標題: The Discrete Maximum Principle and the epsilon-Technique
作者: Tarng, M. Y.
Nardizzi, L. R.
電子工程學系及電子研究所
Department of Electronics Engineering and Institute of Electronics
公開日期: 1-Jan-1973
摘要: A complete proof of the epsilon-maximum principle for discrete-time system is given. In proving the epsilon-maximum principle, the general linearization of the system equations about the optimum trajectory is avoided. Therefore, the requirements for the system equations are different from those of earlier works. It is shown that the epsilon-maximum principle under some mild conditions does approach the general discrete maximum principle and that the epsilon-maximum principle is always in a strong form. Thus, if e is sufficiently small, the epsilon-problem can approximate the solution of the original problem and the difficulties inherent in abnormal problems can be avoided. It is also pointed out that the indeterminancy in the singular control problem can be avoided by using the epsilon-technique.
URI: http://dx.doi.org/10.1007/BF00940419
http://hdl.handle.net/11536/5698
ISSN: 0022-3239
DOI: 10.1007/BF00940419
期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume: 12
Issue: 4
起始頁: 391
結束頁: 407
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