메뉴 건너뛰기




Volumn , Issue , 2007, Pages 1-517

A linear systems primer

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84892255565     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-0-8176-4661-5     Document Type: Book
Times cited : (246)

References (115)
  • 5
    • 84892281537 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • R. A. DeCarlo, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1989.
    • (1989) Linear Systems
    • De Carlo, R.A.1
  • 7
    • 0003792312 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 17
    • 84892281537 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • R. A. DeCarlo, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1989.
    • (1989) Linear Systems
    • De Carlo, R.A.1
  • 19
    • 0003980507 scopus 로고
    • Springer-Verlag, New York, NY
    • W. Hahn, Stability of Motion, Springer-Verlag, New York, NY, 1967.
    • (1967) Stability of Motion
    • Hahn, W.1
  • 20
    • 0003792312 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 24
    • 0001525304 scopus 로고
    • Problème ǵeńerale de la stabilit́e de mouvement
    • M. A. Liapounoff, "Problème ǵeńerale de la stabilit́e de mouvement", Ann. Fac. Sci. Toulouse, Vol. 9, 1907, pp. 203-474.
    • (1907) Ann. Fac. Sci. Toulouse , vol.9 , pp. 203-474
    • Liapounoff, M.A.1
  • 25
    • 0013396881 scopus 로고
    • Translation of a paper published in, Kharkow
    • (Translation of a paper published in Comm. Soc. Math., Kharkow 1893
    • (1893) Comm. Soc. Math.
  • 26
    • 84892339560 scopus 로고
    • Princeton, NJ
    • reprinted in Ann. Math. Studies, Vol. 17, 1949, Princeton, NJ).
    • (1949) Ann. Math. Studies , vol.17
  • 27
    • 0030172944 scopus 로고    scopus 로고
    • Stability: The common thread in the evolution of feedback control
    • A. N. Michel, "Stability: the common thread in the evolution of feedback control", IEEE Control Systems, Vol. 16, 1996, pp. 50-60.
    • (1996) IEEE Control Systems , vol.16 , pp. 50-60
    • Michel, A.N.1
  • 32
    • 84944817889 scopus 로고
    • 2-boundedness of solutions of nonlinear functional equations
    • 2-boundedness of solutions of nonlinear functional equations", Bell Syst. Tech. J., Vol. 43, 1964, pp. 1581-1599.
    • (1964) Bell Syst. Tech. J. , vol.43 , pp. 1581-1599
    • Sandberg, I.W.1
  • 33
    • 0001513227 scopus 로고
    • A frequency-domain condition for stability of feedback systems containing a single time-varying nonlinear element
    • I. W. Sandberg, "A frequency-domain condition for stability of feedback systems containing a single time-varying nonlinear element", Bell Syst. Tech. J., Vol. 43, 1964, pp. 1601-1608.
    • (1964) Bell Syst. Tech. J. , vol.43 , pp. 1601-1608
    • Sandberg, I.W.1
  • 34
    • 84944814967 scopus 로고
    • Some results on the theory of physical systems governed by nonlinear functional equations
    • I. W. Sandberg, "Some results on the theory of physical systems governed by nonlinear functional equations", Bell Syst. Tech. J., Vol. 44, 1965, pp. 871-898.
    • (1965) Bell Syst. Tech. J. , vol.44 , pp. 871-898
    • Sandberg, I.W.1
  • 35
  • 36
    • 84938017582 scopus 로고
    • On the input-output stability of time-varying nonlinear feedback systems, Part I
    • G. Zames, "On the input-output stability of time-varying nonlinear feedback systems, Part I", IEEE Trans. on Automat. Contr., Vol. 11, 1966, pp. 228-238.
    • (1966) IEEE Trans. on Automat. Contr. , vol.11 , pp. 228-238
    • Zames, G.1
  • 37
    • 84913458365 scopus 로고
    • On the input-output stability of time-varying nonlinear feedback systems, Part II
    • G. Zames, "On the input-output stability of time-varying nonlinear feedback systems, Part II", IEEE Trans. on Automat. Contr., Vol. 11, 1966, pp. 465-476.
    • (1966) IEEE Trans. on Automat. Contr. , vol.11 , pp. 465-476
    • Zames, G.1
  • 39
    • 0000796967 scopus 로고
    • Controllability and observability in multivariable control systems
    • E. Gilbert, "Controllability and observability in multivariable control systems", SIAM J. Control, Vol. 1, pp. 128-151, 1963.
    • (1963) SIAM J. Control , vol.1 , pp. 128-151
    • Gilbert, E.1
  • 40
    • 0003792312 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 41
    • 0005829796 scopus 로고
    • Optimal nonlinear control of saturating systems by intermittent control
    • R. E. Kalman, "Optimal nonlinear control of saturating systems by intermittent control", IRE WESCON Rec., Sec. IV, pp. 130-135, 1957.
    • (1957) IRE WESCON Rec., Sec. IV , pp. 130-135
    • Kalman, R.E.1
  • 43
    • 0000383132 scopus 로고
    • Mathematical descriptions of linear systems
    • R. E. Kalman, "Mathematical descriptions of linear systems", SIAM J. Control, Vol. 1, pp. 152-192, 1963.
    • (1963) SIAM J. Control , vol.1 , pp. 152-192
    • Kalman, R.E.1
  • 45
    • 0039832539 scopus 로고
    • On a new problem of stability for control systems
    • V. M. Popov, "On a new problem of stability for control systems", Autom. Remote Control, Vol. 24, No. 1, pp. 1-23, 1963.
    • (1963) Autom. Remote Control , vol.24 , Issue.1 , pp. 1-23
    • Popov, V.M.1
  • 48
    • 0000796967 scopus 로고
    • Controllability and observability in multivariable control systems
    • E. Gilbert, "Controllability and observability in multivariable control systems", SIAM J. Control, Vol. 1, pp. 128-151, 1963.
    • (1963) SIAM J. Control , vol.1 , pp. 128-151
    • Gilbert, E.1
  • 49
    • 0001676463 scopus 로고
    • Controllability and observability conditions of linear autonomous systems
    • M. L. J. Hautus, "Controllability and observability conditions of linear autonomous systems", Proc. Koninklijke Akademie van Wetenschappen, Serie A, Vol. 72, pp. 443-448, 1969.
    • (1969) Proc. Koninklijke Akademie van Wetenschappen, Serie A , vol.72 , pp. 443-448
    • Hautus, M.L.J.1
  • 50
    • 0003792312 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 51
    • 0000383132 scopus 로고
    • Mathematical descriptions of linear systems
    • R. E. Kalman, "Mathematical descriptions of linear systems", SIAM J. Control, Vol. 1, pp. 152-192, 1963.
    • (1963) SIAM J. Control , vol.1 , pp. 152-192
    • Kalman, R.E.1
  • 52
    • 0043263356 scopus 로고
    • On the computation of the reachable/observable canonical form
    • R. E. Kalman, "On the computation of the reachable/observable canonical form", SIAM J. Control Optimization, Vol. 20, no. 2, pp. 258-260, 1982.
    • (1982) SIAM J. Control Optimization , vol.20 , Issue.2 , pp. 258-260
    • Kalman, R.E.1
  • 53
    • 0003100810 scopus 로고
    • Kronecker invariants and feedback
    • L. Weiss, ed., Academic Press, New York, NY
    • R. E. Kalman, "Kronecker invariants and feedback", in Ordinary Differential Equations, L. Weiss, ed., pp. 459-471, Academic Press, New York, NY, 1972.
    • (1972) Ordinary Differential Equations , pp. 459-471
    • Kalman, R.E.1
  • 54
    • 84912459395 scopus 로고
    • Canonical forms for linear multivariable systems
    • D. G. Luenberger, "Canonical forms for linear multivariable systems", IEEE Trans. Auto. Control, Vol. 12, pp. 290-293, 1967.
    • (1967) IEEE Trans. Auto. Control , vol.12 , pp. 290-293
    • Luenberger, D.G.1
  • 55
    • 0000253105 scopus 로고
    • Invariant description of linear, time-invariant controllable systems
    • V. M. Popov, "Invariant description of linear, time-invariant controllable systems", SIAM J. Control Optimization, Vol. 10, No. 2, pp. 252-264, 1972.
    • (1972) SIAM J. Control Optimization , vol.10 , Issue.2 , pp. 252-264
    • Popov, V.M.1
  • 57
    • 0003728020 scopus 로고    scopus 로고
    • Second Ed., Prentice-Hall, Englewood Cliffs, NJ
    • W. J. Rugh, Linear System Theory, Second Ed., Prentice-Hall, Englewood Cliffs, NJ, 1996.
    • (1996) Linear System Theory
    • Rugh, W.J.1
  • 60
    • 0000796967 scopus 로고
    • Controllability and observability in multivariable control systems
    • E. Gilbert, "Controllability and observability in multivariable control systems", SIAM J. Control, Vol. 1, pp. 128-151, 1963.
    • (1963) SIAM J. Control , vol.1 , pp. 128-151
    • Gilbert, E.1
  • 61
    • 0003792312 scopus 로고
    • Prentice-Hall, Englewood, NJ
    • T. Kailath, Linear Systems, Prentice-Hall, Englewood, NJ, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 62
    • 0000383132 scopus 로고
    • Mathematical descriptions of linear systems
    • R. E. Kalman, "Mathematical descriptions of linear systems", SIAM J. Control, Vol. 1, pp. 152-192, 1963.
    • (1963) SIAM J. Control , vol.1 , pp. 152-192
    • Kalman, R.E.1
  • 63
    • 0039832539 scopus 로고
    • On a new problem of stability for control systems
    • V. M. Popov, "On a new problem of stability for control systems", Autom. Remote Control, pp. 1-23, Vol. 24, No. 1, 1963.
    • (1963) Autom. Remote Control , vol.24 , Issue.1 , pp. 1-23
    • Popov, V.M.1
  • 65
    • 0024751401 scopus 로고
    • Research on system zeros: A survey
    • C. B. Schrader and M. K. Sain, "Research on system zeros: a survey", Int. Journal of Control, Vol. 50, No. 4, pp. 1407-1433, 1989.
    • (1989) Int. Journal of Control , vol.50 , Issue.4 , pp. 1407-1433
    • Schrader, C.B.1    Sain, M.K.2
  • 70
    • 0000796967 scopus 로고
    • Controllability and observability in multivariable control systems
    • E. Gilbert, "Controllability and observability in multivariable control systems", SIAM J. Control, Vol. 1, pp. 128-151, 1963.
    • (1963) SIAM J. Control , vol.1 , pp. 128-151
    • Gilbert, E.1
  • 71
    • 0003792312 scopus 로고
    • Prentice Hall, Englewood Cliffs, NJ
    • T. Kailath, Linear Systems, Prentice Hall, Englewood Cliffs, NJ, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 72
    • 0000383132 scopus 로고
    • Mathematical description of linear systems
    • R. E. Kalman, "Mathematical description of linear systems", SIAM J. Control, Vol. 1, pp. 152-192, 1963.
    • (1963) SIAM J. Control , vol.1 , pp. 152-192
    • Kalman, R.E.1
  • 74
    • 0018727610 scopus 로고
    • New results in realization theory for linear time-varying analytic systems
    • E. W. Kamen, "New results in realization theory for linear time-varying analytic systems", IEEE Trans. Auto. Control, Vol. AC-24, pp. 866-877, 1979.
    • (1979) IEEE Trans. Auto. Control , vol.AC-24 , pp. 866-877
    • Kamen, E.W.1
  • 75
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: Controllability, observability and model reduction
    • B. C. Moore, "Principal component analysis in linear systems: controllability, observability and model reduction", IEEE Trans. Auto. Control, Vol. AC-26, pp. 17-32, 1981.
    • (1981) IEEE Trans. Auto. Control , vol.AC-26 , pp. 17-32
    • Moore, B.C.1
  • 77
    • 0015207050 scopus 로고
    • Realization of linear dynamical systems
    • L. M. Silverman, "Realization of linear dynamical systems", IEEE Trans. Auto. Control, Vol. AC-16, pp. 554-567, 1971.
    • (1971) IEEE Trans. Auto. Control , vol.AC-16 , pp. 554-567
    • Silverman, L.M.1
  • 79
    • 0015368604 scopus 로고
    • Der Entwurf linearer Regelungssysteme im Zustandsraum
    • J. Ackermann, "Der Entwurf linearer Regelungssysteme im Zustandsraum", Regelungstechnik und Prozessdatenverarbeitung, Vol. 7, pp. 297-300, 1972.
    • (1972) Regelungstechnik und Prozessdatenverarbeitung , vol.7 , pp. 297-300
    • Ackermann, J.1
  • 82
    • 0017503127 scopus 로고
    • Arbitrary pole placement using linear output feedback compensation
    • P. J. Antsaklis and W. A. Wolovich, "Arbitrary pole placement using linear output feedback compensation", Int. J. Control, Vol. 25, No. 6, pp. 915-925, 1977.
    • (1977) Int. J. Control , vol.25 , Issue.6 , pp. 915-925
    • Antsaklis, P.J.1    Wolovich, W.A.2
  • 83
    • 0000586332 scopus 로고
    • Polynomial and rational matrix interpolation: Theory and control applications
    • August
    • P. J. Antsaklis and Z. Gao, "Polynomial and rational matrix interpolation: theory and control applications", Int. J. Control, Vol. 58, No. 2, pp. 349-404, August 1993.
    • (1993) Int. J. Control , vol.58 , Issue.2 , pp. 349-404
    • Antsaklis, P.J.1    Gao, Z.2
  • 85
    • 85012688561 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R. Bellman, Dynamic Programming, Princeton University Press, Princeton, NJ, 1957.
    • (1957) Dynamic Programming
    • Bellman, R.1
  • 88
    • 0003792312 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 91
    • 84886166390 scopus 로고
    • Observing the state of a linear system
    • D. G. Luenberger, "Observing the state of a linear system", IEEE Trans. Mil. Electron, Vol. MIL-8, pp. 74-80, 1964.
    • (1964) IEEE Trans. Mil. Electron , vol.MIL-8 , pp. 74-80
    • Luenberger, D.G.1
  • 92
    • 84938006533 scopus 로고
    • Observers for multivariable systems
    • D. G. Luenberger, "Observers for multivariable systems", IEEE Trans. Auto. Control, Vol. AC-11, pp. 190-199, 1966.
    • (1966) IEEE Trans. Auto. Control , vol.AC-11 , pp. 190-199
    • Luenberger, D.G.1
  • 93
    • 0015200604 scopus 로고
    • An introduction to observers
    • Dec.
    • D. G. Luenberger, "An introduction to observers", IEEE Trans. Auto. Control, Vol. AC-16, pp. 596-603, Dec. 1971.
    • (1971) IEEE Trans. Auto. Control , vol.AC-16 , pp. 596-603
    • Luenberger, D.G.1
  • 94
    • 0017007971 scopus 로고
    • On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment
    • Vol. AC-22, pp. 140-141, 1977 for the repeated eigenvalue case
    • B. C. Moore, "On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment", IEEE Trans. Auto. Control, Vol. AC-21, pp. 689-692, 1976; see also Vol. AC-22, pp. 140-141, 1977 for the repeated eigenvalue case.
    • (1976) IEEE Trans. Auto. Control , vol.AC-21 , pp. 689-692
    • Moore, B.C.1
  • 95
    • 0000174955 scopus 로고
    • Hyperstability and optimality of automatic systems with several control functions
    • V. M. Popov, "Hyperstability and optimality of automatic systems with several control functions", Rev. Roum. Sci. Tech. Ser. El ectrotech Energ., Vol. 9, pp. 629-690, 1964.
    • (1964) Rev. Roum. Sci. Tech. Ser. El Ectrotech Energ. , vol.9 , pp. 629-690
    • Popov, V.M.1
  • 98
    • 0142257371 scopus 로고
    • Control system synthesis by analogue computer based on the generalized linear feedback concept
    • Intern. Seminar, Brussels, Presses Acad́emiques Euroṕeennes, Bruxelles, 1961
    • J. Rissanen, "Control system synthesis by analogue computer based on the generalized linear feedback concept", in Proc. Symp. Analog Comp. Applied to the Study of Chem. Processes, pp. 1-13, Intern. Seminar, Brussels, 1960. Presses Acad́emiques Euroṕeennes, Bruxelles, 1961.
    • (1960) Proc. Symp. Analog Comp. Applied to the Study of Chem. Processes , pp. 1-13
    • Rissanen, J.1
  • 100
    • 0023289269 scopus 로고
    • The LQG/LTR procedure for multivariable feedback control design
    • February
    • G. Stein and M. Athans, "The LQG/LTR procedure for multivariable feedback control design", IEEE Trans. Auto. Control, Vol. AC-32, pp. 105-114, February, 1987.
    • (1987) IEEE Trans. Auto. Control , vol.AC-32 , pp. 105-114
    • Stein, G.1    Athans, M.2
  • 102
    • 84933381245 scopus 로고
    • On pole assigment in multi-input controllable linear systems
    • W. M. Wonham, "On pole assigment in multi-input controllable linear systems", IEEE Trans. Auto. Control, Vol. AC-12, pp. 660-665, 1967.
    • (1967) IEEE Trans. Auto. Control , vol.AC-12 , pp. 660-665
    • Wonham, W.M.1
  • 107
    • 84892281537 scopus 로고
    • Prentice Hall, Englewood Cli.s, NJ
    • R. A. DeCarlo, Linear Systems, Prentice Hall, Englewood Cli.s, NJ, 1989.
    • (1989) Linear Systems
    • De Carlo, R.A.1
  • 108
    • 0004131235 scopus 로고
    • Chelsea Publications, New York, NY
    • F. R. Gantmacher, Theory of Matrices, Vols. I and II, Chelsea Publications, New York, NY, 1959.
    • (1959) Theory of Matrices , vol.1-2
    • Gantmacher, F.R.1
  • 109


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.