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Volumn 11, Issue 2, 1998, Pages 111-136

Partially observed analytic systems with fully unbounded actuators and sensors-FEM algorithms

Author keywords

FEM approximations; Partially observed control systems; PDEs; Stabilization; Unbounded controls observations

Indexed keywords

PARTIALLY-OBSERVED CONTROL SYSTEMS; PDE; UNBOUNDED ACTUATORS; UNBOUNDED CONTROLS/OBSERVATIONS;

EID: 0032204044     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018681526852     Document Type: Article
Times cited : (13)

References (24)
  • 2
    • 0000425575 scopus 로고    scopus 로고
    • Some convergence estimates for semidiscrete Galerkin-type approximations for parabolic equations
    • J.H. Bramble, A.H. Schatz, V. Thomée, and L.B. Wahlbin, "Some convergence estimates for semidiscrete Galerkin-type approximations for parabolic equations," SIAM J. Numer. Anal., vol. 14, pp. 218-241, 1997.
    • (1997) SIAM J. Numer. Anal. , vol.14 , pp. 218-241
    • Bramble, J.H.1    Schatz, A.H.2    Thomée, V.3    Wahlbin, L.B.4
  • 3
    • 84972562987 scopus 로고
    • Proof of extensions of two conjectures on structural damping for elastic systems
    • S. Chen and R. Triggiani, "Proof of extensions of two conjectures on structural damping for elastic systems," Pacific J. Math., vol. 136, pp. 15-55, 1989.
    • (1989) Pacific J. Math. , vol.136 , pp. 15-55
    • Chen, S.1    Triggiani, R.2
  • 4
    • 38249016718 scopus 로고
    • Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications
    • S. Chen and R. Triggiani, "Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications," J. Differential Equations, vol. 88, pp. 279-293, 1990.
    • (1990) J. Differential Equations , vol.88 , pp. 279-293
    • Chen, S.1    Triggiani, R.2
  • 5
    • 0021394139 scopus 로고
    • Finite dimensional compensators for parabolic distributed systems with unbounded control and observation
    • R. Curtain, "Finite dimensional compensators for parabolic distributed systems with unbounded control and observation," SIAM J. Control, vol. 22, pp. 255-277, 1984.
    • (1984) SIAM J. Control , vol.22 , pp. 255-277
    • Curtain, R.1
  • 6
    • 0011318924 scopus 로고
    • Riccati equations with unbounded coefficients
    • G. Da Prato and A. Ichikawa, "Riccati equations with unbounded coefficients," Ann. Mat. Pura Appl., vol. 140, pp. 209-221, 1985.
    • (1985) Ann. Mat. Pura Appl. , vol.140 , pp. 209-221
    • Da Prato, G.1    Ichikawa, A.2
  • 7
    • 0021155359 scopus 로고
    • Riccati equations arising in a boundary control problem with distributed parameters
    • F. Flandoli, "Riccati equations arising in a boundary control problem with distributed parameters," SIAM J. Control, vol. 22, pp. 76-86, 1984.
    • (1984) SIAM J. Control , vol.22 , pp. 76-86
    • Flandoli, F.1
  • 8
    • 0023345012 scopus 로고
    • Algebraic Riccati equations arising in a boundary control problems
    • F. Flandoli, "Algebraic Riccati equations arising in a boundary control problems," SIAM J. Control, vol. 25, pp. 612-636, 1987.
    • (1987) SIAM J. Control , vol.25 , pp. 612-636
    • Flandoli, F.1
  • 9
    • 0002171573 scopus 로고
    • Concrete characterizations of the domains of fractional powers of same elliptic differential operators of the second order
    • D. Fujiwara, "Concrete characterizations of the domains of fractional powers of same elliptic differential operators of the second order," in Proc. Japan Acad., 1967, vol. 48, pp. 82-86.
    • (1967) Proc. Japan Acad. , vol.48 , pp. 82-86
    • Fujiwara, D.1
  • 10
    • 0019610767 scopus 로고
    • An analysis of optimal model regulation: Convergence and stability
    • J.S. Gibson, "An analysis of optimal model regulation: convergence and stability," SIAM J. Control, vol. 19, pp. 686-707, 1981.
    • (1981) SIAM J. Control , vol.19 , pp. 686-707
    • Gibson, J.S.1
  • 11
    • 0344868440 scopus 로고
    • Approximation theory for linear quadratic Gaussian control of flexible structure
    • J.S. Gibson, "Approximation theory for linear quadratic Gaussian control of flexible structure," SIAM J. Control, vol. 29, pp. 1-38, 1990.
    • (1990) SIAM J. Control , vol.29 , pp. 1-38
    • Gibson, J.S.1
  • 12
    • 0002317471 scopus 로고
    • Characterization de quelques espaces d'interplation
    • P. Grisvard, "Characterization de quelques espaces d'interplation," Arch. Rational Mech. Anal., vol. 25, pp. 40-63, 1967.
    • (1967) Arch. Rational Mech. Anal. , vol.25 , pp. 40-63
    • Grisvard, P.1
  • 15
    • 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., vol. 21, pp. 894-909, 1984.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 894-909
    • Lasiecka, I.1
  • 16
    • 0344868438 scopus 로고
    • Galerkin approximations of infinite dimensional compensators for flexible structures with unbounded control action
    • I. Lasiecka, "Galerkin approximations of infinite dimensional compensators for flexible structures with unbounded control action," Acta Appl. Math., vol. 28, pp. 101-113, 1992.
    • (1992) Acta Appl. Math. , vol.28 , pp. 101-113
    • Lasiecka, I.1
  • 17
    • 0345299725 scopus 로고
    • Finite element approximations of compensator design for analytic generators with fully unbounded control/observations
    • I. Lasiecka, "Finite element approximations of compensator design for analytic generators with fully unbounded control/observations," SIAM J. Control, vol. 33, pp. 67-88, 1995.
    • (1995) SIAM J. Control , vol.33 , pp. 67-88
    • Lasiecka, I.1
  • 18
    • 0003589987 scopus 로고
    • Algebraic Riccati equations with applications to boundary/point control problems: Continuous theory and approximation theory
    • Springer-Verlag
    • I. Lasiecka and R. Triggiani, Algebraic Riccati equations with applications to boundary/point control problems: Continuous theory and approximation theory, Lecture Notes in Control and Inform. Sci., Springer-Verlag, 1991.
    • (1991) Lecture Notes in Control and Inform. Sci.
    • Lasiecka, I.1    Triggiani, R.2
  • 19
    • 84966210220 scopus 로고
    • Numerical approximations of algebraic Riccati equations for abstract systems modeled by analytic semigroups, and applications
    • I. Lasiecka and R. Triggiani, "Numerical approximations of algebraic Riccati equations for abstract systems modeled by analytic semigroups, and applications," Math. Comp., vol. 57, pp. 639-662 and 513-537, 1991.
    • (1991) Math. Comp. , vol.57 , pp. 639-662
    • Lasiecka, I.1    Triggiani, R.2
  • 20
    • 84951671794 scopus 로고
    • Uber ein variational zur losung von Dirichlet Problemen bei Verwendung von Teilraumen, die keinen randbedingungen unterworfen sind
    • J. Nitsche, "Uber ein variational zur losung von Dirichlet Problemen bei Verwendung von Teilraumen, die keinen randbedingungen unterworfen sind," Abh. Math. Sem. Univ. Hamburg, vol. 36, pp. 9-15, 1971.
    • (1971) Abh. Math. Sem. Univ. Hamburg , vol.36 , pp. 9-15
    • Nitsche, J.1
  • 22
    • 0020848056 scopus 로고
    • A discrete approach to compensator design for distributed parameter systems
    • J.M. Schumacher, "A discrete approach to compensator design for distributed parameter systems," SIAM J. Control, vol. 21, pp. 823-837, 1983.
    • (1983) SIAM J. Control , vol.21 , pp. 823-837
    • Schumacher, J.M.1
  • 23
    • 0003208045 scopus 로고
    • Galerkin finite element methods for parabolic problems
    • Springer, Berlin
    • V. Thomée, "Galerkin finite element methods for parabolic problems," Lecture Notes in Math., Springer, Berlin, vol. 1054, 1984.
    • (1984) Lecture Notes in Math. , vol.1054
    • Thomée, V.1
  • 24
    • 0019164651 scopus 로고
    • Boundary feedback stabilization of parabolic equations
    • R. Triggiani, "Boundary feedback stabilization of parabolic equations," Appl. Math. Optim., vol. 6, pp. 201-220, 1980.
    • (1980) Appl. Math. Optim. , vol.6 , pp. 201-220
    • Triggiani, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.