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On the generalized algebraic Riccati equation for continuous-time descriptor systems

โœ Scribed by A. Kawamoto; K. Takaba; T. Katayama

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
120 KB
Volume
296
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

In this paper we consider the generalized algebraic Riccati equation (GARE) for a continuous-time descriptor system. Necessary and sucient conditions for the existence of stabilizing solutions of the GARE are derived based on the Hamiltonian matrix pencil approach. A parametrization of all stabilizing solutions is also provided. The main result has a potential applicability to a wide class of control problems for a descriptor system, including r 2 ar I controls.

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