Imperial College London
Alternate

Emeritus ProfessorRichardVinter

Faculty of Engineering, Department of Electrical and Electronic Engineering

Emeritus Professor in Electrical and Electronic Engineering
 
 
 
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Contact

 

+44 (0)20 7594 6287r.vinter Website

 
 
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Assistant

 

Mrs Raluca Reynolds +44 (0)20 7594 6281

 
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Location

 

618Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

206 results found

ROWLAND JDL, VINTER RB, 1991, CONSTRUCTION OF OPTIMAL FEEDBACK CONTROLS, SYSTEMS & CONTROL LETTERS, Vol: 16, Pages: 357-367, ISSN: 0167-6911

Journal article

ROWLAND JDL, VINTER RB, 1991, A MAXIMUM PRINCIPLE FOR FREE ENDTIME OPTIMAL-CONTROL PROBLEMS WITH DATA DISCONTINUOUS IN TIME, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 36, Pages: 603-608, ISSN: 0018-9286

Journal article

VINTER RB, MICHALSKA H, 1991, RECEDING HORIZON CONTROL FOR NONLINEAR TIME-VARYING SYSTEMS, 30TH IEEE CONF ON DECISION AND CONTROL / 1991 ANNUAL MEETING OF THE IEEE CONTROL SYSTEM SOC, Publisher: IEEE, Pages: 75-76

Conference paper

ROWLAND JDL, VINTER RB, 1991, FREE TIME OPTIMAL-CONTROL PROBLEMS WITH ACTIVE STATE CONSTRAINTS, 30TH IEEE CONF ON DECISION AND CONTROL / 1991 ANNUAL MEETING OF THE IEEE CONTROL SYSTEM SOC, Publisher: IEEE, Pages: 255-256

Conference paper

VINTER RB, WOLENSKI PR, 1990, COEXTREMALS AND THE VALUE FUNCTION FOR CONTROL-PROBLEMS WITH DATA MEASURABLE IN TIME, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol: 153, Pages: 37-51, ISSN: 0022-247X

Journal article

VINTER RB, WOLENSKI P, 1990, HAMILTON-JACOBI THEORY FOR OPTIMAL-CONTROL PROBLEMS WITH DATA MEASURABLE IN TIME, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 28, Pages: 1404-1419, ISSN: 0363-0129

Journal article

CLARKE FH, VINTER RB, 1990, REGULARITY PROPERTIES OF OPTIMAL CONTROLS, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 28, Pages: 980-997, ISSN: 0363-0129

Journal article

CLARKE FH, VINTER RB, 1990, A REGULARITY THEORY FOR VARIATIONAL-PROBLEMS WITH HIGHER-ORDER DERIVATIVES, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 320, Pages: 227-251, ISSN: 0002-9947

Journal article

VINTER RB, 1990, RELAXED CONTROLS FOR TIME-DELAY SYSTEMS, 9TH INTERNATIONAL CONF ON ANALYSIS AND OPTIMIZATION OF SYSTEMS, Publisher: SPRINGER VERLAG, Pages: 529-538, ISSN: 0170-8643

Conference paper

Briggs M, Vinter R, 1989, Linear filtering for time-delay systems, IMA Journal of Mathematical Control and Information, Vol: 6, Pages: 167-178, ISSN: 0265-0754

A linear filtering problem is studied in which the signal process (x(t):t ≥ 0) is described by a stochastic differential equation where time delays are present in both the noise input and the x variable. By means of a transformation new to the filtering literature, we reduce the signal equation to a delay-free stochastic evolution equation; this permits us to solve the problem by application of the theory of infinite-dimensional linear filtering. © 1989 Oxford University Press.

Journal article

CLARKE FH, VINTER RB, 1989, APPLICATIONS OF OPTIMAL MULTIPROCESSES, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 27, Pages: 1048-1071, ISSN: 0363-0129

Journal article

CLARKE FH, VINTER RB, 1989, OPTIMAL MULTIPROCESSES, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 27, Pages: 1072-1091, ISSN: 0363-0129

Journal article

VINTER RB, WOLENSKI P, 1989, HAMILTON JACOBI THEORY FOR OPTIMAL-CONTROL PROBLEMS WITH DATA MEASURABLE IN TIME, 28TH CONF AT THE 1989 ANNUAL MEETING OF THE IEEE : DECISION AND CONTROL, Publisher: I E E E, Pages: 293-295

Conference paper

Vinter RB, 1988, New results on the relationship between dynamic programming and the maximum principle, Mathematics of Control, Signals, and Systems, Vol: 1, Pages: 97-105, ISSN: 0932-4194

The dynamic programming approach to optimal control theory attempts to characterize the value function V as a solution to the Hamilton-Jacobian-Bellman equation. Heuristic arguments have long been advanced relating the Pontryagin maximum principle and dynamic programming according to the equation (H(t, x * (t), u * (t), p(t)),-p(t))=√V(t,x * (t)), where (x*, u*) is the optimal control process under consideration, p(t), is the coextremal, and H is the Hamiltonian. The relationship has previously been verified under only very restrictive hypotheses. We prove new results, establishing the relationship, now expressed in terms of the generalized gradient of V, for a large class of nonsmooth problems. © 1988 Springer-Verlag New York Inc.

Journal article

VINTER RB, PEREIRA F, 1988, A MAXIMUM PRINCIPLE FOR OPTIMAL PROCESSES WITH DISCONTINUOUS TRAJECTORIES, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 26, Pages: 205-229, ISSN: 0363-0129

Journal article

LOEWEN PD, CLARKE FH, VINTER RB, 1988, DIFFERENTIAL-INCLUSIONS WITH FREE TIME, ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, Vol: 5, Pages: 573-593, ISSN: 0294-1449

Journal article

CLARKE FH, VINTER RB, 1987, THE RELATIONSHIP BETWEEN THE MAXIMUM PRINCIPLE AND DYNAMIC-PROGRAMMING, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 25, Pages: 1291-1311, ISSN: 0363-0129

Journal article

LOEWEN PD, VINTER RB, 1987, PONTRYAGIN-TYPE NECESSARY CONDITIONS FOR DIFFERENTIAL INCLUSION PROBLEMS, SYSTEMS & CONTROL LETTERS, Vol: 9, Pages: 263-265, ISSN: 0167-6911

Journal article

Pereira FMFL, Vinter RB, 1986, NECESSARY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS WITH DISCONTINUOUS TRAJECTORIES., Pages: 1986-1987, ISSN: 0191-2216

Optimal control problems arise in a number of applications, for example, midcourse guidance of space vehicles and resource economics, in which the state trajectories are permitted to be discontinuous. These trajectories can be interpreted as responses to impulsive controls. Necessary conditions of optimality have previously been derived for nonlinear problems of this nature through a change of an independent variable technique which reduces the impulsive control problem to a conventional one. This earlier approach is limited to problems in which the data are regular in time dependence, the control constraint set is independent of time, and the velocity set has a convexity-type property. New necessary conditions which dispose of all these hypotheses are given; and proved by methods of approximation and a limiting argument.

Conference paper

PEREIRA F, VINTER RB, 1986, NECESSARY CONDITIONS FOR OPTIMAL-CONTROL PROBLEMS WITH DISCONTINUOUS TRAJECTORIES, JOURNAL OF ECONOMIC DYNAMICS & CONTROL, Vol: 10, Pages: 115-118, ISSN: 0165-1889

Journal article

Vinter RB, 1986, IS THE COSTATE VARIABLE THE STATE DERIVATIVE OF THE VALUE FUNCTION?, Pages: 1988-1989, ISSN: 0191-2216

In the dynamic programming approach to deterministic optimal control, an attempt is made to characterize the cost-to-go function V(t,x) as a solution to the Hamilton-Jacobi-Bellman equation. It is commonly held that the Pontryagin maximum principle and dynamic programming are related according to the equation p(t) equals V//x (t, x(t)) where p( ) is the costate variable and x( ) is the optimal trajectory under construction. However, this relationship has previously been established only under very restrictive hypotheses. Recent results are presented establishing the relationship, now expressed in terms of a generalized gradient of V( , ), for a very large class of nonsmooth problems with endpoint constraints.

Conference paper

Clarke FH, Vinter R, 1986, On connections between the maximum principle and the dynamic programming technique, North-Holland Mathematics Studies, Vol: 129, Pages: 77-102, ISSN: 0304-0208

1Let V(t,x) be the infimum cost of an optimal control problem, viewed as a function of the initial time and state (t, x). Dynamic programming is concerned with the properties of V(.,.) and, in particular, with its characterization as a solution to a partial differential equation, the Hamilton-Jacobi-Bellman equation. Heuristic arguments have long been advanced to suggest that the costate function appearing in the Maximum Principle is given by p(t) = - Vx(t, x0(t)) (*) where x0(.) is the minimizing state function of interest. In this paper we examine the validity of such claims, and find that (*), interpreted as a differential inclusion involving the partial generalized gradient, is indeed true, almost everywhere and at the endpoints, for a very large class of nonsmooth optimal control problems. © 1986, Elsevier B.V. All rights reserved.

Journal article

Clarke FH, Vinter RB, 1985, Existence and regularity in the small in the calculus of variations, Journal of Differential Equations, Vol: 59, Pages: 336-354, ISSN: 0022-0396

A local existence theorem is proved for the basic problem in the calculus of variations, that of minimizing ∝L(t, x, /.x) dt over a class of functions x assuming given boundary conditions. The Lagrangian L is only assumed to be locally Lipschitz and strictly convex in its /.x variable. © 1985.

Journal article

Clarke FH, Vinter RB, 1985, Regularity properties of solutions to the basic problem in the calculus of variations, Transactions of the American Mathematical Society, Vol: 289, Pages: 73-98, ISSN: 0002-9947

This paper concerns the basic problem in the calculus of variations: minimize a functional J defined by J(x) = f L(t, x(t), x(t)) dt J a over a class of arcs x whose values at a and b have been specified. Existence theory provides rather weak conditions under which the problem has a solution in the class of absolutely continuous arcs, conditions which must be strengthened in order that the standard necessary conditions apply. The question arises: What necessary conditions hold merely under hypotheses of existence theory, say the classical Tonelli conditions? It is shown that, given a solution x, there exists a relatively open subset 0 of [a, 6], of full measure, on which x is locally Lipschitz and satisfies a form of the Euler-Lagrange equation. The main theorem, of which this is a corollary, can also be used in conjunction with various classes of additional hypotheses to deduce the global smoothness of solutions. Three such classes are identified, and results of Bernstein, Tonelli, and Morrey are extended. One of these classes is of a novel nature, and its study implies the new result that when L is independent of t, the solution has essentially bounded derivative. © 1985 American Mathematical Society.

Journal article

VINTER RB, 1985, DYNAMIC-PROGRAMMING FOR OPTIMAL-CONTROL PROBLEMS WITH TERMINAL CONSTRAINTS, LECTURE NOTES IN MATHEMATICS, Vol: 1119, Pages: 190-202, ISSN: 0075-8434

Journal article

Vinter RB, Mendoza LA, 1985, Global Optimality Conditions for Nonnormal Control Problems, IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, Vol: 2, Pages: 241-250, ISSN: 0265-0754

Journal article

CLARKE FH, VINTER RB, 1985, REGULARITY PROPERTIES OF SOLUTIONS TO THE BASIC PROBLEM IN THE CALCULUS OF VARIATIONS, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 289, Pages: 73-98, ISSN: 0002-9947

Journal article

CLARKE FH, VINTER RB, 1984, ON THE CONDITIONS UNDER WHICH THE EULER EQUATION OR THE MAXIMUM PRINCIPLE HOLD, APPLIED MATHEMATICS AND OPTIMIZATION, Vol: 12, Pages: 73-79, ISSN: 0095-4616

Journal article

VINTER RB, 1983, NEW GLOBAL OPTIMALITY CONDITIONS IN OPTIMAL-CONTROL THEORY, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 21, Pages: 235-245, ISSN: 0363-0129

Journal article

VINTER RB, 1983, WEAKEST CONDITIONS FOR EXISTENCE OF LIPSCHITZ CONTINUOUS KROTOV FUNCTIONS IN OPTIMAL-CONTROL THEORY, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 21, Pages: 215-234, ISSN: 0363-0129

Journal article

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