Analytic stabilization and the algebraic Riccati equation
- 1 January 1983
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 4, 1396-1401
- https://doi.org/10.1109/cdc.1983.269767
Abstract
The central result of this paper is that the stabilizing solution P*, to the Algebraic Riccati Equation in (A,B,C) depends analytically on (A,B,C). A variant of this result was first presented in an earlier paper ([13]) by the author, but the simplicity of the proof was obscured by the context; moreover, the version given in §1 is more general. In addition, §1 contains recursive formulas for the terms in the Taylor series expansion of P* about a point (A,B,C). In the remainder of the paper, various control - and system-theoretic ramifications of the analyticity lemma are considered.Keywords
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