메뉴 건너뛰기




Volumn 153, Issue 1, 1988, Pages 307-382

Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000809451     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/BF01762397     Document Type: Article
Times cited : (96)

References (44)
  • 6
    • 0342901150 scopus 로고
    • Quelques résultats d'existence unicité et régularité pour un probleme de la théorie du contrôle
    • (1973) J. Math. Pures Appl. , vol.62 , pp. 353-375
    • Da Prato, G.1
  • 11
    • 84936370919 scopus 로고    scopus 로고
    • F. Flandoli, A new approach to the L-Q-R problem for hyperbolic dynamics with boundary control, Proceedings 3rd Intern. Conference on Distributed Parameter Systems, Vorau, Austria, July 6–12, 1986; Springer-Verlag Lectures Notes, LNCIS, 102 (1987), pp. 89–111.
  • 16
    • 84936352182 scopus 로고    scopus 로고
    • J. L. Lions, Control des systèmes distribués singuliers, Gauthier Villars, 1983.
  • 17
  • 18
    • 0001443929 scopus 로고
    • Controllabilité exacte de systèmes distribués
    • (1986) CRAS , vol.302 , pp. 471-475
    • Lions, J.L.1
  • 19
    • 84936323125 scopus 로고    scopus 로고
    • J. L. Lions, Exact controllability of distributed systems. An introduction, Proceedings 25th CDC Conference, Athens, Greece, December, 1986.
  • 21
    • 84936306224 scopus 로고    scopus 로고
    • W. Littman, Near optimal time boundary controllability for a class of hyperbolic equations, Lecture Notes in Control, Springer-Verlag, n. 97 (1987), pp. 307–312.
  • 22
    • 0000881888 scopus 로고
    • Decay of solutions of wave equations in a bounded region with boundary dissipation
    • (1983) T. Diff. Eq. , vol.50 , pp. 163-182
    • Lagnese, T.1
  • 23
    • 84936339482 scopus 로고    scopus 로고
    • J. Lagnese - J. L. Lions, Modeling, Analysis and Control of Thin Plates, Masson, (1988).
  • 30
    • 84936313336 scopus 로고    scopus 로고
    • I. Lasiecka - R. Triggiani, Sharp regularity theory for second order hyperbolic equations of Neumann type, Part I: L2 non-homogeneous data; Part II: The general case, Ann. Mat. Pura Appl., to appear.
  • 31
    • 84936301742 scopus 로고    scopus 로고
    • I. Lasiecka - R. Triggiani, Exact boundary controllability for plate-like equations with control only in the Dirichlet boundary conditions, Rend. Accad. Naz. Lincei, Cl. Sci. Mat., Vol. LXXI (August 1987).
  • 32
    • 84936321131 scopus 로고    scopus 로고
    • I. Lasiecka - R. Triggiani, Exact controllability of the Euler-Bernoulli equation with controls in the Dirichlet and Neumann B.C.: A. non-conservative case, SIAM J. Control, to appear (March 1989).
  • 33
    • 84936311697 scopus 로고    scopus 로고
    • I. Lasieckla - R. Triggiani, A lifting theorem for the time regularity of solutions to abstract equations with unbounded operators and applications to hyperbolic equations, Proceedings Am. Math. Soc, 103 (November 1988).
  • 34
    • 84936354117 scopus 로고    scopus 로고
    • I. Lasiecka - R. Teiggiani, Regularity theory for a class of Euler-Bernoulli equations; a cosine operator approach, Boll. Un. Mat. Ital., (7), 2-B (December 1988).
  • 35
    • 84936346705 scopus 로고    scopus 로고
    • I. Lasiecka - R. Triggiani, Exact boundary controllability for a class of Euler-Bernoulli equations with boundary controls for displacement and moments, J. Math. Anal. Appl., to appear, October 1989.
  • 36
    • 0003083584 scopus 로고
    • The regulator problem for parabolic equations with Dirichlet boundary control, Part I: Riccati's feedback synthesis and regularity of optimal solutions
    • (1987) Appl. Math. Optimiz. , vol.16 , pp. 147-168
    • Lasiecka, I.1    Triggiani, R.2
  • 37
    • 84936341162 scopus 로고    scopus 로고
    • I. Lasiecka - R. Triggiani, Exact controllability of the wave equation with Neumann boundary control, Appl. Math. Optimiz., to appear.
  • 39
    • 0023089994 scopus 로고
    • The linear quadratic optimal control problem for infinite dimensional systems with unbounded input and output operators
    • (1987) SIAM J. Control , vol.25 , pp. 121-144
    • Pritchard, A.1    Salomon, D.2
  • 41
    • 84967773649 scopus 로고
    • Infinite dimensional linear systems with unbounded control and observation: a functional analytic approach
    • (1987) Trans. Amer. Math. Soc. , vol.300 , Issue.2 , pp. 383-431
    • Salomon, D.1
  • 43
    • 0001406093 scopus 로고
    • −1(Ω) of the wave equation with Dirichlet boundary control acting on a portion of the boundary, and related problems
    • (1988) Appl. Math. Optimiz. , vol.18 , pp. 241-277
    • Triggiani, R.1
  • 44
    • 84936374139 scopus 로고    scopus 로고
    • R. Triggiani, Wave equation on a bounded domain with boundary dissipation: an operator approach, J. Math. Anal. Appl., to appear (February 1989). Also in Operator Methods for Optimal Control Problems (Sung L. Lee, Ed.), M. Dekker (1988), pp. 283; Lecture Notes in Pure and Applied Mathematics, Vol. 108, pp. 283–310; Proceedings, Special Session of the Annual Meeting of the American Mathematical Society, New Orleans, LA (1986); also, in Recent Advances in Communication and Control Theory, honoring the sixtieth anniversary of A. V. Balakrishnan (R. E. Kalman and G. I. Marchuk, Eds.), pp. 262–286, Optimization Software, New York (1987).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.