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Volumn 33, Issue 2, 1996, Pages 169-188

Periodic optimal control in Hilbert space

Author keywords

Exponentially stable semigroups; Mild solutions; Necessary conditions for optimality; Periodic (or antiperiodic) boundary conditions; Semilinear wave equations; Sobolev spaces

Indexed keywords


EID: 5644239026     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01183142     Document Type: Article
Times cited : (23)

References (10)
  • 1
    • 0027576590 scopus 로고
    • Optimal control with two point boundary conditions
    • V. Barbu and N. H. Pavel (1993). Optimal control with two point boundary conditions. J. Optim. Theory Appl. 77:51-78.
    • (1993) J. Optim. Theory Appl. , vol.77 , pp. 51-78
    • Barbu, V.1    Pavel, N.H.2
  • 2
    • 85041872547 scopus 로고    scopus 로고
    • On the invertibility of I ± exp(-t A) with a maximal monotone
    • Tampa, Florida, August 1992. de Grüyter, New York
    • V. Barbu and N. H. Pavel (1996). On the invertibility of I ± exp(-t A) with A maximal monotone. Proc. WCNA, Tampa, Florida, August 1992. de Grüyter, New York.
    • (1996) Proc. WCNA
    • Barbu, V.1    Pavel, N.H.2
  • 4
    • 1842488575 scopus 로고
    • Uniform energy decay rates for Euler-Bernoulli equations with feedback operators in the Dirichlet/Neumann boundary conditions
    • J. Bartolomeo and R. Triggiani (1991). Uniform energy decay rates for Euler-Bernoulli equations with feedback operators in the Dirichlet/Neumann boundary conditions. SIAM J. Math. Anal. 22:46-71.
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 46-71
    • Bartolomeo, J.1    Triggiani, R.2
  • 6
    • 84966219315 scopus 로고
    • Periodic solutions to nonlinear vibrating strings
    • H. Brezis (1973) Periodic solutions to nonlinear vibrating strings. Bull. Amer. Math. Soc. 8:409-426.
    • (1973) Bull. Amer. Math. Soc. , vol.8 , pp. 409-426
    • Brezis, H.1
  • 7
    • 0000809451 scopus 로고
    • Algebraic Riccati equations with nonsmoothing observation aiming in hyperbolic and Euler-Bernoulli boundary control problems
    • F. Flandoli, I. Lasiecka, and R. Triggiani (1988). Algebraic Riccati equations with nonsmoothing observation aiming in hyperbolic and Euler-Bernoulli boundary control problems. Ann. Mat. Pura Appl. CLIII:307-382.
    • (1988) Ann. Mat. Pura Appl. , vol.153 , pp. 307-382
    • Flandoli, F.1    Lasiecka, I.2    Triggiani, R.3
  • 8
    • 44949272844 scopus 로고
    • Exact controllability and uniform stabilization of Kirchoff plates with boundary control only on Δw|Σ and homogeneous boundary displacement
    • I. Lasiecka and R. Triggiani (1991). Exact controllability and uniform stabilization of Kirchoff plates with boundary control only on Δw|Σ and homogeneous boundary displacement. J. Differential Equations 93:62-101.
    • (1991) J. Differential Equations , vol.93 , pp. 62-101
    • Lasiecka, I.1    Triggiani, R.2
  • 9
    • 0003343097 scopus 로고
    • Differential and Algebraic Riccati Equations with Applications to Boundary/Point Control Problems: Continuous Theory and Approximation Theory
    • Springer-Verlag, Berlin
    • I. Lasiecka and R. Triggiani (1991). Differential and Algebraic Riccati Equations with Applications to Boundary/Point Control Problems: Continuous Theory and Approximation Theory. Lecture Notes in Control and Information Sciences, vol. 164. Springer-Verlag, Berlin.
    • (1991) Lecture Notes in Control and Information Sciences , vol.164
    • Lasiecka, I.1    Triggiani, R.2
  • 10
    • 0026838533 scopus 로고
    • Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
    • I. Lasiecka and R. Triggiani (1992). Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions. Appl. Math. Optim. 25:189-224.
    • (1992) Appl. Math. Optim. , vol.25 , pp. 189-224
    • Lasiecka, I.1    Triggiani, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.