메뉴 건너뛰기




Volumn 51, Issue 5, 2004, Pages 363-375

Global optimization of linear hybrid systems with explicit transitions

Author keywords

Control parametrization; Convex underestimators; Dynamic optimization; Fixed time events; Linear hybrid systems; Multistage dynamic optimization

Indexed keywords

FUNCTIONS; OPTIMIZATION; ORDINARY DIFFERENTIAL EQUATIONS; TIME VARYING CONTROL SYSTEMS;

EID: 1542530003     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2003.09.005     Document Type: Article
Times cited : (24)

References (21)
  • 1
    • 0032552250 scopus 로고    scopus 로고
    • A global optimization method, α BB, for general twice-differentiable constrained NLPs-I. Theoretical advances
    • Adjiman C.S., Dallwig S., Floudas C.A., Neumaier A. A global optimization method, α BB, for general twice-differentiable constrained NLPs-I. Theoretical advances Comput. Chem. Engng. 22(9):1998;1137-1158.
    • (1998) Comput. Chem. Engng. , vol.22 , Issue.9 , pp. 1137-1158
    • Adjiman, C.S.1    Dallwig, S.2    Floudas, C.A.3    Neumaier, A.4
  • 2
    • 0003067073 scopus 로고
    • A dynamical simulation facility for hybrid systems
    • R.L. Grossman, A. Nerode, A.P. Ravn, & H. Rischel. Hybrid Systems, Berlin: Springer
    • Back A., Guckenheimer J., Myers M. A dynamical simulation facility for hybrid systems. Grossman R.L., Nerode A., Ravn A.P., Rischel H. Hybrid Systems. Lecture Notes in Computer Science. Vol. 736:1993;255-267 Springer, Berlin.
    • (1993) Lecture Notes in Computer Science , vol.736 , pp. 255-267
    • Back, A.1    Guckenheimer, J.2    Myers, M.3
  • 3
    • 1542515619 scopus 로고    scopus 로고
    • Modeling, simulation, sensitivity analysis and optimization of hybrid systems
    • Barton P.I., Lee C.K. Modeling, simulation, sensitivity analysis and optimization of hybrid systems. ACM Trans. Modeling Comput. Simulation. 12(4):2002;256-289.
    • (2002) ACM Trans. Modeling Comput. Simulation , vol.12 , Issue.4 , pp. 256-289
    • Barton, P.I.1    Lee, C.K.2
  • 4
    • 0028447056 scopus 로고
    • Modeling of combined discrete/continuous processes
    • Barton P.I., Pantelides C.C. Modeling of combined discrete/continuous processes. AIChE J. 40:1994;966-979.
    • (1994) AIChE J. , vol.40 , pp. 966-979
    • Barton, P.I.1    Pantelides, C.C.2
  • 5
    • 0031701911 scopus 로고    scopus 로고
    • A unified framework for hybrid control: Model and optimal control theory
    • Branicky M.S., Borkar V.S., Mitter S.K. A unified framework for hybrid control: model and optimal control theory. IEEE Trans. Automat. Control. 43(1):1998;31-45.
    • (1998) IEEE Trans. Automat. Control , vol.43 , Issue.1 , pp. 31-45
    • Branicky, M.S.1    Borkar, V.S.2    Mitter, S.K.3
  • 8
    • 0001423319 scopus 로고
    • An algorithm for separable nonconvex programming problems
    • Falk J.E., Soland R.M. An algorithm for separable nonconvex programming problems. Management Sci. 15(9):1969;550-569.
    • (1969) Management Sci. , vol.15 , Issue.9 , pp. 550-569
    • Falk, J.E.1    Soland, R.M.2
  • 9
    • 0031257067 scopus 로고    scopus 로고
    • Efficient sensitivity analysis of large-scale differential-algebraic systems
    • Feehery W.F., Tolsma J.E., Barton P.I. Efficient sensitivity analysis of large-scale differential-algebraic systems. Appl. Numer. Math. 25(1):1997;41-54.
    • (1997) Appl. Numer. Math. , vol.25 , Issue.1 , pp. 41-54
    • Feehery, W.F.1    Tolsma, J.E.2    Barton, P.I.3
  • 10
    • 0033197191 scopus 로고    scopus 로고
    • Parametric sensitivity functions for hybrid discrete/continuous systems
    • Galán S., Feehery W.F., Barton P.I. Parametric sensitivity functions for hybrid discrete/continuous systems. Appl. Numer. Math. 31(1):1999;17-48.
    • (1999) Appl. Numer. Math. , vol.31 , Issue.1 , pp. 17-48
    • Galán, S.1    Feehery, W.F.2    Barton, P.I.3
  • 13
    • 34250381644 scopus 로고
    • Computability of global solutions to factorable nonconvex programs: Part I - Convex underestimating problems
    • McCormick G.P. Computability of global solutions to factorable nonconvex programs: Part I - convex underestimating problems. Math. Programming. 10:1976;147-175.
    • (1976) Math. Programming , vol.10 , pp. 147-175
    • Mccormick, G.P.1
  • 14
    • 0002402270 scopus 로고
    • Optimization of multistage processes described by differential-algebraic equations
    • J.P. Hennart. Numerical Analysis: Proceedings of the Fourth IIMAS Workshop, Berlin: Springer
    • Morison K.R., Sargent R.W.H. Optimization of multistage processes described by differential-algebraic equations. Hennart J.P. Numerical Analysis: Proceedings of the Fourth IIMAS Workshop. Lecture Notes in Mathematics. Vol. 1230:1986;86-102 Springer, Berlin.
    • (1986) Lecture Notes in Mathematics , vol.1230 , pp. 86-102
    • Morison, K.R.1    Sargent, R.W.H.2
  • 15
    • 0004267646 scopus 로고
    • Princeton, NJ: Princeton University Press
    • Rockafellar R.T. Convex Analysis. 1970;Princeton University Press, Princeton, NJ.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 17
    • 0000635160 scopus 로고    scopus 로고
    • A branch-and-reduce approach to global optimization
    • Ryoo H.S., Sahinidis N.V. A branch-and-reduce approach to global optimization. J. Global Optim. 8(2):1996;107-139.
    • (1996) J. Global Optim. , vol.8 , Issue.2 , pp. 107-139
    • Ryoo, H.S.1    Sahinidis, N.V.2
  • 18
    • 1542515620 scopus 로고    scopus 로고
    • Global solution of linear dynamic embedded optimization problems
    • (June) in press
    • A.B. Singer, P.I. Barton, Global solution of linear dynamic embedded optimization problems, J. Optim. Theory Appl. (June 2004) (in press).
    • (2004) J. Optim. Theory Appl.
    • Singer, A.B.1    Barton, P.I.2
  • 20
    • 0028497977 scopus 로고
    • Solution of a class of multistage dynamic optimization problems. 1. Problems without path constraints
    • Vassiliadis V.S., Sargent R.W.H., Pantelides C.C. Solution of a class of multistage dynamic optimization problems. 1. Problems without path constraints. Indust. Engng. Chem. Res. 33:1994;2111-2122.
    • (1994) Indust. Engng. Chem. Res. , vol.33 , pp. 2111-2122
    • Vassiliadis, V.S.1    Sargent, R.W.H.2    Pantelides, C.C.3
  • 21
    • 0035713252 scopus 로고    scopus 로고
    • An approach for solving general switched linear quadratic optimal control problems
    • Orlando, FL
    • X. Xu, P.J. Antsaklis, An approach for solving general switched linear quadratic optimal control problems, in: Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, 2001, pp. 2478-2483.
    • (2001) Proceedings of the 40th IEEE Conference on Decision and Control , pp. 2478-2483
    • Xu, X.1    Antsaklis, P.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.