메뉴 건너뛰기




Volumn 45, Issue 1, 2006, Pages 246-272

An evolution equation approach to nonautonomous linear systems with state, input, and output delays

Author keywords

Delay systems; Lebesgue extension; Neutral equations; Nonautonomous delay equations; Nonautonomous regular systems; Representation

Indexed keywords

LINEAR EQUATIONS; LINEAR SYSTEMS; OPTIMIZATION;

EID: 33847047215     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/040612178     Document Type: Article
Times cited : (24)

References (32)
  • 1
    • 84972536242 scopus 로고
    • Evolution operators and strong solutions of abstract linear parabolic equations
    • P. ACQUISTAPACE, Evolution operators and strong solutions of abstract linear parabolic equations, Differential Integral Equations, 1 (1988), pp. 433-457.
    • (1988) Differential Integral Equations , vol.1 , pp. 433-457
    • ACQUISTAPACE, P.1
  • 2
    • 0002417157 scopus 로고
    • A unified approach to abstract linear nonautonomous parabolic equations
    • P. ACQUISTAPACE AND B. TERRENI, A unified approach to abstract linear nonautonomous parabolic equations, Rend. Sem. Mat. Univ. Padova, 87 (1987), pp. 47-107.
    • (1987) Rend. Sem. Mat. Univ. Padova , vol.87 , pp. 47-107
    • ACQUISTAPACE, P.1    TERRENI, B.2
  • 5
    • 0013480872 scopus 로고
    • Well-posedness, stabilizability and admissibility for Pritchard-Salamon systems
    • R. F. CURTAIN, H. LOGEMANN, S. TOWNLEY, AND H. ZWART, Well-posedness, stabilizability and admissibility for Pritchard-Salamon systems, J. Math. Systems Estim. Control, 4 (1994), pp. 1-38.
    • (1994) J. Math. Systems Estim. Control , vol.4 , pp. 1-38
    • CURTAIN, R.F.1    LOGEMANN, H.2    TOWNLEY, S.3    ZWART, H.4
  • 7
    • 0022787105 scopus 로고
    • The linear quadratic optimal control problem with delays in state and control variables: A state space approach
    • M. C. DELFOUR, The linear quadratic optimal control problem with delays in state and control variables: A state space approach, SIAM J. Control Optim., 24 (1986), pp. 835-883.
    • (1986) SIAM J. Control Optim , vol.24 , pp. 835-883
    • DELFOUR, M.C.1
  • 9
    • 0037141620 scopus 로고    scopus 로고
    • A characteristic equation for nonautonomous partial functional differential equations
    • G. GÜHRING, F. RÄBIGER, AND R. SCHNAUBELT, A characteristic equation for nonautonomous partial functional differential equations, J. Differential Equations, 181 (2002), pp. 439-462.
    • (2002) J. Differential Equations , vol.181 , pp. 439-462
    • GÜHRING, G.1    RÄBIGER, F.2    SCHNAUBELT, R.3
  • 10
    • 28544443428 scopus 로고    scopus 로고
    • Regular linear systems governed by systems with state, input and output delays
    • S. HADD AND A. IDRISSI, Regular linear systems governed by systems with state, input and output delays, IMA J. Control Information, 22 (2005), pp. 423-439.
    • (2005) IMA J. Control Information , vol.22 , pp. 423-439
    • HADD, S.1    IDRISSI, A.2
  • 11
    • 33847075255 scopus 로고    scopus 로고
    • The regular linear systems associated to the shift semi-groups and application to control delay systems
    • to appear
    • S. HADD, A. IDRISSI, AND A. RHANDI, The regular linear systems associated to the shift semi-groups and application to control delay systems, Math. Control Signals Systems, to appear.
    • Math. Control Signals Systems
    • HADD, S.1    IDRISSI, A.2    RHANDI, A.3
  • 14
    • 0028538786 scopus 로고
    • Robust stability of linear evolution operators on Banach spaces
    • D. HINRICHSEN AND A. J. PRITCHARD, Robust stability of linear evolution operators on Banach spaces, SIAM J. Control Optim., 32 (1994), pp. 1503-1541.
    • (1994) SIAM J. Control Optim , vol.32 , pp. 1503-1541
    • HINRICHSEN, D.1    PRITCHARD, A.J.2
  • 15
    • 0020186371 scopus 로고
    • Quadratic control of evolution equations with delays in control
    • A. ICHIKAWA, Quadratic control of evolution equations with delays in control, SIAM J. Control Optim., 20 (1982), pp. 645-668.
    • (1982) SIAM J. Control Optim , vol.20 , pp. 645-668
    • ICHIKAWA, A.1
  • 16
    • 0041653699 scopus 로고
    • Ph.D. thesis, Fachbereich Mathematik/Informatik, Universität Bremen, Bremen, Germany
    • B. JACOB, Time-Varying Infinite Dimensional State-Space Systems, Ph.D. thesis, Fachbereich Mathematik/Informatik, Universität Bremen, Bremen, Germany, 1995.
    • (1995) Time-Varying Infinite Dimensional State-Space Systems
    • JACOB, B.1
  • 17
    • 33847068563 scopus 로고    scopus 로고
    • B. JACOB, Optimal control of time-varying well-posed linear systems on finite time horizon, in Mathematical Theory of Networks and Systems, Proceedings of the MTNS-98, A. Beghi, I. Finesso, and G. Picci, eds., II Polografo, Padova, Italy, 1998, pp. 483-486.
    • B. JACOB, Optimal control of time-varying well-posed linear systems on finite time horizon, in Mathematical Theory of Networks and Systems, Proceedings of the MTNS-98, A. Beghi, I. Finesso, and G. Picci, eds., II Polografo, Padova, Italy, 1998, pp. 483-486.
  • 18
    • 0043156573 scopus 로고
    • Robust stability of infinite dimensional time-varying systems with respect to non-linear perturbation
    • B. JACOB, V. DRAGAN, AND A. J. PRITCHARD, Robust stability of infinite dimensional time-varying systems with respect to non-linear perturbation, Integral Equations Operator Theory, 22 (1995), pp. 440-462.
    • (1995) Integral Equations Operator Theory , vol.22 , pp. 440-462
    • JACOB, B.1    DRAGAN, V.2    PRITCHARD, A.J.3
  • 19
    • 84972529352 scopus 로고
    • Integration of the equation of evolution in Banach space
    • T. KATO, Integration of the equation of evolution in Banach space, J. Math. Soc. Japan, 5 (1953), pp. 208-234.
    • (1953) J. Math. Soc. Japan , vol.5 , pp. 208-234
    • KATO, T.1
  • 20
    • 0000744112 scopus 로고
    • Linear evolution equations of "hyperbolic" type
    • T. KATO, Linear evolution equations of "hyperbolic" type, J. Fac. Sci. Univ. Tokyo, 25 (1970), pp. 241-258.
    • (1970) J. Fac. Sci. Univ. Tokyo , vol.25 , pp. 241-258
    • KATO, T.1
  • 23
    • 0000547948 scopus 로고
    • The linear quadratic control problem for retarded systems with delays in control and observation
    • A. J. PRITCHARD AND D. SALAMON, The linear quadratic control problem for retarded systems with delays in control and observation, IMA J. Control Inform., 2 (1985), pp. 335-362.
    • (1985) IMA J. Control Inform , vol.2 , pp. 335-362
    • PRITCHARD, A.J.1    SALAMON, D.2
  • 24
    • 84972556206 scopus 로고
    • Remarks on the equations in a Banach space
    • H. TANABE, Remarks on the equations in a Banach space, Osaka Math. J., 112 (1960), pp. 145-166.
    • (1960) Osaka Math. J , vol.112 , pp. 145-166
    • TANABE, H.1
  • 25
    • 84967773649 scopus 로고
    • Infinite-dimentional linear system with unbounded control and observation: A functional analytic approach
    • D. SALAMON, Infinite-dimentional linear system with unbounded control and observation: A functional analytic approach, Trans. Amer. Math. Soc., 300 (1987), pp. 383-431.
    • (1987) Trans. Amer. Math. Soc , vol.300 , pp. 383-431
    • SALAMON, D.1
  • 26
    • 0041926712 scopus 로고    scopus 로고
    • Feedback for nonautonomous regular linear systems
    • R. SCHNAUBELT, Feedback for nonautonomous regular linear systems, SIAM J. Control Optim., 41 (2002), pp. 1141-1165.
    • (2002) SIAM J. Control Optim , vol.41 , pp. 1141-1165
    • SCHNAUBELT, R.1
  • 27
    • 27844450510 scopus 로고    scopus 로고
    • Asymptotic behaviour of parabolic nonautonomous evolution equations
    • M. Iannelli, R. Nagel, S. Piazzera, eds, Springer, New York
    • R. SCHNAUBELT, Asymptotic behaviour of parabolic nonautonomous evolution equations, in Functional Analytic Methods for Evolution Equations 1815, M. Iannelli, R. Nagel, S. Piazzera, eds., Springer, New York, 2004, pp. 401-472.
    • (2004) Functional Analytic Methods for Evolution Equations 1815 , pp. 401-472
    • SCHNAUBELT, R.1
  • 29
    • 0019397562 scopus 로고
    • The infinite time quadratic control problem for linear systems with state and control delays: An evolution equation approach
    • R. B. VINTER AND R. H. KWONG, The infinite time quadratic control problem for linear systems with state and control delays: An evolution equation approach, SIAM J. Control Optim., 19 (1981), pp. 139-153.
    • (1981) SIAM J. Control Optim , vol.19 , pp. 139-153
    • VINTER, R.B.1    KWONG, R.H.2
  • 30
    • 51249170884 scopus 로고
    • Admissible observation operators for linear semigoups
    • G. WEISS, Admissible observation operators for linear semigoups, Israel J. Math., 65 (1989), pp. 17-43.
    • (1989) Israel J. Math , vol.65 , pp. 17-43
    • WEISS, G.1
  • 31
    • 0024663157 scopus 로고
    • Admissibility of unbounded control operators
    • G. WEISS, Admissibility of unbounded control operators, SIAM J. Control Optim., 27 (1989), pp. 527-545.
    • (1989) SIAM J. Control Optim , vol.27 , pp. 527-545
    • WEISS, G.1
  • 32
    • 0001788805 scopus 로고
    • Regular linear systems with feedback
    • G. WEISS, Regular linear systems with feedback, Math. Control Signals Systems, 7 (1994), pp. 23-57.
    • (1994) Math. Control Signals Systems , vol.7 , pp. 23-57
    • WEISS, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.