Title :
The Nehari problem for discrete-time infinite-dimensional systems
Author :
Curtain, Ruth F. ; Opmeer, Mark R.
Author_Institution :
Dept. of Math., Univ. of Groningen, Groningen, Netherlands
Abstract :
We give a state space solution for the suboptimal Nehari problem for functions defined on the unit disc and taking values in the space of bounded operators in separable Hilbert spaces. We do not assume exponential stability, but a weaker stability concept (the combination of input-, output- and input-output stability). This allows us to solve the problem for general H-infinity functions.
Keywords :
H∞ control; Hilbert spaces; asymptotic stability; discrete time systems; multidimensional systems; discrete-time infinite-dimensional systems; exponential stability; general H-infinity functions; separable Hilbert spaces; state space solution; suboptimal Nehari problem; Observability; Riccati equations; Stability analysis; Transfer functions; J-spectral factorizations; Nehari problem; infinite-dimensional linear systems;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
