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Titlebook: Optimal Control Theory and its Applications; Proceedings of the F Bruce J. Kirby Conference proceedings 1974 Springer-Verlag Berlin · Heide

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Applications of the Fredholm Alternative to Controllability of Functional Differential Equations,ear mappings from the Sobolev space . (see [2], for the explanation of this notation) into R and B(t) is an n X m matrix. The map D is the functional difference operator of Cruz and Hale [5] and . is defined by .. There has been a considerable amount of work on the controllability of systems (1.1) o
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Optimal Control Theory and Renewable Resource Management,loyed are similar to well-known models in economics (growth theory, pollution control, etc.), as described in the lectures of Professor Dobell at this seminar. What makes bio-economic models particularly interesting, though, is the interplay between . dynamic systems, the biological on the one hand
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On Finding Solutions which Dominate Equilibrium Solutions to some N-Person Differential Games,to maximize his payoff or minimize his penalty function. This results in what is called in an equilibrium solution. However, it may be that one player may announce a different control, and if the others continue to play the strategy mentioned above, the payoff of every person will be increased; that
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The Quadratic Criterion Problem for Systems Governed by Retarded Functional Differential Equations ace of continuous functions in several papers such as [10], [15], [2], [9], [1] and [15]. The solution is obtained in feedback form and the gain matrices satisfy a coupled set of first order partial differential equations. Working in the 2 Hilbert space M. (see [4]) and using the direct method of Li
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Cheap Control, Singular Arcs, and Singular Perturbations,Here, x and u are vectors of dimension n and r, respectively, Q and R are symmetric matrices, Q is positive semidefinite, R is positive definite, and e is a small positive parameter. Since ε. multiplies the control part of the cost, control is cheap relative to state (cf. Lions (1973) which discusse
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Optimal Control Problems with a Convex and Compact Control Region, R., where x satisfies certain boundary conditions, and where . is to be minimized by suitable choice of the control vector u, subject to the constraint that u(t) e U for all t ε [0,T], U being a given subset of R..
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Optimal Control Problems in Advertising,nce encompasses production, finance, and marketing as its main functional areas which themselves are rather vast, it will not be possible to review all the optimal control problems arising in the literature of Management Science in the next hour. For this reason, I am taking liberty to narrow the sc
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