Abstract
In the present treatment, a nonlinear system of anN-person nonzero-sum differential game is linearized with respect to the controls. It is shown that the optimal trajectory and the optimal costs of the linearized system lead, under certain conditions, to an approximation of the optimal trajectory and the optimal costs of the original nonlinear system.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Pontryagin, L. S.,Ordinary Differential Equations, Addison-Wesley Publishing Company, Reading, Massachusetts, 1962.
Additional Bibliography
Starr, A. W., andHo, Y. C.,Nonzero-Sum Differential Games, Journal Optimization Theory and Applications, Vol. 3, No. 3, 1969.
Karvovskiy, G. S., andKuznetsov, A. D.,The Maximum Principle in Differential Games for N Players, Engineering Cybernetics, Vol. 4, No. 3, 1966.
Author information
Authors and Affiliations
Additional information
Communicated by Y. C. Ho
Rights and permissions
About this article
Cite this article
Krikelis, N.J. A linearization method inN-person nonzero-sum differential games. J Optim Theory Appl 9, 359–363 (1972). https://doi.org/10.1007/BF00932934
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00932934