메뉴 건너뛰기




Volumn 37, Issue 4, 1999, Pages 1162-1175

Maximum principle for a hybrid system via singular perturbations

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; VARIATIONAL TECHNIQUES;

EID: 0032630805     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012998332640     Document Type: Article
Times cited : (15)

References (13)
  • 1
    • 0002576067 scopus 로고
    • Controlling the spread of a class of epidemics
    • V. ARNAUTU, V. BARBU, AND V. CAPASSO, Controlling the spread of a class of epidemics, Appl. Math. Optim., 20 (1989), pp. 297-317.
    • (1989) Appl. Math. Optim. , vol.20 , pp. 297-317
    • Arnautu, V.1    Barbu, V.2    Capasso, V.3
  • 2
    • 0001295415 scopus 로고
    • A reaction-diffusion system arising in modelling man-environment diseases
    • V. CAPASSO AND K. KUNISCH, A reaction-diffusion system arising in modelling man-environment diseases, Quart. Appl. Math., 46 (1988), pp. 431-450.
    • (1988) Quart. Appl. Math. , vol.46 , pp. 431-450
    • Capasso, V.1    Kunisch, K.2
  • 3
    • 0031189751 scopus 로고    scopus 로고
    • Pontryagin's principle for state-constrained boundary control problems of semilinear parabolic equations
    • E. CASAS, Pontryagin's principle for state-constrained boundary control problems of semilinear parabolic equations, SIAM J. Control Optim., 35 (1997), pp. 1297-1327.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 1297-1327
    • Casas, E.1
  • 4
    • 0016092731 scopus 로고
    • On the variational principle
    • I. EKELAND, On the variational principle, J. Math. Anal. Appl., 47 (1974), pp. 324-353.
    • (1974) J. Math. Anal. Appl. , vol.47 , pp. 324-353
    • Ekeland, I.1
  • 5
    • 34250100696 scopus 로고
    • A unified theory of necessary conditions for nonlinear nonconvex control systems
    • H. O. FATTORINI, A unified theory of necessary conditions for nonlinear nonconvex control systems, Appl. Math. Optim., 15 (1987), pp. 141-185.
    • (1987) Appl. Math. Optim. , vol.15 , pp. 141-185
    • Fattorini, H.O.1
  • 6
    • 0028538715 scopus 로고
    • Optimal problems for nonlinear parabolic boundary control systems
    • H. O. FATTORINI AND T. MURPHY, Optimal problems for nonlinear parabolic boundary control systems, SIAM J. Control Optim., 32 (1994), pp. 1577-1596.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 1577-1596
    • Fattorini, H.O.1    Murphy, T.2
  • 8
    • 0026925030 scopus 로고
    • Suboptimization of singularly perturbed control systems
    • V. G. GAITSGORY, Suboptimization of singularly perturbed control systems, SIAM J. Control Optim., 30 (1992), pp. 1228-1249.
    • (1992) SIAM J. Control Optim. , vol.30 , pp. 1228-1249
    • Gaitsgory, V.G.1
  • 9
    • 0031168753 scopus 로고    scopus 로고
    • Averaging of singularly perturbed systems
    • G. GRAMMEL, Averaging of singularly perturbed systems, Nonlinear Anal., 28 (1997), pp. 1851-1865.
    • (1997) Nonlinear Anal. , vol.28 , pp. 1851-1865
    • Grammel, G.1
  • 10
    • 0001437975 scopus 로고
    • Pontryagin maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints
    • B. HU AND J. YONG, Pontryagin maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints, SIAM J. Control Optim., 33 (1995), pp. 1857-1880.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 1857-1880
    • Hu, B.1    Yong, J.2
  • 12
    • 0000559545 scopus 로고
    • Systems of differential equations containing small parameters in the derivatives
    • A. N. TYCHONOV, Systems of differential equations containing small parameters in the derivatives, Mat. Sb., 31 (1952), pp. 575-586.
    • (1952) Mat. Sb. , vol.31 , pp. 575-586
    • Tychonov, A.N.1
  • 13
    • 0030826053 scopus 로고    scopus 로고
    • Limits of singularly perturbed control problems with statistical dynamics of fast motions
    • A. VIGODNER, Limits of singularly perturbed control problems with statistical dynamics of fast motions, SIAM J. Control Optim., 35 (1997), pp. 1-28.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 1-28
    • Vigodner, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.