Title :
Symbolic computer algebra algorithms for factorizations of Sylvester mappings with applications to the production of linear matrix inequalities in systems and controls
Author :
De Oliveira, Maurício
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Univ. of California San Diego, La Jolla, CA, USA
Abstract :
We describe theory and algorithms that can be used to factor polynomial matrices in noncommuting variables with applications to the conversion of problems in systems and controls into linear matrix inequalities.
Keywords :
linear matrix inequalities; matrix decomposition; polynomial matrices; process algebra; symbol manipulation; Sylvester mapping; linear matrix inequality; symbolic computer algebra algorithm; Algebra; Computers; Control systems; Indexes; Linear matrix inequalities; Matrix converters; Polynomials;
Conference_Titel :
Computer-Aided Control System Design (CACSD), 2011 IEEE International Symposium on
Conference_Location :
Denver, CO
Print_ISBN :
978-1-4577-1066-7
Electronic_ISBN :
978-1-4577-1067-4
DOI :
10.1109/CACSD.2011.6044552