Necessary conditions of the calculus of variations for a problem of bolza-mayer type
β Scribed by V.A Kosmodem'ianskii
- Publisher
- Elsevier Science
- Year
- 1965
- Tongue
- English
- Weight
- 390 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0021-8928
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π SIMILAR VOLUMES
This paper has two main ideas. The first idea is that constrained problems in optimal control theory and the calculus of variations can be associated with unconstrained calculus of variations problems by using multipliers. This allows us to obtain a true Lagrange multiplier rule where both the origi
I n this study we reformulate GODEL'S completeness theorem such that any firstorder calculus can be tested for completeness. The theorem in this form gives simple sufficient and necessary algebraic conditions for the calculus to be complete.
The book by Bolza, in fact, became so popular that the fixed-endpoint problem we stated became known as the article no. 0162
## Communicated by G. F. Roach A numerical technique for determining the solution of the brachistochrone problem is presented. The brachistochrone problem is first formulated as a non-linear optimal control problem. Using Chebyshev nodes, we construct the Mth degree polynomial interpolation to ap