Title :
A new test for strict positive realness
Author :
Anderson, Brian D O ; Mansour, Mohamed ; Kraus, Frantisek J.
Author_Institution :
Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia
fDate :
4/1/1995 12:00:00 AM
Abstract :
Suppose w(s)=p(s)/q(s) is a real rational function, with p(s), q(s) polynomials. This paper presents a test for the strict positive realness of w(-) expressed in terms of the values assumed by p(s), q(s) at a finite set of points s=jωi, i=0,...,N, ω0=0 and ωN=∞
Keywords :
control theory; discrete time systems; polynomials; stability; transfer functions; Lyapunov functions; discrete time system; interpolation; polynomials; real rational functions; stability; strict positive realness; Adaptive systems; Australia; Frequency; Polynomials; Robustness; Stability; Sufficient conditions; Systems engineering and theory; Testing; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
