Two schemes of iterative solution of optimal control problems with fast and slow motions are considered here. The first is connected with the iterative solution of corresponding necessary optimality conditions and is adjoined to the iterative method of Ju.P. Boglaev for solution of singularly pertur
Technical stability of a system with fast and slow motions
โ Scribed by A. A. Martynyuk; A. Karimzhanov
- Publisher
- Springer US
- Year
- 1981
- Tongue
- English
- Weight
- 501 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1573-8582
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Sufficient conditions under which the solutions of the Cauchy problem for singularly-perturbed Hamilton-Jacobi equations will converge to a limit are established. The results are used to investigate the asymptotic behaviour of the value function of a differential game involving fast and slow motions