一类非线性微分对策的近似解

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) Pub Date : 2012-12-01 DOI:10.1109/CDC.2012.6426353

T. Mylvaganam, M. Sassano, A. Astolfi

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引用次数: 8

摘要

介绍了不求解偏微分方程求一类非零和微分对策近似解的方法。求解依赖于动态反馈控制律的使用和代数方程的求解。在讨论n人的情况之前，先讨论了两人的情况，并通过两个参与者的数值例子说明了该理论。

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Approximate solutions to a class of nonlinear differential games

A method to find approximate solutions to a class of nonzero-sum differential games without solving partial differential equations is introduced. The solution relies upon the use of a dynamic state feedback control law and the solution of algebraic equations. The two-player case is addressed before the N-player case is discussed and a numerical example with two players illustrates the theory.

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来源期刊

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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