메뉴 건너뛰기




Volumn , Issue , 2010, Pages 3271-3276

Dynamic solution of the HJB equation and the optimal control of nonlinear systems

Author keywords

[No Author keywords available]

Indexed keywords

OPTIMAL CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 79953150390     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2010.5716990     Document Type: Conference Paper
Times cited : (15)

References (12)
  • 1
    • 0034549140 scopus 로고    scopus 로고
    • A Note on the Augmented Hessian When the Reduced Hessian Is Semidefinite
    • DOI 10.1137/S1052623499351791
    • K. M. Anstreicher and M. H. Wright. A note on the augmented hessian when the reduced hessian is semidefinite. SIAM J. on Optimization, 11(1):243-253, 2000. (Pubitemid 33235763)
    • (2000) SIAM Journal on Optimization , vol.11 , Issue.1 , pp. 243-253
    • Anstreicher, K.M.1    Wright, M.H.2
  • 3
    • 0031332446 scopus 로고    scopus 로고
    • Galerkin approximations of the generalized hamilton-jacobi-bellman equation
    • R. W. Beard, G. N. Saridis, and J. T. Wen. Galerkin approximations of the generalized hamilton-jacobi-bellman equation. Automatica, 33(12):2159-2177, 1997.
    • (1997) Automatica , vol.33 , Issue.12 , pp. 2159-2177
    • Beard, R.W.1    Saridis, G.N.2    Wen, J.T.3
  • 4
    • 84967758647 scopus 로고
    • Viscosity solutions of hamilton jacobi equations
    • M. G. Crandall and P. L. Lions. Viscosity solutions of hamilton jacobi equations. Trans. Amer. Math. Soc., 227:1-42, 1983.
    • (1983) Trans. Amer. Math. Soc. , vol.227 , pp. 1-42
    • Crandall, M.G.1    Lions, P.L.2
  • 5
    • 0030191874 scopus 로고    scopus 로고
    • Inverse optimality in robust stabilization
    • R. A. Freeman and P. V. Kokotovic. Inverse optimality in robust stabilization. SIAM J. Control Optim., 34(4):1365-1391, 1996.
    • (1996) SIAM J. Control Optim. , vol.34 , Issue.4 , pp. 1365-1391
    • Freeman, R.A.1    Kokotovic, P.V.2
  • 7
    • 0014469655 scopus 로고
    • Optimal regulation of nonlinear dynamical systems
    • D. L. Lukes. Optimal regulation of nonlinear dynamical systems. SIAM J. Control, 7(1):75-100, 1969.
    • (1969) SIAM J. Control , vol.7 , Issue.1 , pp. 75-100
    • Lukes, D.L.1
  • 8
    • 48249087688 scopus 로고    scopus 로고
    • A curse-of-dimensionality-free numerical method for solution of certain HJB pdes
    • W. M. McEneaney. A curse-of-dimensionality-free numerical method for solution of certain HJB pdes. SIAM Journal on Control and Optimization, 46(4):1239-1276, 2007.
    • (2007) SIAM Journal on Control and Optimization , vol.46 , Issue.4 , pp. 1239-1276
    • McEneaney, W.M.1
  • 9
    • 0001161185 scopus 로고    scopus 로고
    • Remarks regarding the gap between continuous, lipschitz and differentiable storage functions for dissipation inequalities appearing in H1 control
    • L. Rosier and E. D. Sontag. Remarks regarding the gap between continuous, lipschitz and differentiable storage functions for dissipation inequalities appearing in H1 control. Systems and Control Letters, 41:237-249, 2000.
    • (2000) Systems and Control Letters , vol.41 , pp. 237-249
    • Rosier, L.1    Sontag, E.D.2
  • 11
    • 27944502462 scopus 로고    scopus 로고
    • Successive approximation approach of optimal control for nonlinear discrete-time systems
    • G. Y. Tang and H. H. Wang. Successive approximation approach of optimal control for nonlinear discrete-time systems. Intern. J. Syst. Sci., 36(3):153-161, 2005.
    • (2005) Intern. J. Syst. Sci. , vol.36 , Issue.3 , pp. 153-161
    • Tang, G.Y.1    Wang, H.H.2
  • 12
    • 0016435369 scopus 로고
    • Successive control for the nonlinear quadratic regulator problem
    • A. Wernli and G. Cook. Successive control for the nonlinear quadratic regulator problem. Automatica, 11:75-84, 1975.
    • (1975) Automatica , vol.11 , pp. 75-84
    • Wernli, A.1    Cook, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.