Complex differential games of pursuit-evasion type with state constraints, part 1: Necessary conditions for optimal open-loop strategies
作者： M. H. Breitner , H. J. Pesch , W. Grimm
DOI: 10.1007/BF00939876
关键词:
摘要: … In summary, the singular surface due to the state constraint consists of two parts. The first part is of universal (afferent) type, and the second part is of dispersal (efferent) type. Both parts …
springer.com
uni-bayreuth.de参考文章(16)
Rufus Isaacs, DIFFERENTIAL GAMES III: THE BASIC PRINCIPLES OF THE SOLUTION PROCESS ,(1954)
Austin Blaquière, Quantitative and qualitative games ,(1969)
Konstantin Caratheodory, Variationsrechnung und partielle Differentialgleichungen erster Ordnung The Mathematical Gazette. ,vol. 19, pp. 370- ,(1935) , 10.2307/3606333
Geert Jan Olsder, Tamer Başar, Dynamic Noncooperative Game Theory ,(1982)
Richard Courant, David Hilbert, Methods of Mathematical Physics ,(1947)
L. D. Berkovitz, Necessary Conditions for Optimal Strategies in a Class of Differential Games and Control Problems SIAM Journal on Control. ,vol. 5, pp. 1- 24 ,(1967) , 10.1137/0305001
Roland Bulirsch, Josef Stoer, Introduction To Numerical Analysis ,(1956)
M. H. Breitner, H. J. Pesch, W. Grimm, Complex differential games of pursuit-evasion type with state constraints, part 2: Numerical computation of optimal open-loop strategies Journal of Optimization Theory and Applications. ,vol. 78, pp. 443- 463 ,(1993) , 10.1007/BF00939877
Hamel, Constantin Caratheodory, Prof. an der Universität München, Variationsrechnung und partielle Differentialgleichungen erster Ordnung. XI + 407 S. m. 31 Fig. im Text. Leipzig und Berlin 1935, B. G. Teubner Verlag. Preis 22 M ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik. ,vol. 15, pp. 386- 386 ,(1935) , 10.1002/ZAMM.19350150619
Rufus Isaacs, DIFFERENTIAL GAMES II: THE DEFINITION AND FORMULATION ,(1954)