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On a class of linear differential games (1975)

Gutman, S. ; Leitmann, G.

Springer

Journal of optimization theory and applications 17 (1975), S. 511-522

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ISSN: 1573-2878

Keywords: Differential games ; pursuit-evasion ; stability ; uncertain systems

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Saddlepoint strategies are deduced for a class of linear, single-input differential games. Conditions necessary for a saddle-point, as well as sufficient conditions, are discussed. The results are illustrated with a simple example. For the case of one control subject to a norm bound and the other to a quadratic penalty, the results are extended to the vector case and applied to the stabilization of a system subject to norm-bounded input disturbance.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00932787

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