메뉴 건너뛰기




Volumn 33, Issue 1, 2005, Pages 83-107

Proof of convergence for a global optimization algorithm for problems with ordinary differential equations

Author keywords

Deterministic global optimization; Ordinary differential equations; Proof of convergence

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; GLOBAL OPTIMIZATION; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 27744580055     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-004-6100-2     Document Type: Article
Times cited : (8)

References (26)
  • 1
    • 0032552252 scopus 로고    scopus 로고
    • A global optimization method, αBB, for general twice-differentiable constrained NLPs-II. Implementation and computational results
    • Adjiman, C.S., Androulakis, I.P. and Floudas, C.A. (1998a), A global optimization method, αBB, for general twice-differentiable constrained NLPs-II. Implementation and computational results, Computers and Chemical Engineering 22(9), 1159-1179.
    • (1998) Computers and Chemical Engineering , vol.22 , Issue.9 , pp. 1159-1179
    • Adjiman, C.S.1    Androulakis, I.P.2    Floudas, C.A.3
  • 2
    • 0032552250 scopus 로고    scopus 로고
    • A global optimization method, αBB, for general twice-differentiable constrained NLPs-I. Theoretical advances
    • Adjiman, C.S., Dallwig, S., Floudas, C.A. and Neumaier, A. (1998b), A global optimization method, αBB, for general twice-differentiable constrained NLPs-I. Theoretical advances, Computers and Chemical Engineering 22(9), 1137-1158.
    • (1998) Computers and Chemical Engineering , vol.22 , Issue.9 , pp. 1137-1158
    • Adjiman, C.S.1    Dallwig, S.2    Floudas, C.A.3    Neumaier, A.4
  • 3
    • 0003086747 scopus 로고    scopus 로고
    • Rigorous convex underestimators for general twice-differentiable problems
    • Adjiman, C.S. and Floudas, C.A. (1996), Rigorous convex underestimators for general twice-differentiable problems, Journal of Global Optimization 9, 23-40.
    • (1996) Journal of Global Optimization , vol.9 , pp. 23-40
    • Adjiman, C.S.1    Floudas, C.A.2
  • 5
    • 0001327501 scopus 로고
    • αBB: A global optimization method for general constrained nonconvex problems
    • Androulakis, I.P., Maranas, C.D. and Floudas, C.A. (1995) αBB: A global optimization method for general constrained nonconvex problems, Journal of Global Optimization 7, 337-363.
    • (1995) Journal of Global Optimization , vol.7 , pp. 337-363
    • Androulakis, I.P.1    Maranas, C.D.2    Floudas, C.A.3
  • 7
    • 0021606147 scopus 로고
    • Solution of dynamic optimization problems by successive quadratic programming and orthogonal collocation
    • Biegler, L.T. (1984), Solution of dynamic optimization problems by successive quadratic programming and orthogonal collocation, Computers and Chemical Engineering 8(3/4), 243-248.
    • (1984) Computers and Chemical Engineering , vol.8 , Issue.3-4 , pp. 243-248
    • Biegler, L.T.1
  • 8
    • 0002327353 scopus 로고    scopus 로고
    • Deterministic global optimization in nonlinear optimal control problems
    • Esposito, W.R. and Floudas, C.A. (2000a), Deterministic global optimization in nonlinear optimal control problems, Journal of Global Optimization 17(1/4), 97-126.
    • (2000) Journal of Global Optimization , vol.17 , Issue.1-4 , pp. 97-126
    • Esposito, W.R.1    Floudas, C.A.2
  • 9
    • 0034102942 scopus 로고    scopus 로고
    • Global optimization for the parameter estimation of differential- algebraic systems
    • Esposito, W.R. and Floudas, C.A. (2000b), Global optimization for the parameter estimation of differential-algebraic systems, Industrial and Engineering Chemistry Research 39, 1291-1310.
    • (2000) Industrial and Engineering Chemistry Research , vol.39 , pp. 1291-1310
    • Esposito, W.R.1    Floudas, C.A.2
  • 10
    • 0001423319 scopus 로고
    • An algorithm for separable nonconvex programming problems
    • Falk, J.E. and Soland, R.M. (1969), An algorithm for separable nonconvex programming problems. Management Science 15(9) 550-569.
    • (1969) Management Science , vol.15 , Issue.9 , pp. 550-569
    • Falk, J.E.1    Soland, R.M.2
  • 11
    • 0023826312 scopus 로고
    • Control parameterization: A unified approach to optimal control problems with general constraints
    • Goh, C.J. and Teo, K.L. (1988), Control parameterization: a unified approach to optimal control problems with general constraints, Automatica 24(1) 3-18.
    • (1988) Automatica , vol.24 , Issue.1 , pp. 3-18
    • Goh, C.J.1    Teo, K.L.2
  • 13
    • 0001203963 scopus 로고
    • Global minimum potential energy conformations of small molecules
    • Maranas, C.D. and Floudas, C.A. (1994), Global minimum potential energy conformations of small molecules, Journal of Global Optimization 4, 135-170.
    • (1994) Journal of Global Optimization , vol.4 , pp. 135-170
    • Maranas, C.D.1    Floudas, C.A.2
  • 14
    • 34250381644 scopus 로고
    • Computability of global solutions to factorable nonconvex programs: Part i - Convex underestimating problems
    • McCormick, G.P. (1976), Computability of global solutions to factorable nonconvex programs: Part I - Convex underestimating problems, Mathematical Progamming 10, 147-175.
    • (1976) Mathematical Progamming , vol.10 , pp. 147-175
    • McCormick, G.P.1
  • 15
    • 0004293209 scopus 로고
    • Prentice-Hall Englewood Cliffs, N.J.
    • Moore, R.E. (1966), Interval Analysis, Prentice-Hall Englewood Cliffs, N.J.
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 16
    • 0017552080 scopus 로고
    • Use of orthogonal collocation methods in optimal control problems
    • Oh, S.H. and Luus, R. (1977), Use of orthogonal collocation methods in optimal control problems, International Journal of Control 26(5), 657-673.
    • (1977) International Journal of Control , vol.26 , Issue.5 , pp. 657-673
    • Oh, S.H.1    Luus, R.2
  • 17
    • 31244435059 scopus 로고    scopus 로고
    • A rigorous global optimization algorithm for problems with ordinary differential equations
    • Papamichail, I. and Adjiman, C.S. (2002), A rigorous global optimization algorithm for problems with ordinary differential equations, Journal of Global Optimization 24, 1-33.
    • (2002) Journal of Global Optimization , vol.24 , pp. 1-33
    • Papamichail, I.1    Adjiman, C.S.2
  • 19
    • 0014717349 scopus 로고
    • Off line computation of optimum controls for a plate distillation column
    • Pollard, G.P. and Sargent, R.W.H. (1970), Off line computation of optimum controls for a plate distillation column, Automatica 6, 59-76.
    • (1970) Automatica , vol.6 , pp. 59-76
    • Pollard, G.P.1    Sargent, R.W.H.2
  • 22
    • 4444340330 scopus 로고    scopus 로고
    • Global solution of optimization problems with parameter-embedded linear dynamic systems
    • Singer, A.B. and Barton, P.I. (2004), Global solution of optimization problems with parameter-embedded linear dynamic systems, Journal of Optimization Theory and Applications, 121(3), 613-646.
    • (2004) Journal of Optimization Theory and Applications , vol.121 , Issue.3 , pp. 613-646
    • Singer, A.B.1    Barton, P.I.2
  • 23
    • 0000326858 scopus 로고    scopus 로고
    • Global optimization of general process models
    • I.E. Grossmann (ed.), Series in nonconvex optimization and its applications. Kluwer Academic Publishers, Dordrecht Chapt. 12
    • Smith, E.M.B. and Pantelides, C.C. (1996), Global optimization of general process models, In: I.E. Grossmann (ed.), Global Optimization in Engineering Design, Series in nonconvex optimization and its applications. Kluwer Academic Publishers, Dordrecht Chapt. 12, pp. 355-386.
    • (1996) Global Optimization in Engineering Design , pp. 355-386
    • Smith, E.M.B.1    Pantelides, C.C.2
  • 25
    • 0028497977 scopus 로고
    • Solution of a class of multistage dynamic optimization problems. 1. Problems without path constraints
    • Vassiliadis, V.S., Sargent, R.W.H. and Pantelides, C.C. (1994), Solution of a class of multistage dynamic optimization problems. 1. Problems without path constraints, Industrial and Engineering Chemistry Research 33(9), 2111-2122.
    • (1994) Industrial and Engineering Chemistry Research , vol.33 , Issue.9 , pp. 2111-2122
    • Vassiliadis, V.S.1    Sargent, R.W.H.2    Pantelides, C.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.