TY - JOUR
T1 - Continuity properties of solutions to H2 and H∞ Riccati equations
AU - Stoorvogel, A.A.
AU - Saberi, A.
PY - 1996
Y1 - 1996
N2 - In H2 and H8 optimal control (semi-)stabilizing solutions of algebraic Riccati equations play an essential role. It is well-known that these solutions might have discontinuities as a function of the system parameters. The paper shows that these discontinuities are directly linked to non-left-invertibility and, in contrast to what one might think, unrelated to zeros on the imaginary axis.
AB - In H2 and H8 optimal control (semi-)stabilizing solutions of algebraic Riccati equations play an essential role. It is well-known that these solutions might have discontinuities as a function of the system parameters. The paper shows that these discontinuities are directly linked to non-left-invertibility and, in contrast to what one might think, unrelated to zeros on the imaginary axis.
U2 - 10.1016/0167-6911(95)00053-4
DO - 10.1016/0167-6911(95)00053-4
M3 - Article
SN - 0167-6911
VL - 27
SP - 209
EP - 222
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 4
ER -