Title :
New approach to block-diagonalization of singularly perturbed systems by Taylor expansion
Author :
Derbel, Nabil ; Kamoun, Mohamed B A ; Poloujadoff, Michel
Author_Institution :
Lab. d´´Electrotech. et d´´Autom., Ecole Nat. des Ingenieurs de Sfax, Tunisia
fDate :
7/1/1994 12:00:00 AM
Abstract :
Block-diagonalization of a singularly perturbed system requires the solution of the Riccati equation and the Lyapunov equation. A new approach is suggested for both equations, using Taylor expansions. The convergence is studied in detail; it is shown that it is ensured under restrictions which are less restrictive than the case of previously suggested methods
Keywords :
Lyapunov methods; convergence; matrix algebra; perturbation techniques; Lyapunov equation; Riccati equation; Taylor expansion; block-diagonalization; singularly perturbed systems; Calculus; Differential equations; Newton method; Proposals; Riccati equations; Taylor series;
Journal_Title :
Automatic Control, IEEE Transactions on
