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A survey of the maximum principles for optimal control problems with state constraints

Authors:

Richard F. Hartl,

Suresh P. Sethi,

Raymond G. VicksonAuthors Info & Claims

SIAM Review, Volume 37, Issue 2

Pages 181 - 218

https://doi.org/10.1137/1037043

Published: 01 June 1995 Publication History

Abstract

No abstract available.

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Xie YLu GZheng FCao PLiu X(2024)A Hierarchical Approach for Integrating Merging Sequencing and Trajectory Optimization for Connected and Automated VehiclesIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2024.335070825:7(7552-7567)Online publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1109/TITS.2024.3350708
Sun JWu DYu C(2024)Risk-Averse Optimal Control Model Under Uncertainty and Its Modified Progressive Hedging AlgorithmJournal of Optimization Theory and Applications10.1007/s10957-024-02540-0203:1(960-984)Online publication date: 1-Oct-2024
https://dl.acm.org/doi/10.1007/s10957-024-02540-0
Khwais MHaddad J(2023)Optimal Presignal Control for Two-Mode Traffic at Isolated Signalized IntersectionsTransportation Science10.1287/trsc.2022.117257:2(376-398)Online publication date: 1-Mar-2023
https://dl.acm.org/doi/10.1287/trsc.2022.1172
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Index Terms

A survey of the maximum principles for optimal control problems with state constraints
1. Mathematics of computing
  1. Mathematical analysis
    1. Mathematical optimization
2. Theory of computation
  1. Design and analysis of algorithms
    1. Mathematical optimization

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Information

Published In

SIAM Review Volume 37, Issue 2

June 1995

84 pages

ISSN:0036-1445

Editor:
R. Sincovec
Oak Ridge National Lab., Oak Ridge, TN

Issue’s Table of Contents

Publisher

Society for Industrial and Applied Mathematics

United States

Publication History

Published: 01 June 1995

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Xie YLu GZheng FCao PLiu X(2024)A Hierarchical Approach for Integrating Merging Sequencing and Trajectory Optimization for Connected and Automated VehiclesIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2024.335070825:7(7552-7567)Online publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1109/TITS.2024.3350708
Sun JWu DYu C(2024)Risk-Averse Optimal Control Model Under Uncertainty and Its Modified Progressive Hedging AlgorithmJournal of Optimization Theory and Applications10.1007/s10957-024-02540-0203:1(960-984)Online publication date: 1-Oct-2024
https://dl.acm.org/doi/10.1007/s10957-024-02540-0
Khwais MHaddad J(2023)Optimal Presignal Control for Two-Mode Traffic at Isolated Signalized IntersectionsTransportation Science10.1287/trsc.2022.117257:2(376-398)Online publication date: 1-Mar-2023
https://dl.acm.org/doi/10.1287/trsc.2022.1172
Dong HZhuang WWu GLi ZYin GSong Z(2023)Overtaking-Enabled Eco-Approach Control at Signalized Intersections for Connected and Automated VehiclesIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2023.332802225:5(4527-4539)Online publication date: 7-Nov-2023
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Shi JLi KChen CKong WLuo Y(2023)Cooperative Merging Strategy in Mixed Traffic Based on Optimal Final-State Phase Diagram With Flexible Highway Merging PointsIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2023.327458324:10(11185-11197)Online publication date: 1-Oct-2023
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Wiezel ORamasamy SJustus NOr YHatton R(2023)Geometric analysis of gaits and optimal control for three-link kinematic swimmersAutomatica (Journal of IFAC)10.1016/j.automatica.2023.111223158:COnline publication date: 1-Dec-2023
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Dmitruk AOsmolovskii N(2023)Local Minimum Principle for Optimal Control Problems with Mixed Constraints: The Nonregular CaseApplied Mathematics and Optimization10.1007/s00245-023-09993-188:1Online publication date: 10-Apr-2023
https://dl.acm.org/doi/10.1007/s00245-023-09993-1
Hu YChan CDong J(2022)Optimal Scheduling of Proactive Service with Customer Deterioration and ImprovementManagement Science10.1287/mnsc.2021.399268:4(2533-2578)Online publication date: 1-Apr-2022
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Hamednia ASharma NMurgovski NFredriksson J(2022)Computationally Efficient Algorithm for Eco-Driving Over Long Look-Ahead HorizonsIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2021.305841823:7(6556-6570)Online publication date: 1-Jul-2022
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Cichella VKaminer IWalton CHovakimyan NPascoal A(2022)Consistent approximation of optimal control problems using Bernstein polynomials2019 IEEE 58th Conference on Decision and Control (CDC)10.1109/CDC40024.2019.9029677(4292-4297)Online publication date: 28-Dec-2022
https://dl.acm.org/doi/10.1109/CDC40024.2019.9029677
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Recommendations

The Riccati Equation for Optimal Control Problems with Mixed State-Control Constraints: Necessity and Sufficiency

Sufficient optimality conditions for nonconvex control problems with state constraints

Optimal Control Problems with Mixed and Pure State Constraints

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