TY - JOUR
T1 - Robust Strict Positive Realness
T2 - Characterization and Construction
AU - Anderson, Brian D.O.
AU - Dasgupta, Soura
AU - Khargonekar, Pramod
AU - Kraus, Frantisek J.
AU - Mansour, Mohamed
PY - 1990/7
Y1 - 1990/7
N2 - Let 풫 be a convex set of real polynomials. This paper considers the question of when there exists a real polynomial bis), or more generally, a real transfer function b(s), such that p(s)/b(s) is strictly positive real for all p(s)ϵ 풫. Necessary and sufficient conditions are found for the transfer function b(s) case, and when the degree of the polynomials in 풫 is restricted, such conditions are also found for the polynomial b(s) case. Closely related results are also obtained for a z-transform version of the problem. The results have application in adaptive systems.
AB - Let 풫 be a convex set of real polynomials. This paper considers the question of when there exists a real polynomial bis), or more generally, a real transfer function b(s), such that p(s)/b(s) is strictly positive real for all p(s)ϵ 풫. Necessary and sufficient conditions are found for the transfer function b(s) case, and when the degree of the polynomials in 풫 is restricted, such conditions are also found for the polynomial b(s) case. Closely related results are also obtained for a z-transform version of the problem. The results have application in adaptive systems.
UR - http://www.scopus.com/inward/record.url?scp=0025462465&partnerID=8YFLogxK
U2 - 10.1109/31.55062
DO - 10.1109/31.55062
M3 - Article
AN - SCOPUS:0025462465
SN - 0098-4094
VL - 37
SP - 869
EP - 876
JO - IEEE Transactions on Circuits and Systems
JF - IEEE Transactions on Circuits and Systems
IS - 7
ER -