Imperial College London

ProfessorRichardVinter

Faculty of EngineeringDepartment of Electrical and Electronic Engineering

Professor
 
 
 
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Contact

 

+44 (0)20 7594 6287r.vinter

 
 
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Location

 

Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

150 results found

Vinter RB, Bettiol P, Trajectories satisfying a state constraint: improved estimates and new non-degeneracy conditions, IEEE Transactions on Automatic Control, Vol: 56, Pages: 1090-1096

For a state-constrained control system described by a differential inclusion and a single functional inequality state constraint, it is known that, under an `inward pointing condition', the $W^{1,1}$ distance of an arbitrary state trajectory to the set of state trajectories, which have the same left endpoint and which satisfy the state constraint, is linearly related to the state constraint violation. In this paper we show that, in situations where the state-constrained control system is described instead by a controlled differential equation, this estimate can be improved by replacing the $W^{1,1}$ distance on state trajectories by the Ekeland metric of the distance of the control functions. A counter-example reveals that a refinement of this nature is not in general valid for state constrained differential inclusions. Finally we show how the refined estimates may be used to establish new conditions for non-degeneracy of the state constrained Maximum Principle, in circumstances when the data depends discontinuously on the control variable.

JOURNAL ARTICLE

Bettiol P, Khalil N, Vinter RB, 2016, Normality of Generalized Euler-Lagrange Conditions for State Constrained Optimal Control Problems, JOURNAL OF CONVEX ANALYSIS, Vol: 23, Pages: 291-311, ISSN: 0944-6532

JOURNAL ARTICLE

Boccia A, De Pinho MDR, Vinter RB, 2016, OPTIMAL CONTROL PROBLEMS WITH MIXED AND PURE STATE CONSTRAINTS, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 54, Pages: 3061-3083, ISSN: 0363-0129

JOURNAL ARTICLE

Festa A, Vinter RB, 2016, Decomposition of Differential Games with Multiple Targets, JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, Vol: 169, Pages: 848-875, ISSN: 0022-3239

JOURNAL ARTICLE

Vinter RB, 2016, Multifunctions of bounded variation, JOURNAL OF DIFFERENTIAL EQUATIONS, Vol: 260, Pages: 3350-3379, ISSN: 0022-0396

JOURNAL ARTICLE

Bettiol P, Frankowska H, Vinter RB, 2015, Improved Sensitivity Relations in State Constrained Optimal Control, APPLIED MATHEMATICS AND OPTIMIZATION, Vol: 71, Pages: 353-377, ISSN: 0095-4616

JOURNAL ARTICLE

Palladino M, Vinter RB, 2015, WHEN ARE MINIMIZING CONTROLS ALSO MINIMIZING RELAXED CONTROLS?, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Vol: 35, Pages: 4573-4592, ISSN: 1078-0947

JOURNAL ARTICLE

Palladino M, Vinter RB, 2015, REGULARITY OF THE HAMILTONIAN ALONG OPTIMAL TRAJECTORIES, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 53, Pages: 1892-1919, ISSN: 0363-0129

JOURNAL ARTICLE

Gavriel C, Vinter RB, 2014, Second Order Sufficient Conditions for Optimal Control Problems with Non-unique Minimizers: An Abstract Framework, APPLIED MATHEMATICS AND OPTIMIZATION, Vol: 70, Pages: 411-442, ISSN: 0095-4616

JOURNAL ARTICLE

Palladino M, Vinter RB, 2014, MINIMIZERS THAT ARE NOT ALSO RELAXED MINIMIZERS, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 52, Pages: 2164-2179, ISSN: 0363-0129

JOURNAL ARTICLE

Vinter RB, 2014, THE HAMILTONIAN INCLUSION FOR NONCONVEX VELOCITY SETS, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 52, Pages: 1237-1250, ISSN: 0363-0129

JOURNAL ARTICLE

Bettiol P, Boccia A, Vinter RB, 2013, STRATIFIED NECESSARY CONDITIONS FOR DIFFERENTIAL INCLUSIONS WITH STATE CONSTRAINTS, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 51, Pages: 3903-3917, ISSN: 0363-0129

JOURNAL ARTICLE

Bettiol P, Vinter RB, 2013, ESTIMATES ON TRAJECTORIES IN A CLOSED SET WITH CORNERS FOR (t, x) DEPENDENT DATA, MATHEMATICAL CONTROL AND RELATED FIELDS, Vol: 3, Pages: 245-267, ISSN: 2156-8472

JOURNAL ARTICLE

Boccia A, Falugi P, Maurer H, Vinter RBet al., 2013, Free time optimal control problems with time delays, 52nd IEEE Annual Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 520-525, ISSN: 0743-1546

CONFERENCE PAPER

Festa A, Vinter RB, 2013, A decomposition technique for pursuit evasion games with many pursuers, 52nd IEEE Annual Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 5797-5802, ISSN: 0743-1546

CONFERENCE PAPER

Palladino M, Vinter RB, 2013, When Does Relaxation Reduce the Minimum Cost of an Optimal Control Problem?, 52nd IEEE Annual Conference on Decision and Control (CDC), Publisher: IEEE, Pages: 526-531, ISSN: 0743-1546

CONFERENCE PAPER

Bettiol P, Frankowska H, Vinter RB, 2012, L-infinity estimates on trajectories confined to a closed subset, JOURNAL OF DIFFERENTIAL EQUATIONS, Vol: 252, Pages: 1912-1933, ISSN: 0022-0396

JOURNAL ARTICLE

Clark JMC, Vinter RB, 2012, Stochastic exit time problems arising in process control, STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, Vol: 84, Pages: 667-681, ISSN: 1744-2508

JOURNAL ARTICLE

Falugi P, Kountouriotis P-A, Vinter RB, 2012, Differential Games Controllers That Confine a System to a Safe Region in the State Space, With Applications to Surge Tank Control, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 57, Pages: 2778-2788, ISSN: 0018-9286

JOURNAL ARTICLE

Bettiol P, Bressan A, Vinter RB, 2011, ESTIMATES FOR TRAJECTORIES CONFINED TO A CONE IN R-n, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 49, Pages: 21-41, ISSN: 0363-0129

JOURNAL ARTICLE

Clark JMC, Kountouriotis PA, Vinter RB, 2011, A Gaussian Mixture Filter for Range-Only Tracking, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 56, Pages: 602-613, ISSN: 0018-9286

JOURNAL ARTICLE

Singh R, Pal BC, Jabr RA, Vinter RBet al., 2011, Meter Placement for Distribution System State Estimation: An Ordinal Optimization Approach, IEEE TRANSACTIONS ON POWER SYSTEMS, Vol: 26, Pages: 2328-2335, ISSN: 0885-8950

JOURNAL ARTICLE

Bettiol P, Bressan A, Vinter R, 2010, ON TRAJECTORIES SATISFYING A STATE CONSTRAINT: W-1,W-1 ESTIMATES AND COUNTEREXAMPLES, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 48, Pages: 4664-4679, ISSN: 0363-0129

JOURNAL ARTICLE

Bettiol P, Vinter RB, 2010, SENSITIVITY INTERPRETATIONS OF THE COSTATE VARIABLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 48, Pages: 3297-3317, ISSN: 0363-0129

JOURNAL ARTICLE

Ledyaev YS, Vinter RB, 2010, Discontinuous feedback in nonlinear control: Stabilization under persistent disturbances, PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, Vol: 268, Pages: 222-241, ISSN: 0081-5438

JOURNAL ARTICLE

Clark JMC, Kountouriotis P-A, Vinter RB, 2009, A New Gaussian Mixture Algorithm for GMTI Tracking Under a Minimum Detectable Velocity Constraint, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol: 54, Pages: 2745-2756, ISSN: 0018-9286

JOURNAL ARTICLE

Clarke FH, Vinter RB, 2009, Stability analysis of sliding-mode feedback control, Conference on 50 Years of Optimal Control, Publisher: POLISH ACAD SCIENCES SYSTEMS RESEARCH INST, Pages: 1169-1192, ISSN: 0324-8569

CONFERENCE PAPER

Singh R, Pal BC, Vinter RB, 2009, Measurement Placement in Distribution System State Estimation, IEEE TRANSACTIONS ON POWER SYSTEMS, Vol: 24, Pages: 668-675, ISSN: 0885-8950

JOURNAL ARTICLE

Clarke FH, Vinter RB, 2008, STABILITY ANALYSIS OF SLIDING MODE CONTOLLERS, Conference on Geometric Control and Nonsmooth Analysis, Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD, Pages: 164-+, ISSN: 1793-0901

CONFERENCE PAPER

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