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Volumn 75, Issue 4, 1987, Pages 478-497

A Unified Structural Interpretation of Some Well-Known Stability-Test Procedures for Linear Systems

Author keywords

[No Author keywords available]

Indexed keywords

TRANSFER FUNCTIONS;

EID: 0023329572     PISSN: 00189219     EISSN: 15582256     Source Type: Journal    
DOI: 10.1109/PROC.1987.13756     Document Type: Article
Times cited : (40)

References (39)
  • 2
    • 0001440029 scopus 로고
    • On the conditions under which an equation has only roots with negative real parts
    • A. Hurwitz, “On the conditions under which an equation has only roots with negative real parts,” Mathematische Annalen, vol. 46, pp. 273-284, 1895.
    • (1895) Mathematische Annalen , vol.46 , pp. 273-284
    • Hurwitz, A.1
  • 4
    • 84941455741 scopus 로고
    • Uber potenzreihen, die in innern des einheits-kreises basehrankt sind
    • I. Schur, “Uber potenzreihen, die in innern des einheits-kreises basehrankt sind,” J. fur Mathematik, vol. 147, pp. 205-232,1917.
    • (1917) J. fur Mathematik , vol.147 , pp. 205-232
    • Schur, I.1
  • 5
    • 0001065170 scopus 로고
    • Uber die anzahl der wurzeln einer algebraischen gleichung in einem kreise
    • A. Cohn, “Uber die anzahl der wurzeln einer algebraischen gleichung in einem kreise,” Math. Z., vol. 14, pp. 110–148, 1922.
    • (1922) Math. Z. , vol.14 , pp. 110-148
    • Cohn, A.1
  • 8
    • 0016094012 scopus 로고
    • A simple test for zeros of a complex polynomial in a sector
    • Aug.
    • B. D. O. Anderson, N. K. Bose, and E. I. Jury, “A simple test for zeros of a complex polynomial in a sector,” IEEE Trans. Automat. Contr., vol. AC-19, pp. 437–438, Aug. 1974.
    • (1974) IEEE Trans. Automat. Contr. , vol.AC-19 , pp. 437-438
    • Anderson, B.D.O.1    Bose, N.K.2    Jury, E.I.3
  • 11
    • 0021405278 scopus 로고
    • Low passband sensitivity digital filters: A generalized viewpoint and synthesis procedures
    • Apr.
    • P. P. Vaidyanathan and S. K. Mitra, “Low passband sensitivity digital filters: A generalized viewpoint and synthesis procedures,” Proc. IEEE, vol. 72, pp. 404–423, Apr. 1984.
    • (1984) Proc. IEEE , vol.72 , pp. 404-423
    • Vaidyanathan, P.P.1    Mitra, S.K.2
  • 12
    • 0022086914 scopus 로고
    • A general theory and synthesis procedure for low-sensitivity active RC filters
    • July
    • S. K. Mitra, P. P. Vaidyanathan, and B. D. O. Anderson, “A general theory and synthesis procedure for low-sensitivity active RC filters,” IEEE Trans. Circuits Syst., vol. CAS-32, pp. 687–699, July 1985.
    • (1985) IEEE Trans. Circuits Syst. , vol.CAS-32 , pp. 687-699
    • Mitra, S.K.1    Vaidyanathan, P.P.2    Anderson, B.D.O.3
  • 13
    • 0022091228 scopus 로고
    • A unified approach to orthogonal digital filters and wave digital filters based on LBR two-pair extrac-tion
    • July
    • P. P. Vaidyanathan, “A unified approach to orthogonal digital filters and wave digital filters based on LBR two-pair extrac-tion,” IEEE Trans. Circuits Syst., vol. CAS-32, pp. 673–686, July 1985.
    • (1985) IEEE Trans. Circuits Syst. , vol.CAS-32 , pp. 673-686
    • Vaidyanathan, P.P.1
  • 14
    • 0015714973 scopus 로고
    • Digital lattice and ladder filter synthesis
    • Dec.
    • A. H. Gray, Jr. and J. D. Markel, “Digital lattice and ladder filter synthesis,” IEEE Trans. Audio Electroacoust., vol. AU-21, no. 6, pp. 491–500, Dec. 1973.
    • (1973) IEEE Trans. Audio Electroacoust. , vol.AU-21 , Issue.6 , pp. 491-500
    • Gray, A.H.1    Markel, J.D.2
  • 16
    • 77954564179 scopus 로고
    • A general theory and syn-thesis procedure for low sensitivity digital filter structures
    • Dep. Elec. Comput. Eng., Univ. California, Santa Barbara
    • P. P. Vaidyanathan and S. K. Mitra, “A general theory and syn-thesis procedure for low sensitivity digital filter structures,” Tech. Rep. 82–09, Dep. Elec. Comput. Eng., Univ. California, Santa Barbara, 1982.
    • (1982) Tech. Rep. 82–09
    • Vaidyanathan, P.P.1    Mitra, S.K.2
  • 17
    • 0019601242 scopus 로고
    • A general theory for matrix root-clustering in subregions of the complex plane
    • Aug.
    • S. Gutman and E. I. Jury, “A general theory for matrix root-clustering in subregions of the complex plane,” IEEE Trans. Automat. Contr., vol. AC-26, pp. 853–863, Aug. 1981.
    • (1981) IEEE Trans. Automat. Contr. , vol.AC-26 , pp. 853-863
    • Gutman, S.1    Jury, E.I.2
  • 18
    • 0016511966 scopus 로고
    • An improved test for the zeros of a poly-nomial in a sector
    • June
    • G. H. Hostetter, “An improved test for the zeros of a poly-nomial in a sector,” IEEE Trans. Automat. Contr., vol. AC-20, pp. 433–434, June 1975.
    • (1975) IEEE Trans. Automat. Contr. , vol.AC-20 , pp. 433-434
    • Hostetter, G.H.1
  • 19
    • 0003792312 scopus 로고
    • Englewood Cliffs, NJ: Prentice-Hall, Hall
    • T. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice-Hall, Hall, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 20
    • 0022201285 scopus 로고
    • A general family of multivariable digital lattice filters
    • Dec.
    • P. P. Vaidyanathan and S. K. Mitra, “A general family of multivariable digital lattice filters,” IEEE Trans. Circuits Syst., vol. CAS-32, pp. 1234–1245, Dec. 1985.
    • (1985) IEEE Trans. Circuits Syst. , vol.CAS-32 , pp. 1234-1245
    • Vaidyanathan, P.P.1    Mitra, S.K.2
  • 21
  • 22
    • 0019263707 scopus 로고
    • Generalized Rouche's theorem and its applications to multivariate autoregressions
    • Dec.
    • Y. Monden and S. Arimoto, “Generalized Rouche's theorem and its applications to multivariate autoregressions,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-28, pp. 733–738, Dec. 1980.
    • (1980) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-28 , pp. 733-738
    • Monden, Y.1    Arimoto, S.2
  • 23
    • 84938021829 scopus 로고
    • On the factorization of rational matrices
    • July
    • D. C. Youla, “On the factorization of rational matrices,” IRE Trans. Informat. Theory, vol. IT-7, pp. 172–189, July 1961.
    • (1961) IRE Trans. Informat. Theory , vol.IT-7 , pp. 172-189
    • Youla, D.C.1
  • 26
    • 0019551389 scopus 로고
    • On the role of the Nev-anlinna-Pick problem in circuit and system theory
    • Ph. Delsarte, Y. Genin, and Y. Kamp, “On the role of the Nev-anlinna-Pick problem in circuit and system theory,” Int. J. Cir-cuit Theory vol. 9, 177-187, 1981.
    • (1981) Int. J. Cir-cuit Theory , vol.9 , pp. 177-187
    • Delsarte, Ph.1    Genin, Ph.2    Kamp, Ph.3
  • 27
    • 0020765615 scopus 로고
    • A note on stability and lattice filter real-izations
    • June
    • D. Williamson, “A note on stability and lattice filter real-izations,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-31, pp. 770–772, June 1983.
    • (1983) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-31 , pp. 770-772
    • Williamson, D.1
  • 28
    • 0001924086 scopus 로고
    • Interpolation with positive-real functions
    • Aug.
    • D. C. Youla, and M. Saito, “Interpolation with positive-real functions,” J. Franklin Inst., vol. 284, pp. 77–108, Aug. 1967.
    • (1967) J. Franklin Inst. , vol.284 , pp. 77-108
    • Youla, D.C.1    Saito, M.2
  • 29
    • 0000338056 scopus 로고
    • The multiplicative structure of J-contractive matrix functions
    • V. P. Potapov, “The multiplicative structure of J-contractive matrix functions,” in Amer. Math. Soc., Translation Ser. 2, vol. 15, pp. 131-243, 1960.
    • (1960) Amer. Math. Soc., Translation Ser. 2 , vol.15 , pp. 131-243
    • Potapov, V.P.1
  • 30
    • 0002575814 scopus 로고
    • The Nevanlinna-Pick problem for matrix-valued functions
    • Feb.
    • Ph. Delsarte, Y. Genin, and Y. Kamp, “The Nevanlinna-Pick problem for matrix-valued functions,” SIAM J. Appl. Math., vol. 3 6 , no. 1, pp. 47–61, Feb. 1979.
    • (1979) SIAM J. Appl. Math. , vol.36 , Issue.1 , pp. 47-61
    • Delsarte, Ph.1    Genin, Ph.2    Kamp, Ph.3
  • 31
    • 0347736687 scopus 로고
    • Generalization of Hurwitz, Nyquist, and Mikhailov stability criteria
    • Apr.
    • M. R. Stojic and D. D. Siljak, “Generalization of Hurwitz, Nyquist, and Mikhailov stability criteria,” IEEE Trans. Auto-mat. Contr., vol. AC-10, pp. 250–254, Apr. 1965.
    • (1965) IEEE Trans. Auto-mat. Contr. , vol.AC-10 , pp. 250-254
    • Stojic, M.R.1    Siljak, D.D.2
  • 32
    • 0015652322 scopus 로고
    • Algebraic criteria for positive realness relative to the unit circle
    • Aug.
    • D. D. Siljak, “Algebraic criteria for positive realness relative to the unit circle, "J. Franklin Inst., vol. 296, pp. 116–1 2 2, Aug. 1973.
    • (1973) J.Franklin Inst. , vol.296 , pp. 116-1122
    • Siljak, D.D.1
  • 33
    • 0000463168 scopus 로고
    • Routh's algorithm: A centennial survey
    • July
    • S. Barnett and D. D. Siljak, “Routh’s algorithm: A centennial survey,” SIAM Rev., vol. 19, no. 3, pp. 472–489, July 1977.
    • (1977) SIAM Rev. , vol.19 , pp. 472-489
    • Barnett, S.1    Siljak, D.D.2
  • 35
    • 0020197384 scopus 로고
    • Stability of a matrix polynomial in discrete sys-tems
    • Oct.
    • S. M. Ahn, “Stability of a matrix polynomial in discrete sys-tems,” IEEE Trans. Automat. Contr., vol. AC-27, pp. 1122–1124, Oct. 1982.
    • (1982) IEEE Trans. Automat. Contr. , vol.AC-27 , pp. 1122-1124
    • Ahn, S.M.1
  • 36
    • 0010733917 scopus 로고
    • Stability of matrix polynomials
    • B. D. O. Anderson and R. E. Bitmead, “Stability of matrix polynomials,” Int. J. Contr., vol. 26, pp. 235-247, 1977.
    • (1977) Int. J. Contr. , vol.26 , pp. 235-247
    • Anderson, B.D.O.1    Bitmead, R.E.2
  • 37
    • 0018006339 scopus 로고
    • Stability of multidimensional scalar and matrix polynomials
    • Sept.
    • E. I. Jury, “Stability of multidimensional scalar and matrix polynomials,” Proc. IEEE, vol. 66, pp. 1018–1047, Sept. 1978.
    • (1978) Proc. IEEE , vol.66 , pp. 1018-1047
    • Jury, E.I.1
  • 38
    • 0022045622 scopus 로고
    • A new general Routh-like algorithm to deter-mine the number of RHP roots of a real or complex poly-nomial
    • Apr.
    • S. D. Agashe, “A new general Routh-like algorithm to deter-mine the number of RHP roots of a real or complex poly-nomial,” IEEE Trans. Automat. Contr., vol. AC-30, pp. 406–409, Apr. 1985.
    • (1985) IEEE Trans. Automat. Contr. , vol.AC-30 , pp. 406-409
    • Agashe, S.D.1
  • 39
    • 0001651635 scopus 로고
    • Stability independent and dependent delay for delay differential systems
    • Sept.
    • D. Hertz, E. I. Jury, and E. Zeheb, “Stability independent and dependent delay for delay differential systems,” J. Franklin Inst., vol. 318, pp. 143–150, Sept. 1984.
    • (1984) J. Franklin Inst. , vol.318 , pp. 143-150
    • Hertz, D.1    Jury, E.I.2    Zeheb, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.