Publications
206 results found
Vinter RB, Zheng H, 1997, The Extended Euler-Lagrange Condition for Nonconvex Variational Problems, SIAM Journal on Control and Optimization, Vol: 35, Pages: 56-77
Do M, Pinho R, Vinter RB, 1997, Necessary Conditions for Optimal Control Problems Involving Nonlinear Differential Algebraic Equations, Journal of Mathematical Analysis and Applications, Vol: 212, Pages: 493-516
Silva GN, Vinter RB, 1997, Necessary Conditions for Optimal Impulsive Control Problems, SIAM Journal on Control and Optimization
Silva GN, Vinter RB, 1997, Necessary Conditions for Optimal Impulsive Control Problems, Proc. 36th Conf. on Decision and Control, San Diego
Clarke FH, Ledyaev Y, Vinter RB, 1997, Regularity properties of solutions to linear quadratic optimal control problems with state constraints, Systems and Control Letters, Vol: 30, Pages: 265-272
Astolfi A, Limebeer DJN, Melchiorri C, et al., 1997, Modelling and Control of Mechanical Systems, Publisher: World Scientific Publisher
Vinter RB, Woodford PD, 1997, On the occurrence of intermediate local minimizers that are not strong local minimizers, Systems and Control Letters, Vol: 31, Pages: 235-242
Mavrikis P, Vinter RB, 1997, Trajectory Specific Model Reduction, Proc. 36th IEEE Conf. on Decision and Control
Vinter RB, Zheng H, 1997, Necessary Conditions for Optimal Control Problems with State Constraints, Trans.American Mathematical Society
Rapaport AE, Vinter RB, 1996, Invariance properties of time measurable differential inclusions and dynamic programming, Journal of Dynamical and Control Systems, Vol: 2, Pages: 423-448
Silva GN, Vinter RB, 1996, Measure Driven Differential Inclusions, Journal of Mathematical Analysis and Applications, Vol: 202, Pages: 727-746
TSOUTSINOS GI, VINTER RB, 1995, DUALITY THEOREMS FOR CONVEX PROBLEMS WITH TIME-DELAY, JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, Vol: 87, Pages: 167-195, ISSN: 0022-3239
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- Citations: 4
DEPINHO MDR, VINTER RB, 1995, AN EULER-LAGRANGE INCLUSION FOR OPTIMAL-CONTROL PROBLEMS, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 40, Pages: 1191-1198, ISSN: 0018-9286
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- Citations: 30
Pytlak R, Vinter RB, 1995, Second-order method for optimal control problems with state constraints and piecewise-constant controls, 34th IEEE Conference on Decision and Control, Publisher: I E E E, Pages: 625-630
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- Citations: 3
Michalska H, Vinter RB, 1994, Nonlinear stabilization using discontinuous moving-horizon control, IMA Journal of Mathematical Control and Information, Vol: 11, Pages: 321-340, ISSN: 0265-0754
The moving-horizon control strategy provides a relatively simple method for determining feedback control for nonlinear systems. This type of control has been shown to be globally asymptotically stabilizing when applied to a class of time-invariant nonlinear systems. An additional feature that makes the moving-horizon control attractive for applications is that it is robust and allows for construction of feedback control in the presence of control and state constraints imposed on the system. In this paper, we allow the moving-horizon feedback law to be discontinuous, and extend the previous results to general nonlinear time-varying systems with state constraints. We also discuss the robustness of moving-horizon control to model-system error. © 1994 Oxford University Press.
FERREIRA MMA, VINTER RB, 1994, WHEN IS THE MAXIMUM PRINCIPLE FOR STATE CONSTRAINED PROBLEMS NONDEGENERATE, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol: 187, Pages: 438-467, ISSN: 0022-247X
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- Citations: 53
Vinter R, 1994, Uniqueness of solutions to the Hamilton-Jacobi equation: a system theoretic proof, Systems and Control Letters, Vol: 22, Pages: 267-275, ISSN: 0167-6911
A simple, system theoretic proof is given that the value function of deterministic optimal control is the unique generalized solution to the Hamilton-Jacobi equation. Previous proofs have for the most part involved the use of abstract analytical techniques, which establish uniqueness of viscosity solutions for general classes of partial differential equations. However, as we show, there are alternatives to employing the machinery of viscosity solutions to establish uniqueness of solutions for the specific Hamilton-Jacobi equation of deterministic optimal control; instead a proof may be given based on an analysis of state trajectories and their approximations and on familiar dynamic programming ideas. We describe difficuties which have previously arisen in following the system theoretic approach, and show how to overcome them. © 1994.
PYTLAK R, VINTER RB, 1994, AN ALGORITHM FOR A GENERAL MINIMUM FUEL CONTROL PROBLEM, 33rd IEEE Conference on Decision and Control, Publisher: I E E E, Pages: 3616-3621, ISSN: 0191-2216
ERBATUR K, VINTER RB, KAYNAK O, 1994, FEEDBACK LINEARIZATION CONTROL FOR A 3-DOF FLEXIBLE-JOINT ELBOW MANIPULATOR, 1994 IEEE International Conference on Robotics and Automation, Publisher: I E E E, COMPUTER SOC PRESS, Pages: 2979-2984, ISSN: 1050-4729
ROWLAND JDL, VINTER RB, 1993, DYNAMIC OPTIMIZATION PROBLEMS WITH FREE-TIME AND ACTIVE STATE CONSTRAINTS, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 31, Pages: 677-697, ISSN: 0363-0129
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- Citations: 15
Vinter R, 1993, Convex duality and nonlinear optimal control, SIAM Journal on Control and Optimization, Vol: 31, Pages: 518-538, ISSN: 0363-0129
Problems in nonlinear optimal control can be reformulated as convex optimization problems over a vector space of linear functionals. In this way, methods of convex analysis can bebrought to bear on the task of characterizing solutions to such problems. The result is a neccessary and sufficient condition of optimality that generalizes well-known sufficient conditions, referred to as verification theorems, in dynamic programming; as a byproduct, we obtain a representation of the minimum cost in terms of the upper envelope of subsolutions to the Hamilton-Jacobi equation. It is a striking illustration of the wide range of problems to which convex analysis, and , in particular, convex duality, is applicable. The approach, applied to parametric problems in the calculus of variations, was pioneered by L.C. Young [Lectures on the Calculus of Variations and Optimal Control Theory, V.B. Saunders, Philadelphia, PA, 1969]. As recent work has shown, however, it is equally fruitful when applied in optimal control. This paper, which is expository, offers a self-contained treatment of the application of methods of convex duality to general nonlinear problems in deterministic optimal control. At the same time, it provides extensions of previously published results in several directions. A simple proof is given of the main ″convex″ theorem relating generalized flows and relaxed arcs; this is based on mollification techniques recently developed by Fleming and Vermes [SIAM J. Control Optim., 27 (1989), pp. 1136-1155] for constructing smooth subsolutions to the Hamilton-Jacobi equation.
SILVA GN, VINTER RB, 1993, OPTIMAL IMPULSIVE CONTROL-PROBLEMS WITH STATE CONSTRAINTS, 32nd IEEE Conference on Decision and Control, Publisher: I E E E, Pages: 3811-3812
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- Citations: 1
PYTLAK R, VINTER RB, 1993, A FEASIBLE DIRECTIONS TYPE ALGORITHM FOR OPTIMAL-CONTROL PROBLEMS WITH HARD STATE AND CONTROL CONSTRAINTS, 32nd IEEE Conference on Decision and Control, Publisher: I E E E, Pages: 3335-3340
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- Citations: 1
DEPINHO MDR, SARGENT RWH, VINTER RB, 1993, OPTIMAL-CONTROL OF NONLINEAR DAE SYSTEMS, 32nd IEEE Conference on Decision and Control, Publisher: I E E E, Pages: 3806-3807
KOTSIOPOULOS J, VINTER RB, 1993, DYNAMIC-PROGRAMMING FOR FREE-TIME PROBLEMS WITH END-POINT CONSTRAINTS, MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, Vol: 6, Pages: 180-193, ISSN: 0932-4194
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- Citations: 1
BABAD HR, VINTER RB, 1993, SENSITIVITY INTERPRETATIONS OF THE COSTATE FUNCTION OF OPTIMAL-CONTROL, IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, Vol: 10, Pages: 21-31, ISSN: 0265-0754
ROWLAND JDL, VINTER RB, 1992, PONTRYAGIN TYPE CONDITIONS FOR DIFFERENTIAL-INCLUSIONS WITH FREE TIME, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol: 165, Pages: 587-597, ISSN: 0022-247X
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- Citations: 4
Vinter R, 1992, Free time problems with end point constraints: A dynamic programming approach, Pages: 263-264, ISSN: 0191-2216
Suppose a verification function associated with an admissible state trajectory x ( ) can be found. Then x ( ) is a local minimizer. So it would be desirable to know when verification functions exist. It is shown that a verification function, appropriately defined, always exists under a normality hypothesis. These results improve on earlier ones since they treat problems with a free end-time and a general endpoint constraint.
VINTER RB, FERREIRA MMA, 1992, ON THE NONTRIVIALITY OF THE MAXIMUM PRINCIPLE FOR CONTROL-PROBLEMS WITH STATE CONSTRAINTS, 31ST IEEE CONF ON DECISION AND CONTROL, Publisher: I E E E, Pages: 1540-1541
ROSENBLUETH JF, VINTER RB, 1991, RELAXATION PROCEDURES FOR TIME-DELAY SYSTEMS, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol: 162, Pages: 542-563, ISSN: 0022-247X
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- Citations: 17
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