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Papers by Vinter Richard

Research paper thumbnail of A Necessary and Sufficient Condition for Optimality of Dynamic Programming Type, Making No a Priori Assumptions on the Controls

Siam Journal on Control and Optimization, 1978

A Necessary and Sufficient Condition for Optimality of Dynamic Programming Type, Making No a Prio... more A Necessary and Sufficient Condition for Optimality of Dynamic Programming Type, Making No a Priori Assumptions on the Controls. [SIAM Journal on Control and Optimization 16, 571 (1978)]. Richard B. Vinter, Richard M. Lewis. Abstract. ...

Research paper thumbnail of Relaxation of optimal control problems to equivalent convex programs*1

Journal of Mathematical Analysis and Applications, 1980

Research paper thumbnail of The Extended Euler--Lagrange Condition for Nonconvex Variational Problems

Siam Journal on Control and Optimization, 1997

Abstract. This paper provides necessary conditions of optimality for a general variational proble... more Abstract. This paper provides necessary conditions of optimality for a general variational problem for which the dynamic constraint is a differential inclusion with a possibly nonconvex right side. They take the form of an Euler–Lagrange inclusion involving convexification in only ...

Research paper thumbnail of A verification theorem which provides a necessary and sufficient condition for optimality

IEEE Transactions on Automatic Control, 1980

ABSTRACT

Research paper thumbnail of The Equivalence of Strong and Weak Formulations for Certain Problems in Optimal Control

Siam Journal on Control and Optimization, 1978

The Equivalence of Strong and Weak Formulations for Certain Problems in Optimal Control. [SIAM Jo... more The Equivalence of Strong and Weak Formulations for Certain Problems in Optimal Control. [SIAM Journal on Control and Optimization 16, 546 (1978)]. Richard B. Vinter, Richard M. Lewis. Abstract. It is shown that a wide class ...

Research paper thumbnail of Measurement Placement in Distribution System State Estimation

IEEE Transactions on Power Systems, 2009

Abstract—This paper introduces a technique for meter place-ment for the purpose of improving the ... more Abstract—This paper introduces a technique for meter place-ment for the purpose of improving the quality of voltage and angle estimates across a network. The proposed technique is based on the sequential improvement of a bivariate probability index governing relative errors in ...

Research paper thumbnail of Lipschitz Continuity of Optimal Controls for State Constrained Problems

Siam Journal on Control and Optimization, 2003

This paper provides new conditions under which optimal controls are Lipschitz continuous for dyna... more This paper provides new conditions under which optimal controls are Lipschitz continuous for dynamic optimization problems with functional inequality constraints, a control constraint expressed in terms of a general closed convex set and a coercive cost function. It is shown that the linear independence condition on active state constraints, present in the earlier literature, can be replaced by a less restrictive, positive linear independence condition that requires linear independence merely with respect to nonnegative weighting parameters. Smoothness conditions on the data, imposed in earlier work, are also relaxed. The new conditions for Lipschitz continuity of optimal controls are obtained by a detailed analysis of the implications of first order optimality conditions in the form of a nonsmooth maximum principle.

Research paper thumbnail of Applications of optimal multiprocesses

Siam Journal on Control and Optimization, 1989

Applications of Optimal Multiprocesses. [SIAM Journal on Control and Optimization 27, 1048 (1989)... more Applications of Optimal Multiprocesses. [SIAM Journal on Control and Optimization 27, 1048 (1989)]. Frank H. Clarke, Richard B. Vinter. Abstract. In a previous paper a theory of necessary conditions for optimal multiprocess problems ...

Research paper thumbnail of A Necessary and Sufficient Condition for Optimality of Dynamic Programming Type, Making No a Priori Assumptions on the Controls

Siam Journal on Control and Optimization, 1978

A Necessary and Sufficient Condition for Optimality of Dynamic Programming Type, Making No a Prio... more A Necessary and Sufficient Condition for Optimality of Dynamic Programming Type, Making No a Priori Assumptions on the Controls. [SIAM Journal on Control and Optimization 16, 571 (1978)]. Richard B. Vinter, Richard M. Lewis. Abstract. ...

Research paper thumbnail of Relaxation of optimal control problems to equivalent convex programs*1

Journal of Mathematical Analysis and Applications, 1980

Research paper thumbnail of The Extended Euler--Lagrange Condition for Nonconvex Variational Problems

Siam Journal on Control and Optimization, 1997

Abstract. This paper provides necessary conditions of optimality for a general variational proble... more Abstract. This paper provides necessary conditions of optimality for a general variational problem for which the dynamic constraint is a differential inclusion with a possibly nonconvex right side. They take the form of an Euler–Lagrange inclusion involving convexification in only ...

Research paper thumbnail of A verification theorem which provides a necessary and sufficient condition for optimality

IEEE Transactions on Automatic Control, 1980

ABSTRACT

Research paper thumbnail of The Equivalence of Strong and Weak Formulations for Certain Problems in Optimal Control

Siam Journal on Control and Optimization, 1978

The Equivalence of Strong and Weak Formulations for Certain Problems in Optimal Control. [SIAM Jo... more The Equivalence of Strong and Weak Formulations for Certain Problems in Optimal Control. [SIAM Journal on Control and Optimization 16, 546 (1978)]. Richard B. Vinter, Richard M. Lewis. Abstract. It is shown that a wide class ...

Research paper thumbnail of Measurement Placement in Distribution System State Estimation

IEEE Transactions on Power Systems, 2009

Abstract—This paper introduces a technique for meter place-ment for the purpose of improving the ... more Abstract—This paper introduces a technique for meter place-ment for the purpose of improving the quality of voltage and angle estimates across a network. The proposed technique is based on the sequential improvement of a bivariate probability index governing relative errors in ...

Research paper thumbnail of Lipschitz Continuity of Optimal Controls for State Constrained Problems

Siam Journal on Control and Optimization, 2003

This paper provides new conditions under which optimal controls are Lipschitz continuous for dyna... more This paper provides new conditions under which optimal controls are Lipschitz continuous for dynamic optimization problems with functional inequality constraints, a control constraint expressed in terms of a general closed convex set and a coercive cost function. It is shown that the linear independence condition on active state constraints, present in the earlier literature, can be replaced by a less restrictive, positive linear independence condition that requires linear independence merely with respect to nonnegative weighting parameters. Smoothness conditions on the data, imposed in earlier work, are also relaxed. The new conditions for Lipschitz continuity of optimal controls are obtained by a detailed analysis of the implications of first order optimality conditions in the form of a nonsmooth maximum principle.

Research paper thumbnail of Applications of optimal multiprocesses

Siam Journal on Control and Optimization, 1989

Applications of Optimal Multiprocesses. [SIAM Journal on Control and Optimization 27, 1048 (1989)... more Applications of Optimal Multiprocesses. [SIAM Journal on Control and Optimization 27, 1048 (1989)]. Frank H. Clarke, Richard B. Vinter. Abstract. In a previous paper a theory of necessary conditions for optimal multiprocess problems ...

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