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Volumn 18, Issue 3, 2006, Pages 272-291

The regular linear systems associated with the shift semigroups and application to control linear systems with delay

Author keywords

Abstract linear systems; C0 semigroups; Linear control systems with delay; Regular linear systems; Shift semigroup

Indexed keywords

CONTROL THEORY; DELAY CONTROL SYSTEMS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS;

EID: 33748338119     PISSN: 09324194     EISSN: 1435568X     Source Type: Journal    
DOI: 10.1007/s00498-006-0002-4     Document Type: Article
Times cited : (39)

References (27)
  • 1
    • 0035664922 scopus 로고    scopus 로고
    • Semigroup and linear partial differential equtions with delay
    • Bátkai A, Piazzera S (2001) Semigroup and linear partial differential equtions with delay. J Math Anal Appl 264:1-20
    • (2001) J Math Anal Appl , vol.264 , pp. 1-20
    • Bátkai, A.1    Piazzera, S.2
  • 3
    • 0030284751 scopus 로고    scopus 로고
    • Coprime factorization for regular linear systems
    • Curtain RF, Weiss G, Weiss M (1996) Coprime factorization for regular linear systems. Automatica 32:1519-1531
    • (1996) Automatica , vol.32 , pp. 1519-1531
    • Curtain, R.F.1    Weiss, G.2    Weiss, M.3
  • 4
    • 0042275306 scopus 로고
    • Boundary control problems for age-dependent equations
    • In: Clément Ph, Lumer G (eds). Dekker, New York
    • Da Prato G, Iannelli M (1993). Boundary control problems for age-dependent equations. In: Clément Ph, Lumer G (eds). Lecture notes in pure and applied mathematics vol. 155, Dekker, New York, pp 91-100
    • (1993) Lecture Notes in Pure and Applied Mathematics , vol.155 , pp. 91-100
    • Da Prato, G.1    Iannelli, M.2
  • 5
    • 0022787105 scopus 로고
    • The linear quadratic optimal control problem with delays in state and control variables: A state space approach
    • Delfour MC (1986) The linear quadratic optimal control problem with delays in state and control variables: A state space approach. SIAM J Control Optim 24:835-883
    • (1986) SIAM J Control Optim , vol.24 , pp. 835-883
    • Delfour, M.C.1
  • 6
    • 0023400061 scopus 로고
    • State space theory of linear time invariant systems with delays in state, control and observation variables, Part I
    • Delfour MC, Karrakchou J (1987) State space theory of linear time invariant systems with delays in state, control and observation variables, Part I. J Math Anal Appl 125:361-399
    • (1987) J Math Anal Appl , vol.125 , pp. 361-399
    • Delfour, M.C.1    Karrakchou, J.2
  • 7
    • 0023400648 scopus 로고
    • State space theory of linear time invariant systems with delays in state, control and observation variables, Part II
    • Delfour MC, Karrakchou J (1987) State space theory of linear time invariant systems with delays in state, control and observation variables, Part II. J Math Anal Appl 125:400-450
    • (1987) J Math Anal Appl , vol.125 , pp. 400-450
    • Delfour, M.C.1    Karrakchou, J.2
  • 8
    • 0042911929 scopus 로고    scopus 로고
    • Least square control problems in nonreflexive spaces
    • Desch W, Milota J, Schappacher W (2001) Least square control problems in nonreflexive spaces. Semigroup Forum 62:337-357
    • (2001) Semigroup Forum , vol.62 , pp. 337-357
    • Desch, W.1    Milota, J.2    Schappacher, W.3
  • 9
    • 0003636817 scopus 로고    scopus 로고
    • One-parameter semigroups for linear evolution equations
    • Springer, Berlin Heidelberg New York
    • Engel K, Nagel R (2000) One-parameter semigroups for linear evolution equations. Springer, Berlin Heidelberg New York
    • (2000)
    • Engel, K.1    Nagel, R.2
  • 10
    • 23744505010 scopus 로고    scopus 로고
    • 0-semigroups in Banach spaces and applications
    • 0-semigroups in Banach spaces and applications. Semigroup Forum 70:451-465
    • (2005) Semigroup Forum , vol.70 , pp. 451-465
    • Hadd, S.1
  • 11
    • 0003492055 scopus 로고
    • Introduction to functional differential equations
    • Springer, Berlin Heidelberg New York
    • Hale JK, Verduyn Lunel SM (1993) Introduction to functional differential equations. Springer, Berlin Heidelberg New York
    • (1993)
    • Hale, J.K.1    Verduyn Lunel, S.M.2
  • 12
    • 0003519331 scopus 로고
    • Mathematical theory of age-structured population dynamics
    • Giadini Editori e Stampatori in Pisa
    • Iannelli M (1994) Mathematical theory of age-structured population dynamics. Giadini Editori e Stampatori in Pisa
    • (1994)
    • Iannelli, M.1
  • 13
    • 0020186371 scopus 로고
    • Quadratic control of evolution equations with delays in control
    • Ichikawa A (1982) Quadratic control of evolution equations with delays in control. SIAM J Control Optim 20:645-668
    • (1982) SIAM J Control Optim , vol.20 , pp. 645-668
    • Ichikawa, A.1
  • 14
    • 0000547948 scopus 로고
    • The linear quadratic control problem for retarded systems with delays in control and observation
    • Pritchard AJ, Salamon D (1985) The linear quadratic control problem for retarded systems with delays in control and observation. IMA J Control Inform 2:335-362
    • (1985) IMA J Control Inform , vol.2 , pp. 335-362
    • Pritchard, A.J.1    Salamon, D.2
  • 15
    • 0004116414 scopus 로고
    • Real and complex analysis
    • McGraw-Hill, New York
    • Rudin W (1970) Real and complex analysis. McGraw-Hill, New York
    • (1970)
    • Rudin, W.1
  • 16
    • 0003778985 scopus 로고
    • Control and observation of neutral systems
    • Pitman, Boston
    • Salamon D (1984) Control and observation of neutral systems. Pitman, Boston
    • (1984)
    • Salamon, D.1
  • 17
    • 84967773649 scopus 로고
    • Infinite-dimentional linear system with unbounded control and observation: A functional analytic approach
    • Salamon D (1987) Infinite-dimentional linear system with unbounded control and observation: A functional analytic approach. Trans Am Math Soc 300:383-431
    • (1987) Trans Am Math Soc , vol.300 , pp. 383-431
    • Salamon, D.1
  • 18
    • 0003183926 scopus 로고
    • Realization theory in Hilbert spaces
    • Salamon D (1989) Realization theory in Hilbert spaces. Math Syst Theor 21:147-164
    • (1989) Math Syst Theor , vol.21 , pp. 147-164
    • Salamon, D.1
  • 19
    • 0004123894 scopus 로고    scopus 로고
    • Well-posed linear systems. Part I
    • Cambridge University Press, Cambridge
    • Staffans OJ (2004) Well-posed linear systems. Part I. General theory. Cambridge University Press, Cambridge
    • (2004) General Theory
    • Staffans, O.J.1
  • 20
    • 0019397562 scopus 로고
    • The infinite time quadratic control problem for linear systems with state and control delays: An evolution equation approach
    • Vinter RB, Kwong RH (1981) The infinite time quadratic control problem for linear systems with state and control delays: An evolution equation approach. SIAM J Control Optim 19:139-153
    • (1981) SIAM J Control Optim , vol.19 , pp. 139-153
    • Vinter, R.B.1    Kwong, R.H.2
  • 21
    • 0004017994 scopus 로고
    • Theory of nonlinear age-dependent population dynamics
    • Dekker, New York
    • Webb GF (1985) Theory of nonlinear age-dependent population dynamics. Dekker, New York
    • (1985)
    • Webb, G.F.1
  • 22
    • 51249170884 scopus 로고
    • Admissible observation operators for linear semigoups
    • Weiss G (1989) Admissible observation operators for linear semigoups. Isr J Math 65:17-43
    • (1989) Isr J Math , vol.65 , pp. 17-43
    • Weiss, G.1
  • 23
    • 0024663157 scopus 로고
    • Admissibility of unbounded control operators
    • Weiss G (1989) Admissibility of unbounded control operators. SIAM J Control Optim 27:527-545
    • (1989) SIAM J Control Optim , vol.27 , pp. 527-545
    • Weiss, G.1
  • 24
    • 0000518025 scopus 로고
    • The representation of regular linear systems on Hilbert spaces
    • In: Kappel F, Kunisch K, Schappacher W (eds) Birkhäuser
    • Weiss G (1989) The representation of regular linear systems on Hilbert spaces. In: Kappel F, Kunisch K, Schappacher W (eds) Control and estimation of distributed parameter systems (Proceedings Vorau 1988), Birkhäuser, pp 401-416
    • (1989) Control and Estimation of Distributed Parameter Systems (Proceedings Vorau 1988) , pp. 401-416
    • Weiss, G.1
  • 25
    • 84966260365 scopus 로고
    • Transfer functions of regular linear systems. Part I: Characterization of regularity
    • Weiss G (1994) Transfer functions of regular linear systems. Part I: characterization of regularity. Trans Am Math Soc 342:827-854
    • (1994) Trans Am Math Soc , vol.342 , pp. 827-854
    • Weiss, G.1
  • 26
    • 0001788805 scopus 로고
    • Regular linear systems with feedback
    • Weiss G (1994) Regular linear systems with feedback. Math Control Signal Syst 7:23-57
    • (1994) Math Control Signal Syst , vol.7 , pp. 23-57
    • Weiss, G.1
  • 27
    • 0003345730 scopus 로고    scopus 로고
    • Theory and Applications of Partial Functional Differential Equations
    • Springer, Berlin Heidelberg New York
    • Wu J (1996) Theory and Applications of Partial Functional Differential Equations. App Math Sci, vol. 119. Springer, Berlin Heidelberg New York
    • (1996) App Math Sci , vol.119
    • Wu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.