메뉴 건너뛰기




Volumn 57, Issue 1, 2012, Pages 244-249

Hamilton-jacobi-bellman equation and feedback synthesis for impulsive control

Author keywords

Feedback synthesis; Hamilton Jacobi Bellman equation; Impulsive control; Measure driven differential inclusions; Optimal control

Indexed keywords

CONTROL SPACES; DIFFERENTIAL INCLUSIONS; EULER SOLUTIONS; FEEDBACK OPTIMAL CONTROLS; FORMAL FRAMEWORK; HAMILTON JACOBI BELLMAN EQUATION; IMPULSIVE BEHAVIOR; IMPULSIVE CONTROL SYSTEMS; IMPULSIVE CONTROLS; OPTIMAL CONTROLS; OPTIMALITY CONDITIONS;

EID: 84855401565     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2011.2167822     Document Type: Article
Times cited : (31)

References (26)
  • 1
    • 33847355932 scopus 로고    scopus 로고
    • Dynamical systems with active singularities of elastic type: A modeling and controller synthesis framework
    • DOI 10.1109/TAC.2006.887899
    • J. Bentsman and B. M. Miller, "Dynamical systems with active singularities of elastic type: A modeling and controller synthesis framework," IEEE Trans. Autom. Control, vol. 52, no. 1, pp. 39-55, Jan. 2007. (Pubitemid 46343996)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.1 , pp. 39-55
    • Bentsman, J.1    Miller, B.M.2
  • 2
    • 62749127282 scopus 로고    scopus 로고
    • An impulsive framework for the control of hybrid systems
    • DOI 10.1109/CDC.2007.4434895, 4434895, Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
    • S. Fraga, R. Gomes, and F. Pereira, "An impulsive framework for the control of hybrid systems," in Proc. 46th IEEE Conf. Decision Control, Dec. 2007, pp. 3202-3207. (Pubitemid 351277644)
    • (2007) Proceedings of the IEEE Conference on Decision and Control , pp. 3202-3207
    • Fraga, S.L.1    Gomes, R.2    Pereira, F.L.3
  • 3
    • 0031701911 scopus 로고    scopus 로고
    • A unified framework for hybrid control: Model and optimal control theory
    • PII S0018928698009258
    • M. Branicky, V. Borkar, and S. 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. (Pubitemid 128743101)
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.1 , pp. 31-45
    • Branicky, M.S.1    Borkar, V.S.2    Mitter, S.K.3
  • 4
    • 0001026381 scopus 로고
    • An extended Pontryagin principle for control systems whose control laws contain measures
    • R. W. Rishel, "An extended Pontryagin principle for control systems whose control laws contain measures," SIAM J. Control, vol. 3, no. 2, pp. 191-205, 1965.
    • (1965) SIAM J. Control , vol.3 , Issue.2 , pp. 191-205
    • Rishel, R.W.1
  • 6
    • 0023670757 scopus 로고
    • A maximum principle for optimal control processes with discontinuous trajectories
    • Jan
    • R. B. Vinter and F. M. F. L. Pereira, "A maximum principle for optimal control processes with discontinuous trajectories," SIAM J. Control Optim., vol. 26, no. 1, pp. 205-229, Jan. 1988.
    • (1988) SIAM J. Control Optim. , vol.26 , Issue.1 , pp. 205-229
    • Vinter, R.B.1    Pereira, F.M.F.L.2
  • 7
    • 84972534389 scopus 로고
    • On systems of ordinary differential equations with measures as controls
    • G. D. Maso and F. Rampazzo, "On systems of ordinary differential equations with measures as controls," Differential Integral Equations, vol. 4, pp. 739-765, 1991.
    • (1991) Differential Integral Equations , vol.4 , pp. 739-765
    • Maso, G.D.1    Rampazzo, F.2
  • 8
    • 0028445821 scopus 로고
    • Impulsive control systems without commutativity assumptions
    • A. Bressan and F. Rampazzo, "Impulsive control systems without commutativity assumptions," J. Optim. Theory Appl., vol. 81, no. 3, pp. 435-457, 1994.
    • (1994) J. Optim. Theory Appl. , vol.81 , Issue.3 , pp. 435-457
    • Bressan, A.1    Rampazzo, F.2
  • 9
    • 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, no. 4, pp. 1420-1440, 1996. (Pubitemid 126562721)
    • (1996) SIAM Journal on Control and Optimization , vol.34 , Issue.4 , pp. 1420-1440
    • Miller, B.M.1
  • 12
    • 0029733049 scopus 로고    scopus 로고
    • Dynamic programming for nonlinear systems driven by ordinary and impulsive controls
    • M. Motta and F. Rampazzo, "Dynamic programming for nonlinear systems driven by ordinary and impulsive controls," SIAM J. Control Optim., vol. 34, no. 1, pp. 199-225, 1996. (Pubitemid 126562696)
    • (1996) SIAM Journal on Control and Optimization , vol.34 , Issue.1 , pp. 199-225
    • Motta, M.1    Rampazzo, F.2
  • 14
    • 10344220566 scopus 로고    scopus 로고
    • Lyapunov stability of measure driven impulsive systems
    • DOI 10.1023/B:DIEQ.0000049829.32675.ca
    • F. L. Pereira and G. N. Silva, "Lyapounov stability of measure driven differential inclusions," J. Differential Equations, vol. 40, no. 8, pp. 1122-1130, Aug. 2004. (Pubitemid 39631205)
    • (2004) Differential Equations , vol.40 , Issue.8 , pp. 1122-1130
    • Pereira, F.L.1    Silva, G.N.2
  • 15
    • 0031268098 scopus 로고    scopus 로고
    • Necessary conditions for optimal impulsive control problems
    • PII S0363012995281857
    • G. N. Silva and R. B. Vinter, "Necessary conditions for optimal impulsive control problems," SIAM J. Control Optim., vol. 35, no. 6, pp. 1829-1846, Nov. 1997. (Pubitemid 127618689)
    • (1997) SIAM Journal on Control and Optimization , vol.35 , Issue.6 , pp. 1829-1846
    • Silva, G.N.1    Vinter, R.B.2
  • 16
    • 27644463222 scopus 로고    scopus 로고
    • A nondegenerate maximum principle for the impulse control problem with state constraints
    • DOI 10.1137/S0363012903430068
    • A. Arutyunov, D. Karamzin, and F. Pereira, "A nondegenerate maximum principle for impulse control problem with state constraints," SIAM J. Control Optim., vol. 43, no. 5, pp. 1812-1843, 2005. (Pubitemid 41561987)
    • (2005) SIAM Journal on Control and Optimization , vol.43 , Issue.5 , pp. 1812-1843
    • Arutyunov, A.1    Karamzin, D.2    Pereira, F.3
  • 17
    • 0001700392 scopus 로고    scopus 로고
    • Necessary conditions of optimality for vector-valued impulsive control problems
    • F. L. Pereira and G. N. Silva, "Necessary conditions of optimality for vector-valued impulsive control problems," Syst. Control Lett., vol. 40, pp. 205-215, 2000.
    • (2000) Syst. Control Lett. , vol.40 , pp. 205-215
    • Pereira, F.L.1    Silva, G.N.2
  • 19
    • 62949084711 scopus 로고    scopus 로고
    • On the feedback control of impulsive dynamic systems
    • Dec
    • S. Fraga and F. Pereira, "On the feedback control of impulsive dynamic systems," in Proc. 47th IEEE Conf. Decision Control, Dec. 2008, pp. 2135-2140.
    • (2008) Proc. 47th IEEE Conf. Decision Control , pp. 2135-2140
    • Fraga, S.1    Pereira, F.2
  • 23
    • 44649127411 scopus 로고    scopus 로고
    • A sampling method and approximation results for impulsive systems
    • P. R.Wolenski and S. ? ZZabić, "A sampling method and approximation results for impulsive systems," SIAM J. Control Optim., vol. 46, no. 3, pp. 983-998, 2007.
    • (2007) SIAM J. Control Optim. , vol.46 , Issue.3 , pp. 983-998
    • Wolenski, R.P.1    Zzabić, S.2
  • 25
    • 0002443954 scopus 로고
    • Optimal control and differential games with measures
    • E. N. Barron, R. Jensen, and J. L. Menaldi, "Optimal control and differential games with measures," Nonlinear Anal., vol. 21, no. 4, pp. 241-268, 1993.
    • (1993) Nonlinear Anal. , vol.21 , Issue.4 , pp. 241-268
    • Barron, E.N.1    Jensen, R.2    Menaldi, J.L.3
  • 26
    • 33750722709 scopus 로고    scopus 로고
    • Hamilton-Jacobi conditions for an impulsive control problem
    • A. B. Kurzhanski and A. L. Fradkov, Eds. Amsterdam, The Netherlands: Elsevier
    • F. Pereira and A. C. Matos, "Hamilton-Jacobi conditions for an impulsive control problem," in Nonlinear Control Systems (3-Volume Set), A. B. Kurzhanski and A. L. Fradkov, Eds. Amsterdam, The Netherlands: Elsevier, 2001, pp. 1297-1302.
    • (2001) Nonlinear Control Systems (3-Volume Set) , pp. 1297-1302
    • Pereira, F.1    Matos, A.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.