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Partial Stabilization of Generalized State‐Space Systems Using the Disk Function Method
Author(s) -
Benner P.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310222
Subject(s) - state space , function (biology) , space (punctuation) , state (computer science) , control theory (sociology) , mathematics , matrix (chemical analysis) , scale (ratio) , state function , mathematical analysis , computer science , physics , algorithm , control (management) , artificial intelligence , statistics , materials science , quantum mechanics , evolutionary biology , composite material , biology , operating system , thermodynamics
We consider the stabilization problem for large‐scale linear systems in generalized state‐space form. We discuss how the disk function method for matrix pencils can be used to design a partial stabilization procedure that preserves the stable poles of the system and stabilizes the unstable ones.