Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4999637 | Automatica | 2017 | 7 Pages |
Abstract
Assuming only strong stabilizability, we construct the maximal solution of the algebraic Riccati equation as the strong limit of a Kleinman-Newton sequence of bounded nonnegative operators. As a corollary we obtain a comparison of the solutions of two algebraic Riccati equations associated with different cost functions. We show that the weaker strong stabilizability assumptions are satisfied by partial differential systems with collocated actuators and sensors, so the results have potential applications to numerical approximations of such systems. By means of a counterexample, we illustrate that even if one assumes exponential stabilizability, the Kleinman-Newton construction may provide a solution to the Riccati equation that is not strongly stabilizing.
Related Topics
Physical Sciences and Engineering
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Control and Systems Engineering
Authors
Ruth F. Curtain, Hans Zwart, Orest V. Iftime,