TY - JOUR
T1 - Riccati equations and normalized coprime factorizations for strongly stabilizable infinite-dimensional systems
AU - Curtain, Ruth F.
AU - Zwart, Hans
PY - 1996
Y1 - 1996
N2 - The first part of the paper concerns the existence of strongly stabilizing solutions to the standard algebraic Riccati equation for a class of infinite-dimensional systems of the form Σ(A,B,S−1/2B*,D), where A is dissipative and all the other operators are bounded. These systems are not exponentially stabilizable and so the standard theory is not applicable. The second part uses the Riccati equation results to give formulas for normalized coprime factorizations over H∞ for positive real transfer functions of the form D+S−1/2B*(author−A)−1,B.
AB - The first part of the paper concerns the existence of strongly stabilizing solutions to the standard algebraic Riccati equation for a class of infinite-dimensional systems of the form Σ(A,B,S−1/2B*,D), where A is dissipative and all the other operators are bounded. These systems are not exponentially stabilizable and so the standard theory is not applicable. The second part uses the Riccati equation results to give formulas for normalized coprime factorizations over H∞ for positive real transfer functions of the form D+S−1/2B*(author−A)−1,B.
U2 - 10.1016/0167-6911(96)00009-6
DO - 10.1016/0167-6911(96)00009-6
M3 - Article
SN - 0167-6911
VL - 28
SP - 11
EP - 22
JO - Systems and control letters
JF - Systems and control letters
IS - 1
ER -