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Volumn 27, Issue 1, 1998, Pages 28-50

Discrete approximation of nonconvex hyperbolic optimal control problems with state constraints

Author keywords

Discretization; Existence theory; Minimum principle; Nonlinear hyperbolic systems; Optimal control; Relaxed controls

Indexed keywords


EID: 3042962644     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (21)
  • 1
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    • On optimal control of processes governed by abstract functional, integral, and hyperbolic differential equations
    • BITTNER, L. (1975) On optimal control of processes governed by abstract functional, integral, and hyperbolic differential equations. Math. Operations-forschung u. Statistik, 6, 107-134.
    • (1975) Math. Operations-forschung u. Statistik , vol.6 , pp. 107-134
    • Bittner, L.1
  • 3
    • 0007890251 scopus 로고    scopus 로고
    • The Relaxation Theory Applied to Optimal Control Problems of Semilinear Elliptic Equations
    • Prague, July 1995, Chapman and Hall
    • CASAS, E. (1996) The Relaxation Theory Applied to Optimal Control Problems of Semilinear Elliptic Equations. Proceedings of the 17th Conference on System Modelling and Optimization, Prague, July 1995, Chapman and Hall.
    • (1996) Proceedings of the 17th Conference on System Modelling and Optimization
    • Casas, E.1
  • 4
    • 0021817766 scopus 로고
    • Numerical approximation of nonconvex optimal control problems defined by parabolic equations
    • CHRYSSOVERGHI, I. (1985) Numerical approximation of nonconvex optimal control problems defined by parabolic equations. Journal of Optimization Theory and Applications, 45, 73-88.
    • (1985) Journal of Optimization Theory and Applications , vol.45 , pp. 73-88
    • Chryssoverghi, I.1
  • 5
    • 0022792473 scopus 로고
    • Nonconvex optimal control of nonlinear monotone parabolic systems
    • CHRYSSOVERGHI, I. (1986) Nonconvex optimal control of nonlinear monotone parabolic systems. Systems and Control Letters, 8, 55-62.
    • (1986) Systems and Control Letters , vol.8 , pp. 55-62
    • Chryssoverghi, I.1
  • 8
    • 0015097379 scopus 로고
    • An explicit procedure for discretizing continuous optimal control problems
    • CULLUM, J. (1971) An explicit procedure for discretizing continuous optimal control problems. Journal of Optimization Theory and Applications, 8, 14-34.
    • (1971) Journal of Optimization Theory and Applications , vol.8 , pp. 14-34
    • Cullum, J.1
  • 9
    • 0345654341 scopus 로고
    • Sur le contrôle optimal de systèmes gouvernés par des equations elliptiques
    • EKELAND, I. (1972) Sur le contrôle optimal de systèmes gouvernés par des equations elliptiques. Journal of Functional Analysis, 9, 1-62.
    • (1972) Journal of Functional Analysis , vol.9 , pp. 1-62
    • Ekeland, I.1
  • 10
    • 0028392695 scopus 로고
    • Existence theory and the maximum principle for relaxed infinite-dimensional optimal control problems
    • FATTORINI, H.O. (1994) Existence theory and the maximum principle for relaxed infinite-dimensional optimal control problems. SIAM Journal on Control and Optimization, 32, 311-331.
    • (1994) SIAM Journal on Control and Optimization , vol.32 , pp. 311-331
    • Fattorini, H.O.1
  • 12
    • 84972525302 scopus 로고
    • A priori estimates for the solutions of difference approximations to parabolic differential equations
    • LEES, M. (1960) A priori estimates for the solutions of difference approximations to parabolic differential equations. Duke Mathematical Journal, 27, 287-311.
    • (1960) Duke Mathematical Journal , vol.27 , pp. 287-311
    • Lees, M.1
  • 14
    • 0026173952 scopus 로고
    • A convergent computational method for constrained optimal relaxed control problems
    • ROUBIČEK, T. (1991) A convergent computational method for constrained optimal relaxed control problems. Journal of Optimization Theory and Applications, 69, 589-603.
    • (1991) Journal of Optimization Theory and Applications , vol.69 , pp. 589-603
    • Roubiček, T.1
  • 16
    • 3042865720 scopus 로고    scopus 로고
    • Maximum principle for optimal control of a hyperbolic equation in two space dimensions
    • SADEK, I.S., SLOSS, J.M., BRUCH JR., J.C., ADALI, S. (1996) Maximum principle for optimal control of a hyperbolic equation in two space dimensions. J. of Vibration and Control, 2, 3-15.
    • (1996) J. of Vibration and Control , vol.2 , pp. 3-15
    • Sadek, I.S.1    Sloss, J.M.2    Bruch Jr., J.C.3    Adali, S.4
  • 19
    • 0021392539 scopus 로고
    • Convergence of a strong variational algorithm for relaxed controls involving a class of hyperbolic systems
    • TEO, K.L., CLEMENTS, D.J., WU Z.S. and CHOO, K.G. (1984) Convergence of a strong variational algorithm for relaxed controls involving a class of hyperbolic systems. Journal of Optimization Theory and Applications, 42, 467-485.
    • (1984) Journal of Optimization Theory and Applications , vol.42 , pp. 467-485
    • Teo, K.L.1    Clements, D.J.2    Wu, Z.S.3    Choo, K.G.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.