Linear feedback strategies in non-zero-sum differential games
作者:
RANGASWAMY MUKUNDAN†,
WOLFGANGB. ELSNER†‡,
期刊:
International Journal of Systems Science
(Taylor Available online 1975)
卷期:
Volume 6,
issue 6
页码: 513-532
ISSN:0020-7721
年代: 1975
DOI:10.1080/00207727508941835
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Nash solutions to a class of non-zero-sum differential games are obtained in the form of linear feedback strategies with both constant and time-varying feedback gains. To solve the resulting two-point boundary value problem, a gradient algorithm is proposed. This algorithm is utilized to compute linear feedback Nash solutions for two examples, and the costs are compared with open loop costs. Several specific strategy structures are shown to dominate the open loop solution.
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