Title :
General Transformation for Block-Diagonalization of Weakly Coupled Linear Systems Composed of N-Subsystems
Author :
Prljaca, N. ; Gajic, Z.
Author_Institution :
Tuzla Univ., Tuzla
Abstract :
In this paper a novel transformation is introduced for block-diagonalization of weakly coupled linear systems composed of N subsystems. The block-diagonalization transformation matrix is obtained by successive solution of reduced-order nonsquare, nonsymmetric, algebraic Riccati equations. The nonsquare, nonsymmetric, algebraic Riccati equations can be efficiently solved by iterative methods.
Keywords :
Riccati equations; iterative methods; linear systems; matrix algebra; N subsystems; algebraic Riccati equations; block-diagonalization transformation matrix; iterative methods; weakly coupled linear system block-diagonalization; Cities and towns; Control systems; Couplings; Differential equations; Iterative methods; Linear systems; Newton method; Nonlinear equations; Riccati equations; Vectors;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282162
