Structure Preserving Iterative Solution of Periodic Projected Lyapunov Equations
نویسندگان
چکیده
منابع مشابه
Structure Preserving Iterative Solution of Periodic Projected Lyapunov Equations
We discuss the Smith iteration for solving large-scale sparse projected discrete-time periodic Lyapunov equations which arise in periodic state feedback problems and in model reduction of periodic descriptor systems. Two algorithms are presented in this paper. The first one works with the cyclic lifted representation of the corresponding projected discrete-time periodic Lyapunov equations. In t...
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From the necessary and sufficient conditions for complete reachability and observability of periodic time-varying descriptor systems, the symmetric positive semi-definite reachability/observability Gramians are defined. These Gramians can be shown to satisfy some projected generalized discrete-time periodic Lyapunov equations. We propose a numerical method for solving these projected Lyapunov e...
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ژورنال
عنوان ژورنال: IFAC Proceedings Volumes
سال: 2012
ISSN: 1474-6670
DOI: 10.3182/20120215-3-at-3016.00048