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Volumn 9, Issue 4, 2003, Pages 563-584

Optimal control of hybrid systems with an infinite set of discrete states

Author keywords

Hybrid control; Impulse control; Lower semicontinuous value functions; Quasi variational inequalities

Indexed keywords

DIFFERENTIAL EQUATIONS; HAMILTONIANS; NONLINEAR CONTROL SYSTEMS; OPTIMIZATION; SET THEORY; SYSTEM THEORY;

EID: 0141794183     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025600503195     Document Type: Article
Times cited : (4)

References (16)
  • 1
    • 0003830866 scopus 로고
    • Mathematical methods of game and economic theory
    • North-Holland, Amsterdam
    • J. P. Aubin, Mathematical methods of game and economic theory. North-Holland, Amsterdam (1982).
    • (1982)
    • Aubin, J.P.1
  • 2
    • 0004243911 scopus 로고
    • Viability theory
    • Birkhäuser, Boston
    • ____, Viability theory. Birkhäuser, Boston (1991).
    • (1991)
    • Aubin, J.P.1
  • 4
    • 0003130853 scopus 로고    scopus 로고
    • Optimal impulse control problems and quasi-variational inequalities thirty years later
    • (J. Menaldi et al., eds), IOS Press, Paris
    • ____, Optimal impulse control problems and quasi-variational inequalities thirty years later. In: Optimal control and partial differential equations (J. Menaldi et al., eds), IOS Press, Paris (2001), 311-324.
    • (2001) Optimal Control and Partial Differential Equations , pp. 311-324
    • Aubin, J.P.1
  • 5
    • 0036257361 scopus 로고    scopus 로고
    • Impulse differential inclusions: A viability approach to hybrid systems
    • J. P. Aubin, J. Lygeros, S. Sastry, and N. Seube, Impulse differential inclusions: a viability approach to hybrid systems. IEEE Trans. Automat. Control 47 (2002), 2-20.
    • (2002) IEEE Trans. Automat. Control , vol.47 , pp. 2-20
    • Aubin, J.P.1    Lygeros, J.2    Sastry, S.3    Seube, N.4
  • 6
    • 0022061640 scopus 로고
    • Deterministic impulse control problems
    • G. Barles, Deterministic impulse control problems. SIAM J. Control Optim. 23 (1985), 419-432.
    • (1985) SIAM J. Control Optim. , vol.23 , pp. 419-432
    • Barles, G.1
  • 7
    • 78049400271 scopus 로고
    • Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians
    • E. N. Barron and R. Jensen, Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Comm. Partial Differential Equations 15 (1990), 1713-1742.
    • (1990) Comm. Partial Differential Equations , vol.15 , pp. 1713-1742
    • Barron, E.N.1    Jensen, R.2
  • 8
    • 0031701911 scopus 로고    scopus 로고
    • A unified framework for hybrid control: Model and optimal control theory
    • M. S. Branicky, V. S. Borkar, and S. K. Mitter, A unified framework for hybrid control: model and optimal control theory. IEEE Trans. Automat. Control 43 (1998), 31-45.
    • (1998) IEEE Trans. Automat. Control , vol.43 , pp. 31-45
    • Branicky, M.S.1    Borkar, V.S.2    Mitter, S.K.3
  • 9
    • 3943081474 scopus 로고
    • Contrôle impulsionnel et inéquations quasi-variationelles
    • Bordas, Paris
    • A. Bensoussan and J. L. Lions, Contrôle impulsionnel et inéquations quasi-variationelles. Bordas, Paris (1982).
    • (1982)
    • Bensoussan, A.1    Lions, J.L.2
  • 10
    • 0021202882 scopus 로고
    • Optimal switching for ordinary differential equations
    • I. Capuzzo-Dolcetta and L. C. Evans, Optimal switching for ordinary differential equations. SIAM J. Control Optim. 22 (1984), 143-161.
    • (1984) SIAM J. Control Optim. , vol.22 , pp. 143-161
    • Capuzzo-Dolcetta, I.1    Evans, L.C.2
  • 12
    • 85066086057 scopus 로고
    • Lower semicontinuous solutions to the Hamilton-Jacobi equation
    • H. Frankowska, Lower semicontinuous solutions to the Hamilton-Jacobi equation. SIAM J. Control Optim. 31 (1993), 257-272.
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 257-272
    • Frankowska, H.1
  • 13
    • 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. 34 (1996), 199-225.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 199-225
    • Motta, M.1    Rampazzo, F.2
  • 14
    • 0004284115 scopus 로고    scopus 로고
    • Optimal control
    • Birkhäuser, Boston
    • R. B. Vinter, Optimal control. Birkhäuser, Boston (2000).
    • (2000)
    • Vinter, R.B.1
  • 15
    • 0032070810 scopus 로고    scopus 로고
    • Proximal analysis and the minimal time problem
    • P. R. Wolenski and Y. Zhuang, Proximal analysis and the minimal time problem. SIAM J. Control Optim. 36 (1998), 1048-1078.
    • (1998) SIAM J. Control Optim. , vol.36 , pp. 1048-1078
    • Wolenski, P.R.1    Zhuang, Y.2
  • 16
    • 34249976864 scopus 로고
    • Systems governed by ordinary differential equations with continuous, switching and impulse controls
    • J. Yong, Systems governed by ordinary differential equations with continuous, switching and impulse controls. Appl. Math. Optim. 20 (1989), 223-235.
    • (1989) Appl. Math. Optim. , vol.20 , pp. 223-235
    • Yong, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.