A High-Order Test for Optimality of Bang-Bang Controls.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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The determination of optimal controls is the primary problem in control theory. The most effective tool in this respect is Pontryagins Maximum Principle, which provides necessary conditions for optimality, thus restricting the search to a small set of candidates among which the optimal control is more easily found. In cases where Pontryagins test does not yield sufficient information, more refined necessary conditions are known, for example Kreners High-order Maximum Principle. The high-order test discussed in this paper states further necessary conditions for optimality and cna be particularly useful when applied to bang-bang controls, a case often encountered in the applications, where other high-order tests are generally ineffective. Author
- Theoretical Mathematics
- Test Facilities, Equipment and Methods