The Darboux point
| Autor: | P. M. Mereau, W. F. Powers |
|---|---|
| Rok vydání: | 1975 |
| Předmět: |
Discrete mathematics
Control and Optimization Applied Mathematics Management Science and Operations Research Darboux integral Mutually exclusive events Optimal control Algebra Nonlinear Sciences::Exactly Solvable and Integrable Systems Theory of computation Point (geometry) Calculus of variations Global optimality Integral of inverse functions Mathematics |
| Zdroj: | Journal of Optimization Theory and Applications. 17:545-559 |
| ISSN: | 1573-2878 0022-3239 |
| DOI: | 10.1007/bf00932789 |
| Popis: | A theory of global optimality based upon the Darboux-point concept is developed. A definition is proposed for the Darboux point, and the Darboux point is shown to exist on nonglobally optimal trajectories under relatively general conditions. A mutually exclusive classification of Darboux points is noted, and several properties are proved for one of these classes (the Type-1 Darboux point). Numerous examples are included to illustrate the Darboux-point definition and properties. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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