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Volumn 107, Issue 2, 2000, Pages 297-330

Pontryagin principle for state-constrained control problems governed by a first-order PDE system

Author keywords

First order necessary conditions; Multidimensional control problems; Pontryagin principle; Solutions of first Baire class; State constraints; Young measure relaxation

Indexed keywords

CONTROL PROBLEMS; FIRST-ORDER NECESSARY CONDITIONS; FIRST-ORDER PDES; MULTIDIMENSIONAL CONTROL PROBLEM; MULTIDIMENSIONAL CONTROLS; PONTRYAGIN'S PRINCIPLE; SOLUTION OF FIRST BAIRE CLASS; STATE CONSTRAINTS; YOUNG MEASURE; YOUNG MEASURE RELAXATION;

EID: 0034348651     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026481403476     Document Type: Article
Times cited : (17)

References (20)
  • 1
    • 33744917789 scopus 로고    scopus 로고
    • Critical points in relaxed deposit problems
    • Edited by A. Ioffe, S. Reich, and I. Shafrir, Chapman and Hall, CRC Press, Boca Raton, Florida
    • 1. PICKENHAIN, S., and WAGNER, M., Critical Points in Relaxed Deposit Problems, Calculus of Variations and Optimal Control, Edited by A. Ioffe, S. Reich, and I. Shafrir, Chapman and Hall, CRC Press, Boca Raton, Florida, pp. 217-236, 1999.
    • (1999) Calculus of Variations and Optimal Control , pp. 217-236
    • Pickenhain, S.1    Wagner, M.2
  • 4
    • 0002361260 scopus 로고    scopus 로고
    • Pontryagin's maximum principle for Dieudonné-Rashevsky type problems involving Lipschitz functions
    • 4. WAGNER, M., Pontryagin's Maximum Principle for Dieudonné-Rashevsky Type Problems Involving Lipschitz Functions, Optimization, Vol. 46, pp. 165-184, 1999.
    • (1999) Optimization , vol.46 , pp. 165-184
    • Wagner, M.1
  • 5
    • 0002883583 scopus 로고
    • Pontryagin's maximum principle for multidimensional control problems
    • Birkhäuser, Basel, Switzerland
    • 5. KLÖTZLER, R., and PICKENHAIN, S., Pontryagin's Maximum Principle for Multidimensional Control Problems, International Series of Numerical Mathematics, Birkhäuser, Basel, Switzerland, Vol. 111, pp. 21-30, 1993.
    • (1993) International Series of Numerical Mathematics , vol.111 , pp. 21-30
    • Klötzler, R.1    Pickenhain, S.2
  • 6
    • 0002376098 scopus 로고
    • Maximum principle for multidimensional relaxed control problems
    • System Modelling and Optimization, Edited by P. Kall, Springer, New York, NY
    • 6. PICKENHAIN, S., Maximum Principle for Multidimensional Relaxed Control Problems, System Modelling and Optimization, Edited by P. Kall, Lecture Notes in Control and Information Science, Springer, New York, NY, Vol. 180, pp. 424-432, 1992.
    • (1992) Lecture Notes in Control and Information Science , vol.180 , pp. 424-432
    • Pickenhain, S.1
  • 7
    • 0030443160 scopus 로고    scopus 로고
    • A pointwise maximum principle in optimal control with multiple integrals
    • 7. PICKENHAIN, S., A Pointwise Maximum Principle in Optimal Control with Multiple Integrals, Optimization, Vol. 38, pp. 343-355, 1996.
    • (1996) Optimization , vol.38 , pp. 343-355
    • Pickenhain, S.1
  • 12
    • 0002365232 scopus 로고    scopus 로고
    • The maximum principle in optimal control of systems governed by semilinear equations
    • Edited by B. S. Mordukhovich and H. J. Sussmann, Springer, New York, NY
    • 12. GINSBURG, B., and IOFFE, A. D., The Maximum Principle in Optimal Control of Systems Governed by Semilinear Equations, Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control, Edited by B. S. Mordukhovich and H. J. Sussmann, Springer, New York, NY, pp. 81-110, 1996.
    • (1996) Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control , pp. 81-110
    • Ginsburg, B.1    Ioffe, A.D.2
  • 14
    • 0000722251 scopus 로고
    • Erweiterung von mehrdimensionalen steuerungsproblemen und dualität
    • 14. KRAUT, H., and PICKENHAIN, S., Erweiterung von mehrdimensionalen Steuerungsproblemen und Dualität, Optimization, Vol. 21, pp. 387-397, 1990.
    • (1990) Optimization , vol.21 , pp. 387-397
    • Kraut, H.1    Pickenhain, S.2
  • 17
    • 85037787264 scopus 로고
    • Karl Marx Universität Leipzig, Leipzig, Germany, Dissertation
    • 17. KRAUT, H., Optimale Korridore in Steuerungsproblemen, Karl Marx Universität Leipzig, Leipzig, Germany, Dissertation, 1990.
    • (1990) Optimale Korridore in Steuerungsproblemen
    • Kraut, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.