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The properties of low pas first order LTV filters

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper analysis of impulsive response and stability conditions of first order linear parametric filters has been carried out. The parameters of these filters have been described by some non-periodic functions. The affiliation of models of LTV (linear time-varying) filters to class of frozen systems (system with slowly varying coefficients) has been shown. In this article the BIBO (bounded input bounded output) stability of LTV filters for strictly positive parametric function has been proved using the generalized eigenvalue method.
Rocznik
Tom
Strony
137--144
Opis fizyczny
Bibliogr. 13 poz., rys.
Twórcy
autor
  • Silesian Technical University
autor
  • Silesian Technical University
Bibliografia
  • [1] Amato F., Celentano G., Garofab F.: Akw Sufficient Conditions for Stability of Slowly Varying Linear Systems, IEEE Trans. On Automatic Control, Vol. 38, No.9. September 1993, pp. 1409-1411.
  • [2] Anyels D., Peutman J,: On exponential stability of time - varying differential equations, Automatica, Vol. 35, No.6, 1999, pp. 1091-1100.
  • [3] Cllement P., R.: On completeness of basis function used for signal analysis. SUM tov,Vol.5,No2,1963,pp.l67-172.
  • [4] D'Angelo H.: Linear Time-Varying Systems. Analysis and Synthesis, Allyn and Bacon, Inc. Boston 1970.
  • [5] Da Cunha J.: In stability Results for Slowly time varying dynamic systems on time scales, J. Math And Appl., No. 328, 2007, Elsevier, pp. 1279-1289.
  • [6] Davis J. H.: Mean-Square Gain Criteria for Stability and Instability of Time Varying Systems, IEEE Trans. On Automatic Control, Vol. AC-17, No 2, April 1972, pp. 214-219.
  • [7] Desoer C. A., Vidyasager M.: Feedback Systems: Input - Output Stability, Acad. Press New York 1975.
  • [8] Piwowar A: Analysis of parametric systems with first and second order sections.PhDthesis, Gliwice 2011.
  • [9] Polyanin A. D., Zaitsev V., F.: Handbook of exact solutions for ordinary differential equations, 2nd Edition, Chapman & Hall/CRC, Boca Raton, 2003.
  • [10] Richards J. A.: Analysis of Periodically Time Varying Systems; Springer New York 1983.
  • [11] Sandberg W I.: Time - Varying Linear Systems and Input - Output Stahility, IEEE Int. Symp. On Circuits and Systems ISCAS, 28-31 May 2000, Geneva, pp. II-196-II-199.
  • [12] Walczak J., Piwowar A.: Generalised transmission model of first order parametric section, Proc. of the Conf. AMTEE, Klatovy, Czech Republic, wrzesień 2011, pp. III-9-III-10.
  • [13] Znu J., Johnson C. D.: New Results in the Reduction of Linear Time-Varying System. SIAM J. Control and Optimization, Vol. 27, No.3, May 1998, pp. 476-493.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-3b032b5e-d762-4606-8c58-50f376d8fc20
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