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.

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