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Optimal control of systems governed by a class of nonlinear evolution equations in a reflexive Banach space (1978)

Ahmed, N. U. ; Teo, K. L.

Springer

Journal of optimization theory and applications 25 (1978), S. 57-81

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ISSN: 1573-2878

Keywords: Optimal control ; nonlinear evolution equations ; reflexive Banach spaces ; existence theorems ; time-optimal control ; Bolza problem ; terminal control ; velocity field ; set-valued map ; weak Cesari property

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The paper presents a closure theorem for the attainable trajectories of a class of control systems governed by a large class of nonlinear evolution equations in reflexive Banach spaces. Several existence theorems for optimal controls are proven that include a terminal control problem, a time-optimal control problem, and a special Bolza problem. Some results of independent interest are also presented.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00933255

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