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Volumn 10, Issue 2, 2004, Pages 271-294

Viscosity solutions for an optimal control problem with preisach hysteresis nonlinearities

Author keywords

Dynamic programming; Hysteresis; Optimal control; Viscosity solutions

Indexed keywords

HAMILTONIANS; HYSTERESIS; INTEGRATION; NONLINEAR CONTROL SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; PHASE TRANSITIONS; VISCOSITY;

EID: 12844281115     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2004007     Document Type: Article
Times cited : (14)

References (21)
  • 1
    • 12844264045 scopus 로고    scopus 로고
    • An infinite horizon optimal control problem for some switching systems
    • F. Bagagiolo, An infinite horizon optimal control problem for some switching systems. Discrete Contin. Dyn. Syst. Ser. B 1 (2001) 443-462.
    • (2001) Discrete Contin. Dyn. Syst. Ser. B , vol.1 , pp. 443-462
    • Bagagiolo, F.1
  • 2
    • 0345754822 scopus 로고    scopus 로고
    • Dynamic programming for some optimal control problems with hysteresis
    • F. Bagagiolo, Dynamic programming for some optimal control problems with hysteresis. NoDEA Nonlinear Differ. Equ. Appl. 9 (2002) 149-174.
    • (2002) Nodea Nonlinear Differ. Equ. Appl. , vol.9 , pp. 149-174
    • Bagagiolo, F.1
  • 3
    • 84996130580 scopus 로고    scopus 로고
    • Optimal control of finite horizon type for a multidimensional delayed switching system
    • Preprint
    • F. Bagagiolo, Optimal control of finite horizon type for a multidimensional delayed switching system. Department of Mathematics, University of Trento, Preprint No. 647 (2003).
    • (2003) Department of Mathematics, University of Trento , vol.647
    • Bagagiolo, F.1
  • 5
    • 0000088873 scopus 로고
    • Fully nonlinear Neumann type boundary conditions for first-order Hamilton—Jacobi equations
    • G. Barles and P.L. Lions, Fully nonlinear Neumann type boundary conditions for first-order Hamilton—Jacobi equations. Nonlinear Anal. 16 (1991) 143-153.
    • (1991) Nonlinear Anal , vol.16 , pp. 143-153
    • Barles, G.1    Lions, P.L.2
  • 6
    • 0034627939 scopus 로고    scopus 로고
    • Optimal control of dynamic systems with hysteresis
    • S.A. Belbas and I.D. Mayergoyz, Optimal control of dynamic systems with hysteresis. Int. J. Control 73 (2000) 22-28.
    • (2000) Int. J. Control , vol.73 , pp. 22-28
    • Belbas, S.A.1    Mayergoyz, I.D.2
  • 7
    • 0035575748 scopus 로고    scopus 로고
    • Dynamic programming for systems with hysteresis
    • S.A. Belbas and I.D. Mayergoyz, Dynamic programming for systems with hysteresis. Physica B Condensed Matter 306 (2001) 200-205.
    • (2001) Physica B Condensed Matter , vol.306 , pp. 200-205
    • Belbas, S.A.1    Mayergoyz, I.D.2
  • 8
    • 12844260680 scopus 로고
    • ODE control problems including the Preisach hysteresis operator: Necessary optimality conditions
    • G. Feichtinger Ed., North-Holland, Amsterdam
    • M. Brokate, ODE control problems including the Preisach hysteresis operator: Necessary optimality conditions, in Dynamic Economic Models and Optimal Control, G. Feichtinger Ed., North-Holland, Amsterdam (1992) 51-68.
    • (1992) Dynamic Economic Models and Optimal Control , pp. 51-68
    • Brokate, M.1
  • 10
    • 46549092471 scopus 로고
    • Hamilton-Jacobi equations in infinite dimensions. Part I: Uniqueness of solutions
    • M.G. Crandall and P.L. Lions, Hamilton-Jacobi equations in infinite dimensions. Part I: Uniqueness of solutions. J. Funct. Anal. 62 (1985) 379-396.
    • (1985) J. Funct. Anal. , vol.62 , pp. 379-396
    • Crandall, M.G.1    Lions, P.L.2
  • 14
    • 0001479913 scopus 로고
    • A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations
    • I. Ishii, A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 16 (1989) 105-135.
    • (1989) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.16 , pp. 105-135
    • Ishii, I.1
  • 16
    • 84972559573 scopus 로고
    • Neumann type boundary condition for Hamilton-Jacobi equations
    • P.L. Lions, Neumann type boundary condition for Hamilton-Jacobi equations. Duke Math. J. 52 (1985) 793-820.
    • (1985) Duke Math. J. , vol.52 , pp. 793-820
    • Lions, P.L.1
  • 17
    • 34250087346 scopus 로고
    • Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. Part I: The case of bounded stochastic evolutions
    • P.L. Lions, Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. Part I: the case of bounded stochastic evolutions. Acta Math. 161 (1988) 243-278.
    • (1988) Acta Math , vol.161 , pp. 243-278
    • Lions, P.L.1
  • 19
    • 84996139107 scopus 로고    scopus 로고
    • Optimal control of hysteresis in smart actuators: A viscosity solutions approach
    • preprint
    • X. Tan and J.S. Baras, Optimal control of hysteresis in smart actuators: a viscosity solutions approach. Center for Dynamics and Control of Smart Actuators, preprint (2002).
    • (2002) Center for Dynamics and Control of Smart Actuators
    • Tan, X.1    Baras, J.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.