A direct method for open-loop dynamic games for affine control systems

Dynamic Games: Theory and Applications

Volumn , Issue , 2005, Pages 37-55

  Carlson, Dean A ^a   Leitmann, George ^b  

^a UNIVERSITY OF TOLEDO   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38849126925     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/0-387-24602-9_2     Document Type: Chapter

References (6)

1. Carathéodory, C. (1982). Calculus of Variations and Partial Differential Equations. Chelsea, New York, New York.
2. Carlson, D. A. (2002). An observation on two methods of obtaining solutions to variational problems. Journal of Optimization Theory and Applications, 114:345-362.
3. Carlson, D. A. and Leitmann, G. (2004). An extension of the coordinate transformation method for open-loop Nash equilibria. Journal of Optimization Theory and Applications, To appear.
4. Dockner, E. J. and Leitmann, G. (2001) Coordinate transformation and derivation of open-loop Nash equilibrium. Journal of Optimization Theory and Applications, 110(1):1-16.
5. Leitmann, G. (1967). A note on absolute extrema of certain integrals. International Journal of Non-Linear Mechanics, 2:55-59.
6. Leitmann, G. (2004). A direct method of optimization and its application to a class of differential games. Dynamics of Continuous, Discrete and Impulsive Systems - Series A: Mathematical Analysis, 11:191-204.