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Volumn 20, Issue 5-6, 1999, Pages 419-435

Finite element compensators for thermo-elastic systems with boundary control and point observation

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BENDING MOMENTS; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DYNAMICS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; THERMOELASTICITY;

EID: 0033154259     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569908816903     Document Type: Article
Times cited : (6)

References (16)
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    • Curtain, R.1
  • 4
    • 0344868440 scopus 로고
    • Approximation theory for linear quadratic Gaussian control of flexible structures
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    • (1990) SIAM J. Control , vol.29 , pp. 1-38
    • Gibson, J.S.1    Adamian, S.2
  • 5
    • 0002317471 scopus 로고
    • Characterisation de quelques espaces d'interpolation
    • P. Grisvard, Characterisation de quelques espaces d'interpolation, Arch. Rational Mech. Anal., 25, 1967, 40-63.
    • (1967) Arch. Rational Mech. Anal. , vol.25 , pp. 40-63
    • Grisvard, P.1
  • 6
    • 0345299728 scopus 로고    scopus 로고
    • Partially observed analytic systems with fully unbounded actuators and sensors-FEM algorithms
    • Kluwer Academic Publishers. W.W. Hager and P.M. Pardalos, Editors
    • G. Ji and I. Lasiecka, Partially observed analytic systems with fully unbounded actuators and sensors-FEM algorithms, Optitmal Control Theory, Algorithms, and Applications, Kluwer Academic Publishers. W.W. Hager and P.M. Pardalos, Editors.
    • Optitmal Control Theory, Algorithms, and Applications
    • Ji, G.1    Lasiecka, I.2
  • 9
    • 0345299725 scopus 로고
    • Finite element approximations of compensator design for analytic generators with fully unbounded controls-observations
    • I. Lasiecka, Finite element approximations of compensator design for analytic generators with fully unbounded controls-observations, SIAM J. Control & Opt., Vol. 33 No. 1, 1995, 67-88.
    • (1995) SIAM J. Control & Opt. , vol.33 , Issue.1 , pp. 67-88
    • Lasiecka, I.1
  • 10
    • 0344868438 scopus 로고    scopus 로고
    • Galerkin approximations of infinite dimensional compensators for flexible structures with unbounded control actions
    • I. Lasiecka, Galerkin approximations of infinite dimensional compensators for flexible structures with unbounded control actions, Acta Appl. Math., 28, 1998, 101-133.
    • (1998) Acta Appl. Math. , vol.28 , pp. 101-133
    • Lasiecka, I.1
  • 11
    • 0021515790 scopus 로고
    • Convergence estimates for semidiscrete approximations of nonselfadjoint parabolic equations
    • I. Lasiecka, Convergence estimates for semidiscrete approximations of nonselfadjoint parabolic equations SIAM J. Numer. Anal., 21(1984), 894-909.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 894-909
    • Lasiecka, I.1
  • 13
    • 84863451373 scopus 로고
    • Numerical approximations of algebraic Riccati equations for abstract systems modeled by analytic semigroups
    • I. Lasiecka, R. Triggiani Numerical approximations of algebraic Riccati equations for abstract systems modeled by analytic semigroups, Mathematics and Computations, 57, 196, 1991, 513-537.
    • (1991) Mathematics and Computations , vol.57 , Issue.196 , pp. 513-537
    • Lasiecka, I.1    Triggiani, R.2
  • 14
    • 0344005368 scopus 로고    scopus 로고
    • Two direct proofs of analyticity of the s.c. semigroup arising in abstract thermo-elastic equations
    • to appear
    • I. Lasiecka and R. Triggiani, Two direct proofs of analyticity of the s.c. semigroup arising in abstract thermo-elastic equations, Advances in Diff. Eqns., to appear.
    • Advances in Diff. Eqns.
    • Lasiecka, I.1    Triggiani, R.2
  • 15
    • 0344436594 scopus 로고    scopus 로고
    • Analyticity of thermo-elastic semigroups with hinged/Neumann B.C.
    • Abstract & Applied Analysis, to appear Scuola Normale Superiore, Pisa, Italy, July
    • I. Lasiecka and R. Triggiani, Analyticity of thermo-elastic semigroups with hinged/Neumann B.C., Abstract & Applied Analysis, to appear. Presented at Workshop on Deterministic and Stochastic Evolutionary Systems, Scuola Normale Superiore, Pisa, Italy, July 1997; and at IFIP Conference, Detroit, July 1997.
    • (1997) Workshop on Deterministic and Stochastic Evolutionary Systems
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  • 16
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    • Detroit, July
    • I. Lasiecka and R. Triggiani, Analyticity of thermo-elastic semigroups with hinged/Neumann B.C., Abstract & Applied Analysis, to appear. Presented at Workshop on Deterministic and Stochastic Evolutionary Systems, Scuola Normale Superiore, Pisa, Italy, July 1997; and at IFIP Conference, Detroit, July 1997.
    • (1997) IFIP Conference


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