메뉴 건너뛰기




Volumn 34, Issue 8, 1998, Pages 953-967

Riccati equations for strongly stabilizable bounded linear systems

Author keywords

Bounded real lemma; Infinite dimensional linear systems; Popov function; Positive real lemma; Riccati equations; Strong stability

Indexed keywords

CONTROL SYSTEM ANALYSIS; RICCATI EQUATIONS; STABILITY CRITERIA; SYSTEM STABILITY;

EID: 0032142372     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(98)00035-1     Document Type: Article
Times cited : (26)

References (28)
  • 1
    • 84966249611 scopus 로고
    • Tauberian theorems and stability of one-parameter semigroups
    • Arendt, W. and C. J. K. Batty (1988). Tauberian theorems and stability of one-parameter semigroups. Trans. Amer. Math. Soc., 306, 837-841.
    • (1988) Trans. Amer. Math. Soc. , vol.306 , pp. 837-841
    • Arendt, W.1    Batty, C.J.K.2
  • 2
    • 34250243835 scopus 로고
    • Strong stabilizability and the steady state Riccati equation
    • Balakrishnan, A. V. (1981). Strong stabilizability and the steady state Riccati equation. Appl. Math. Optim., 7, 335-345.
    • (1981) Appl. Math. Optim. , vol.7 , pp. 335-345
    • Balakrishnan, A.V.1
  • 3
    • 0001223994 scopus 로고
    • A note on weak stabilizability of contraction semigroups
    • Benchimol, C. D. (1978). A note on weak stabilizability of contraction semigroups. SIAM J. Control Optim., 16, 373-379.
    • (1978) SIAM J. Control Optim. , vol.16 , pp. 373-379
    • Benchimol, C.D.1
  • 4
    • 0026896667 scopus 로고
    • LQ-optimal control of infinite-dimensional systems by spectral factorization
    • Gallier, F. and J. Winkin (1992). LQ-optimal control of infinite-dimensional systems by spectral factorization. Automatica, 28, 757-770.
    • (1992) Automatica , vol.28 , pp. 757-770
    • Gallier, F.1    Winkin, J.2
  • 5
    • 0026881850 scopus 로고
    • Robust control with respect to coprime factors of infinite-dimensional positive real systems
    • Curtain, R. F. and B. van Keulen (1992). Robust control with respect to coprime factors of infinite-dimensional positive real systems. IEEE Trans. Automat. Control, 37, 868-871.
    • (1992) IEEE Trans. Automat. Control , vol.37 , pp. 868-871
    • Curtain, R.F.1    Van Keulen, B.2
  • 7
    • 0002032911 scopus 로고    scopus 로고
    • Riccati equations and normalized coprime factorizations for strongly stabilizable infinite-dimensional systems
    • Curtain, R. F. and H. J. Zwart (1996). Riccati equations and normalized coprime factorizations for strongly stabilizable infinite-dimensional systems. Systems Control Lett., 28, 11-22.
    • (1996) Systems Control Lett. , vol.28 , pp. 11-22
    • Curtain, R.F.1    Zwart, H.J.2
  • 8
  • 9
    • 84855348517 scopus 로고
    • Academic Press, New York, 1970
    • p Spaces. Academic Press, New York, 1970.
    • (1970) p Spaces
    • Duren, P.L.1
  • 10
    • 0030676985 scopus 로고    scopus 로고
    • New results on the operator Carleson measure criterion
    • Hansen, S. and G. Weiss (1997). New results on the operator Carleson measure criterion. IMA J. Math. Control Inform., 14, 3-32.
    • (1997) IMA J. Math. Control Inform. , vol.14 , pp. 3-32
    • Hansen, S.1    Weiss, G.2
  • 11
    • 0003176538 scopus 로고
    • Strong asymptotic stability of linear dynamical systems in Banach spaces
    • Huang, F. (1993). Strong asymptotic stability of linear dynamical systems in Banach spaces. J. Differential Equations, 104, 307-324.
    • (1993) J. Differential Equations , vol.104 , pp. 307-324
    • Huang, F.1
  • 13
    • 0019608183 scopus 로고
    • New results in state estimation and regulation
    • Kučera, V. (1981). New results in state estimation and regulation. Automatica, 17, 745-748.
    • (1981) Automatica , vol.17 , pp. 745-748
    • Kučera, V.1
  • 14
    • 0006844171 scopus 로고
    • Equivalence relation for the algebraic Riccati equation
    • Molinari, B. P. (1973). Equivalence relation for the algebraic Riccati equation. SIAM J. Control, 11, 272-285.
    • (1973) SIAM J. Control , vol.11 , pp. 272-285
    • Molinari, B.P.1
  • 16
    • 0024862781 scopus 로고
    • Feedback stabilization of a linear control system in Hilbert space with an a priori bounded control
    • Slemrod, M. (1989). Feedback stabilization of a linear control system in Hilbert space with an a priori bounded control. Math. Control Signals Systems, 2, 265-285.
    • (1989) Math. Control Signals Systems , vol.2 , pp. 265-285
    • Slemrod, M.1
  • 17
    • 0003371588 scopus 로고
    • Quadratic optimal control of stable systems through spectral factorization
    • Staffans, O. J. (1995). Quadratic optimal control of stable systems through spectral factorization. Math. Control Signals Systems, 8, 167-197.
    • (1995) Math. Control Signals Systems , vol.8 , pp. 167-197
    • Staffans, O.J.1
  • 18
    • 0030283776 scopus 로고    scopus 로고
    • On the discrete and continuous time infinite-dimensional Riccati equations
    • Staffans, O. J. (1996). On the discrete and continuous time infinite-dimensional Riccati equations. System Control Lett., 29, 131-138.
    • (1996) System Control Lett. , vol.29 , pp. 131-138
    • Staffans, O.J.1
  • 19
    • 21944449495 scopus 로고    scopus 로고
    • Quadratic optimal control of stable well-posed linear systems
    • Staffans, O. J. (1997a). Quadratic optimal control of stable well-posed linear systems. Trans. Amer. Math. Soc., 349, 3679-3716.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 3679-3716
    • Staffans, O.J.1
  • 20
    • 0032155488 scopus 로고    scopus 로고
    • Quadratic optimal control of well-posed linear systems
    • to appear
    • Staffans, O. J. (1997b). Quadratic optimal control of well-posed linear systems. SIAM J. Control Optim. (to appear).
    • (1997) SIAM J. Control Optim.
    • Staffans, O.J.1
  • 21
    • 0032123919 scopus 로고    scopus 로고
    • Coprime factorizations and well-posed linear systems
    • to appear
    • Staffans, O. J. (1997c). Coprime factorizations and well-posed linear systems. SIAM J. Control Optim. (to appear).
    • (1997) SIAM J. Control Optim.
    • Staffans, O.J.1
  • 24
    • 84966260365 scopus 로고
    • Transfer functions of regular linear systems, part 1: Characterizations of regularity
    • Weiss, G. (1994a). Transfer functions of regular linear systems, part 1: Characterizations of regularity. Trans. Amer. Math. Soc., 342, 827-854.
    • (1994) Trans. Amer. Math. Soc. , vol.342 , pp. 827-854
    • Weiss, G.1
  • 26
    • 0030677539 scopus 로고    scopus 로고
    • Riccati equation theory for Pritchard-Salamon systems: A popov function approach
    • Weiss, M. (1997). Riccati equation theory for Pritchard-Salamon systems: a Popov function approach. IMA J. Math. Control Inform., 12, 45-84.
    • (1997) IMA J. Math. Control Inform. , vol.12 , pp. 45-84
    • Weiss, M.1
  • 27
    • 0031338920 scopus 로고    scopus 로고
    • Optimal control of stable weakly regular linear systems
    • Weiss, M. and G. Weiss (1997). Optimal control of stable weakly regular linear systems. Math. Control Signals Systems, 10, 287-330.
    • (1997) Math. Control Signals Systems , vol.10 , pp. 287-330
    • Weiss, M.1    Weiss, G.2
  • 28
    • 0010649646 scopus 로고
    • Dynamical boundary control of two-dimensional petrovsky system: Vibrating rectangular plate
    • Analysis and Optimization of Systems eds., A. Bensoussan and J. L. Lions. Springer, Heidelberg
    • You, Y. (1988). Dynamical boundary control of two-dimensional Petrovsky system: vibrating rectangular plate. In Analysis and Optimization of Systems, eds., A. Bensoussan and J. L. Lions, Lecture Notes in Control and Information Sciences, Vol. 111, pp. 519-530. Springer, Heidelberg.
    • (1988) Lecture Notes in Control and Information Sciences , vol.111 , pp. 519-530
    • You, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.