Title :
Some continuity properties of Riccati equations
Author_Institution :
Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands
Abstract :
Sufficient conditions are given for solutions of infinite-dimensional algebraic Riccati equations to be continuous in the uniform topology with respect to a parameter. The results are applied to three types of Riccati equations: the linear quadratic control Riccati equation, the positive-real Riccati equation and the bounded-real Riccati equation. For bounded generators we assume only exponential stabilizability and detectability, whereas for unbounded generators we assume an extra assumption on the generator.
Keywords :
Riccati equations; asymptotic stability; linear quadratic control; multidimensional systems; bounded generators; bounded-real Riccati equation; continuity property; exponential detectability; exponential stabilizability; infinite-dimensional algebraic Riccati equations; linear quadratic control Riccati equation; positive-real Riccati equation; sufficient conditions; uniform topology; Generators; Hilbert space; Linear systems; Riccati equations; Topology; Transfer functions;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760025
