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A minimax optimal control problem (1979)

Holmåker, K.

Springer

Journal of optimization theory and applications 28 (1979), S. 391-410

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ISSN: 1573-2878

Keywords: Optimal control ; minimax problems ; necessary conditions ; maximum principle

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract A control system x=f(t,x,u) is considered, and a cost functional ess supT 0≤t≤T 1 G(t, x(t),u(t)) is to be minimized. Necessary conditions for optimality (maximum principle and transversality conditions) are derived. It is also shown that an optimal control is optimal for the corresponding problem on a subinterval of [T 0,T 1], if a certain controllability condition is satisfied.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00933382

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