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Volumn 49, Issue 2, 2003, Pages 81-89

Regular linear systems and their reciprocals: Applications to Riccati equations

Author keywords

Infinite dimensional linear system; Lyapunov equation; Regular linear system; Riccati equation; Stability

Indexed keywords

LYAPUNOV METHODS; RICCATI EQUATIONS; SYSTEM STABILITY;

EID: 0037544092     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(02)00302-X     Document Type: Article
Times cited : (27)

References (13)
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    • Riccati equations for stable well-posed linear systems: The generic case
    • under review. Manuscript obtainable
    • R.F. Curtain, Riccati equations for stable well-posed linear systems: the generic case, SIAM J. Control Optim. (under review). Manuscript obtainable at www.math.rug.nl/Research/Syscontrol/ruth/publica/ruthrefs.
    • SIAM J. Control Optim.
    • Curtain, R.F.1
  • 2
    • 0010692755 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for strong stability of distributed parameter systems
    • Curtain R.F., Oostveen J.C. Necessary and sufficient conditions for strong stability of distributed parameter systems. Systems Control Lett. 37:1999;11-18.
    • (1999) Systems Control Lett. , vol.37 , pp. 11-18
    • Curtain, R.F.1    Oostveen, J.C.2
  • 4
    • 78049326213 scopus 로고
    • On the spectral-Lyapunov approach to parametric optimization of distributed parameter systems
    • Grabowski P. On the spectral-Lyapunov approach to parametric optimization of distributed parameter systems. IMA J. Math. Control Inform. 7:1990;317-338.
    • (1990) IMA J. Math. Control Inform. , vol.7 , pp. 317-338
    • Grabowski, P.1
  • 5
    • 0030676985 scopus 로고    scopus 로고
    • New results on the operator Carleson measure criterion
    • Hansen S., Weiss G. New results on the operator Carleson measure criterion. IMA J. Math. Control Inform. 14:1997;3-32.
    • (1997) IMA J. Math. Control Inform. , vol.14 , pp. 3-32
    • Hansen, S.1    Weiss, G.2
  • 8
    • 0032142372 scopus 로고    scopus 로고
    • Riccati equations for strongly stabilizable bounded linear systems
    • Oostveen J.C., Curtain R.F. Riccati equations for strongly stabilizable bounded linear systems. Automatica. 34:1999;953-967.
    • (1999) Automatica , vol.34 , pp. 953-967
    • Oostveen, J.C.1    Curtain, R.F.2
  • 9
    • 0027609609 scopus 로고
    • Conditions for the equivalence of internal and external stability for distributed parameter systems
    • Rebarber R. Conditions for the equivalence of internal and external stability for distributed parameter systems. IEEE Trans. Automat. Control. 38:1993;994-998.
    • (1993) IEEE Trans. Automat. Control , vol.38 , pp. 994-998
    • Rebarber, R.1
  • 10
    • 21944449495 scopus 로고    scopus 로고
    • Quadratic optimal control of stable well-posed linear systems
    • Staffans O.J. Quadratic optimal control of stable well-posed linear systems. Trans. Amer. Math. Soc. 349:1997;3679-3716.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 3679-3716
    • Staffans, O.J.1
  • 11
    • 0032155488 scopus 로고    scopus 로고
    • Quadratic optimal control of well-posed linear systems
    • Staffans O.J. Quadratic optimal control of well-posed linear systems. SIAM J. Control Optim. 37:1998;131-164.
    • (1998) SIAM J. Control Optim. , vol.37 , pp. 131-164
    • Staffans, O.J.1
  • 12
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    • Regular linear systems with feedback
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  • 13
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    • Optimal control of stable weakly regular linear systems
    • Weiss M., Weiss G. Optimal control of stable weakly regular linear systems. Math. Control Signals Systems. 10:1997;287-330.
    • (1997) Math. Control Signals Systems , vol.10 , pp. 287-330
    • Weiss, M.1    Weiss, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.