On Time Extension in Differential Games with Impulse Controls
| Autor: | G. Ts. Chikrii |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
021103 operations research
General Computer Science 010102 general mathematics 0211 other engineering and technologies 02 engineering and technology Impulse (physics) 01 natural sciences Pontryagin's minimum principle Control theory Differential game Time extension Development (differential geometry) 0101 mathematics Differential (mathematics) Mathematics |
| Zdroj: | Cybernetics and Systems Analysis. 53:704-711 |
| ISSN: | 1573-8337 1060-0396 |
| DOI: | 10.1007/s10559-017-9972-0 |
| Popis: | In the development of ideas of B. N. Pshenichnyi, the paper considers a linear differential game of approach with impulse controls. A research technique is proposed, which is based on time extension and oriented to the case where the classical Pontryagin condition does not hold. Sufficient conditions for the finiteness of the guaranteed approach time are obtained. An illustrative example is given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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