Title :
Frequency response envelopes of a family of uncertain continuous-time systems
Author :
Levkovich, Avraham ; Zeheb, Ezra ; Cohen, Nir
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
3/1/1995 12:00:00 AM
Abstract :
Amplitude and phase envelopes of a family of interval rational transfer functions of continuous-time systems are derived. A finite number of intervals on the real frequency axis are explicitly determined, for which the maximum and the minimum amplitude or phase of the functions, with respect to the interval coefficients, coincide with explicit fixed coefficients functions. Some special cases where simplifications are applicable, are pointed out. Illustrative examples that are consistent with the derived results are provided
Keywords :
continuous time filters; elliptic filters; frequency response; transfer functions; uncertain systems; elliptic filters; explicit fixed coefficients functions; frequency response envelopes; interval coefficients; interval rational transfer functions; real frequency axis; uncertain continuous-time systems; Frequency response; Mathematical model; Noise measurement; Passive circuits; Polynomials; Production systems; Systems engineering and theory; Transfer functions; Uncertainty;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
