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Volumn 51, Issue 8, 2006, Pages 1230-1248

Impulse control: Boolean programming and numerical algorithms

Author keywords

Boolean programming; Hybrid system; Impulse control; Impulse variational inequality

Indexed keywords

ALGORITHMS; BOOLEAN FUNCTIONS; COMPUTATIONAL METHODS; MATHEMATICAL MODELS;

EID: 33747845636     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.879913     Document Type: Article
Times cited : (8)

References (31)
  • 4
    • 0018532109 scopus 로고
    • "Convexification procedures and decomposition algorithms for large-scale nonconvex optimization problems"
    • D. P. Bertsekas, "Convexification procedures and decomposition algorithms for large-scale nonconvex optimization problems," J. Optim. Theory Appl., vol. 29, pp. 169-197, 1979.
    • (1979) J. Optim. Theory Appl. , vol.29 , pp. 169-197
    • Bertsekas, D.P.1
  • 6
    • 0022112535 scopus 로고
    • "Impulsive optimal control with finite or infinite time horizon"
    • A. Blaquière, "Impulsive optimal control with finite or infinite time horizon," J. Optim. Theory Appl., vol. 46, no. 4, pp. 431-439, 1985.
    • (1985) J. Optim. Theory Appl. , vol.46 , Issue.4 , pp. 431-439
    • Blaquière, A.1
  • 7
    • 0031701911 scopus 로고    scopus 로고
    • "A unified framework for hybrid control: Model and optimal control theory"
    • Jan
    • M. S. Branicky, V. S. Borkar, and S. K. Mitter, "A unified framework for hybrid control: Model and optimal control theory," IEEE Trans. Autom. Control, vol. 43, no. 1, pp. 31-45, Jan. 1998.
    • (1998) IEEE Trans. Autom. Control , vol.43 , Issue.1 , pp. 31-45
    • Branicky, M.S.1    Borkar, V.S.2    Mitter, S.K.3
  • 8
    • 0027657391 scopus 로고
    • "On differential systems with quadratic impulses and their applications to Lagrangian mechanics"
    • A. Bressan and F. Rampazzo, "On differential systems with quadratic impulses and their applications to Lagrangian mechanics," SIAM J. Control Optim., vol. 31, pp. 1205-1220, 1993.
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 1205-1220
    • Bressan, A.1    Rampazzo, F.2
  • 9
    • 84902039386 scopus 로고    scopus 로고
    • "Analysis and approximation of the infinite-horizon problem with impulsive controls"
    • F. Camilli and M. Falcone, "Analysis and approximation of the infinite-horizon problem with impulsive controls," Automat. Remote Control, vol. 58, no. 7, pp. 1203-1215, 1997.
    • (1997) Automat. Remote Control , vol.58 , Issue.7 , pp. 1203-1215
    • Camilli, F.1    Falcone, M.2
  • 10
    • 0035279830 scopus 로고    scopus 로고
    • "Optimal control of a class of hybrid systems"
    • Mar
    • C. G. Cassandras, D. L. Pepyne, and Y. Wardi, "Optimal control of a class of hybrid systems," IEEE Trans. Autom. Control, vol. 46, no. 3, pp. 398-415, Mar. 2001.
    • (2001) IEEE Trans. Autom. Control , vol.46 , Issue.3 , pp. 398-415
    • Cassandras, C.G.1    Pepyne, D.L.2    Wardi, Y.3
  • 11
    • 0034438129 scopus 로고    scopus 로고
    • "Optimal control of a class of linear hybrid systems with saturation"
    • B. De Schunter, "Optimal control of a class of linear hybrid systems with saturation," SIAM J. Control Optim., vol. 39, no. 3, pp. 835-851, 2000.
    • (2000) SIAM J. Control Optim. , vol.39 , Issue.3 , pp. 835-851
    • De Schunter, B.1
  • 12
    • 0028500038 scopus 로고
    • "A multistate, multicontrol problem with unbounded controls"
    • J. R. Dorroh and G. Ferreyra, "A multistate, multicontrol problem with unbounded controls," SIAM J. Control Optim., vol. 32, pp. 1322-1331, 1994.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 1322-1331
    • Dorroh, J.R.1    Ferreyra, G.2
  • 16
    • 0033640511 scopus 로고    scopus 로고
    • "Bregman proximal relaxation of large-scale 0-1 problems"
    • K. C. Kiwiel, P. O. Lindberg, and A. Nõu, "Bregman proximal relaxation of large-scale 0-1 problems," Comput. Optim. Appl., vol. 15, pp. 33-44, 2000.
    • (2000) Comput. Optim. Appl. , vol.15 , pp. 33-44
    • Kiwiel, K.C.1    Lindberg, P.O.2    Nõu, A.3
  • 17
    • 33747869905 scopus 로고
    • "An efficient method for obtaining sharp bounds for nonlinear Boolean programming problems"
    • P. F. Körner, "An efficient method for obtaining sharp bounds for nonlinear Boolean programming problems," RAIRO Recherche Opérationnelle, vol. 26, pp. 113-120, 1992.
    • (1992) RAIRO Recherche Opérationnelle , vol.26 , pp. 113-120
    • Körner, P.F.1
  • 18
    • 0022751724 scopus 로고
    • "Quasi-variational inequalities and ergodic impulse control"
    • P. L. Lions and B. Perthame, "Quasi-variational inequalities and ergodic impulse control," SIAM J. Control Optim., vol. 24, pp. 604-615, 1986.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 604-615
    • Lions, P.L.1    Perthame, B.2
  • 19
    • 0030190314 scopus 로고    scopus 로고
    • "The generalized solutions of nonlinear optimization problems with impulse control"
    • B. M. Miller, "The generalized solutions of nonlinear optimization problems with impulse control," SIAM J. Control Optim., vol. 34, pp. 1420-1440, 1996.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 1420-1440
    • Miller, B.M.1
  • 20
    • 0000126249 scopus 로고
    • "Successive approximation methods for the solution of optimal control problems"
    • S. Mitter, "Successive approximation methods for the solution of optimal control problems," Automatica, vol. 3, pp. 135-149, 1966.
    • (1966) Automatica , vol.3 , pp. 135-149
    • Mitter, S.1
  • 23
    • 0024113443 scopus 로고
    • "On the maximum principle for deterministic impulse control problems"
    • R. Rempala and J. Zabczyk, "On the maximum principle for deterministic impulse control problems," J. Optim. Theory Appl., vol. 59, pp. 281-288, 1988.
    • (1988) J. Optim. Theory Appl. , vol.59 , pp. 281-288
    • Rempala, R.1    Zabczyk, J.2
  • 27
    • 10344257162 scopus 로고
    • "Quasi-variational inequalities and impulse control problems"
    • in E. Sheshinski and Y. Weiss, Eds. Cambridge, MA: MIT Press
    • A. Sulem, "Quasi-variational inequalities and impulse control problems," in Optimal Pricing, Inflation, and The Cost of Price Adjustment, E. Sheshinski and Y. Weiss, Eds. Cambridge, MA: MIT Press, 1993, pp. 57-96.
    • (1993) Optimal Pricing, Inflation, and The Cost of Price Adjustment , pp. 57-96
    • Sulem, A.1
  • 28
    • 0032046094 scopus 로고    scopus 로고
    • "Complementarity modeling of hybrid systems"
    • Mar
    • A. J. van der Schaft and J. M. Schumacher, "Complementarity modeling of hybrid systems," IEEE Trans. Autom. Control, vol. 43, no. 3, pp. 483-490, Mar. 1998.
    • (1998) IEEE Trans. Autom. Control , vol.43 , Issue.3 , pp. 483-490
    • van der Schaft, A.J.1    Schumacher, J.M.2
  • 29
    • 0007525155 scopus 로고
    • "Control systems with jumps in the state variables"
    • K. Vind, "Control systems with jumps in the state variables," Econometrica, vol. 35, no. 2, pp. 273-277, 1967.
    • (1967) Econometrica , vol.35 , Issue.2 , pp. 273-277
    • Vind, K.1
  • 30
    • 33747828486 scopus 로고    scopus 로고
    • "Solving 0-1 programming problems by a penalty approach"
    • S. Wang, K. L. Teo, H. W. J. Lee, and L. Caccetta, "Solving 0-1 programming problems by a penalty approach," Opsearch (Oper. Res. Soc. India), vol. 34, no. 3, pp. 196-206, 1997.
    • (1997) Opsearch (Oper. Res. Soc. India) , vol.34 , Issue.3 , pp. 196-206
    • Wang, S.1    Teo, K.L.2    Lee, H.W.J.3    Caccetta, L.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.