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SIAM J. on Control and Optimization

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1967

Volume 5, Issue 4, pp. 501-656


An Iterative Procedure for Solving the Time-Optimal Regulator Problem

Toshio Fujisawa and Yutaka Yasuda

SIAM J. Control 5, pp. 501-512 (12 pages) | Cited 6 times

Online Publication Date: July 18, 2006

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Abstract Unavailable

A Note on the Fixed-Point Method of J. E. Rubio

Elmer G. Gilbert

SIAM J. Control 5, pp. 513-514 (2 pages) | Cited 2 times

Online Publication Date: July 18, 2006

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Abstract Unavailable

The Existence of Piecewise Continuous Fuel Optimal Controls

W. C. Grimmell

SIAM J. Control 5, pp. 515-519 (5 pages)

Online Publication Date: July 18, 2006

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Abstract Unavailable

Optimal Discounted Stochastic Control for Diffusion Processes

H. J. Kushner

SIAM J. Control 5, pp. 520-531 (12 pages) | Cited 7 times

Online Publication Date: July 18, 2006

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Abstract Unavailable

On an Existence Theorem for Optimal Control

Togo Nishiura

SIAM J. Control 5, pp. 532-544 (13 pages) | Cited 5 times

Online Publication Date: July 18, 2006

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Abstract Unavailable

A Finite Set of $n \times n$ Stochastic Matrices Generating all $n$-Dimensional Probability Vectors Whose Coordinates Have Finite Binary Expansion

A. Paz

SIAM J. Control 5, pp. 545-554 (10 pages) | Cited 1 time

Online Publication Date: July 18, 2006

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For any integer $n$, it is proved that there exists a finite set of stochastic matrices such that any $n$-dimensional probabilistic vector, the entries of which have finite binary expansion, can be realized as a row in a finite product of those matrices. The matrices are given explicitly and an algorithm is provided for finding the realization of a given vector.

On Function Space Pursuit-Evasion Games

William A. Porter

SIAM J. Control 5, pp. 555-574 (20 pages) | Cited 4 times

Online Publication Date: July 18, 2006

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Functional analysis is used to analyze a minimax problem for a class of functionals on a Hilbert space. The abstract solution is then interpreted, through examples, in the context of pursuit-evasion games. The examples given are chosen to emphasize the breadth of the analysis. Some computational aspects of the minimax problem are considered.

On the Controllability of Delay-Differential Systems

Leonard Weiss

SIAM J. Control 5, pp. 575-587 (13 pages) | Cited 21 times

Online Publication Date: July 18, 2006

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Abstract Unavailable

On the Ultimate Boundedness of Moments Associated with Solutions of Stochastic Differential Equations

Moshe Zakai

SIAM J. Control 5, pp. 588-593 (6 pages) | Cited 8 times

Online Publication Date: July 18, 2006

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Abstract Unavailable

Lagrangian Saddle Points and Optimal Control

D. O. Norris

SIAM J. Control 5, pp. 594-599 (6 pages) | Cited 1 time

Online Publication Date: July 18, 2006

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Abstract Unavailable

Extremal States and Extremal Controls

G. P. Akilov, L. V. Kantorovich, and G. Sh. Rubinshtein

SIAM J. Control 5, pp. 600-608 (9 pages)

Online Publication Date: July 18, 2006

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The article introduces the notion of an extremal state of a system which consists of a vector space, a topology in the space, a set of cones and a state set. The state is a point in this state set such that each ray from this .point in a direction contained within a certain cone contains no points of the state set near the original point. Sufficient conditions for the existence of extremal states and extremality criteria aregiven. Possible applications of this notion are described, in particular, in linear and convex programming, in continuous transport problems, in :the theory of economic models of supply, etc.

Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side

A. F. Filippov

SIAM J. Control 5, pp. 609-621 (13 pages) | Cited 47 times

Online Publication Date: July 18, 2006

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Several existence theorems are proved for absolutely continuous solutions and for continuously differentiable solutions of the equation ${{dx(t)} / {dt}} \in F(t,x(t))$, where $F(t,x)$ is a set continuously dependent on $t$, $x$.

Remarks on Some Recent Extensions of Filippov’s Implicit Functions Lemma

Marc Q. Jacobs

SIAM J. Control 5, pp. 622-627 (6 pages) | Cited 2 times

Online Publication Date: July 18, 2006

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Abstract Unavailable

Functions of Relaxed Controls

J. Warga

SIAM J. Control 5, pp. 628-641 (14 pages) | Cited 17 times

Online Publication Date: July 18, 2006

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Abstract Unavailable

Restricted Minima of Functions of Controls

J. Warga

SIAM J. Control 5, pp. 642-656 (15 pages) | Cited 1 time

Online Publication Date: July 18, 2006

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Abstract Unavailable
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