Title :
On normalized Bezout fractions of distributed LTI systems
Author_Institution :
Fac. of Math., Eindhoven Univ. of Technol., Netherlands
fDate :
4/1/1991 12:00:00 AM
Abstract :
The Hardy space H∞ and Bezout fractions are introduced. Some properties of transfer function matrices with entries in the Nevanlinna class are discussed. Shift-invariant subspaces in the Hardy space H2k are introduced, and the existence of normalized right Bezout fractions is proven. The existence of normalized left Bezout fractions and normalized Bezout fractions of discrete linear time-invariant (LTI) systems are considered. It is shown that if a transfer matrix with entries in the Nevanlinna class has a Bezout fraction, then it has a normalized one. This means that the full power of the theories developed by using normalized Bezout fractions can be applied to the transfer matrices with entries in the Nevanlinna class
Keywords :
control system analysis; discrete time systems; distributed control; matrix algebra; transfer functions; Bezout fractions; Hardy space; Nevanlinna class; discrete linear time invariant systems; distributed systems; matrix algebra; transfer function matrices; Automatic control; Constraint optimization; Control system synthesis; Design optimization; Equations; Linear matrix inequalities; Linear systems; MIMO; Output feedback; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
