Abstract
This paper presents a method for generating nearoptimal closed-loop solutions to zero-sum perfect information differential games with and without the final time explicitly specified, and with and without control constraints. This near-optimal closed-loop solution is generated by periodically updating the solution to the two-point boundary-value problem obtained by the application of the necessary conditions for a saddle-point solution. The resulting updated open-loop control is then used between updating intervals. Three examples are presented to illustrate the application of this method.
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References
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Anderson, G. M.,A Real Time Closed-Loop Solution Method for a Class of Nonlinear Differential Games, IEEE Transactions on Automatic Control, Vol. AC-17, No. 4, 1972.
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Communicated by G. Leitmann
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Anderson, G.M. A near-optimal closed-loop solution method for nonsingular zero-sum differential games. J Optim Theory Appl 13, 303–318 (1974). https://doi.org/10.1007/BF00934867
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DOI: https://doi.org/10.1007/BF00934867