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Volumn 27, Issue 6, 2006, Pages 2167-2182

Bounding the solutions of parameter dependent nonlinear ordinary differential equations

Author keywords

Convex relaxations; Differential inequalities; Dynamic optimization

Indexed keywords

COMPUTER PROGRAMMING; NONLINEAR SYSTEMS; OPTIMIZATION; PARAMETER ESTIMATION; RELAXATION PROCESSES; SET THEORY;

EID: 33751231736     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/040604388     Document Type: Article
Times cited : (76)

References (11)
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    • Evaluating derivatives: Principles and techniques of algorithmic differentiation
    • SIAM, Philadelphia
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    • (2000) Frontiers in Appl. Math. , vol.19
    • Griewank, A.1
  • 3
    • 1542530003 scopus 로고    scopus 로고
    • Global optimization of linear hybrid systems with explicit transitions
    • C. K. LEE, A. B. SINGER, AMD P. I. BARTON, Global optimization of linear hybrid systems with explicit transitions, Systems Control Lett., 51 (2004), pp. 363-375.
    • (2004) Systems Control Lett. , vol.51 , pp. 363-375
    • Lee, C.K.1    Singer, A.B.2    Barton, P.I.3
  • 4
    • 34250381644 scopus 로고
    • Computability of global solutions to factorable nonconvex programs: Part i - Convex underestimating problems
    • G. P. MCCORMICK, Computability of global solutions to factorable nonconvex programs: Part I - Convex underestimating problems, Math. Programming, 10 (1976), pp. 147-175.
    • (1976) Math. Programming , vol.10 , pp. 147-175
    • Mccormick, G.P.1
  • 5
    • 0003236553 scopus 로고
    • Methods and applications of interval analysis
    • SIAM, Philadelphia
    • R. E. MOORE, Methods and Applications of Interval Analysis, Studies in Appl. Math. 2, SIAM, Philadelphia, 1979.
    • (1979) Studies in Appl. Math. , vol.2
    • Moore, R.E.1
  • 6
    • 33144469819 scopus 로고    scopus 로고
    • Ph.D. thesis, Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA
    • A. B. SINGER, Global Dynamic Optimization, Ph.D. thesis, Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA, 2004.
    • (2004) Global Dynamic Optimization
    • Singer, A.B.1
  • 7
    • 33751206428 scopus 로고    scopus 로고
    • Global optimization with nonlinear ordinary differential equations
    • A. B. SINGER AND P. I. BARTON, Global optimization with nonlinear ordinary differential equations, J. Global Optim., in press.
    • J. Global Optim., in Press
    • Singer, A.B.1    Barton, P.I.2
  • 8
    • 4444340330 scopus 로고    scopus 로고
    • Global solution of linear dynamic embedded optimization problems
    • A. B. SINGER AND P. I. BARTON, Global solution of linear dynamic embedded optimization problems, J. Optim. Theory Appl., 121 (2004), pp. 613-646.
    • (2004) J. Optim. Theory Appl. , vol.121 , pp. 613-646
    • Singer, A.B.1    Barton, P.I.2
  • 9
    • 33751214419 scopus 로고    scopus 로고
    • Technical report, Massachusetts Institute of Technology, Cambridge, MA
    • A. B. SINGER AND B. CHACHUAT, GDOC Version 1.0 Manual, Technical report, Massachusetts Institute of Technology, Cambridge, MA, 2005.
    • (2005) GDOC Version 1.0 Manual
    • Singer, A.B.1    Chachuat, B.2
  • 10
    • 33644509534 scopus 로고    scopus 로고
    • Global dynamic optimization for parameter estimation in chemical kinetics
    • A. B. SINGER, J. W. TAYLOR, W. H. GREEN, AND P. I. BARTON, Global dynamic optimization for parameter estimation in chemical kinetics, J. Phys. Chem. A, 110 (2006), pp. 971-976.
    • (2006) J. Phys. Chem. A , vol.110 , pp. 971-976
    • Singer, A.B.1    Taylor, J.W.2    Green, W.H.3    Barton, P.I.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.