author wishes to express his gratitude to Dr. E. Noussair and Dr. K. L. Teo for their guidance in the preparation of this paper. Also, the author wishes to thank Professor L. Cesari for his valuable suggestion. |
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| Keywords: | Delay-differential equations cost-optimal problems time-optimal problems existence of optimal controls nonlinear control processes |
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