Title :
Semidefinite programming duality on n-D behaviors
Author_Institution :
Dept. of Inf. Phys. & Comput., Univ. of Tokyo, Tokyo, Japan
Abstract :
A semidefinite programming (SDP) is recognized as a valuable numerical tool in the optimization theory. In this paper, we consider the SDP duality on n-dimensional (n-D) system described by high-order partial differential-algebraic equation in the behavioral framework. We derive an alternative condition for the nonnegativity and positivity of a 2n-variable polynomial matrix as a main result. This condition is applied to derive an alternative condition for checking dissipativity of an n-D behavior.
Keywords :
differential algebraic equations; duality (mathematics); optimisation; partial differential equations; polynomial matrices; high-order partial differential-algebraic equation; n-D behavior; numerical tool; optimization theory; semidefinite programming duality; variable polynomial matrix; Control theory; Differential equations; Electronic mail; Information science; Linear matrix inequalities; Multidimensional systems; Partial differential equations; Physics computing; Polynomials; Stability; behavioral system theory; dissipation theory; multi-dimensional system; semidefinite programming;
Conference_Titel :
ICCAS-SICE, 2009
Conference_Location :
Fukuoka
Print_ISBN :
978-4-907764-34-0
Electronic_ISBN :
978-4-907764-33-3
