The group-theoretical approach bused on joint use of the Lie-Ovsyannikor injinitesimul upparatus (l-3) und the Noether theory ofinvariant variation problems ( 4) is suggestedfbr the problem of synthesis of optimum control. Up to now the ideas qf the Noether theory were used on the theory of optimum
โฆ LIBER โฆ
Reflections on Bellman's optimality principle
โ Scribed by E.A. Galperin
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 113 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
โฆ Synopsis
The principle of optimality [1, p. 83] is shown to imply the total optimality.A justification of dynamic programming is proposed for not totally optimal systems which satisfy the contiguity condition. An example is presented to demonstrate the existence of optimal dynamical systems that do not satisfy the contiguity condition.
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