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The discrete-time strictly bounded-real lemma and the computation of positive definite solutions to the 2-D Lyapunov equation

✍ Scribed by Agathoklis, P.; Jury, E.I.; Mansour, M.


Book ID
114560172
Publisher
IEEE
Year
1989
Weight
724 KB
Volume
36
Category
Article
ISSN
0098-4094

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The existence of a solution of the discrete-time algebraic Riccati equation is established assuming modulus controllability and positive semideΓΏniteness on the unit circle of the Popov function. As an application a nonstrictly bounded real lemma is obtained.