Title :
On the sensitivity of the coupled discrete-time Lyapunov equation
Author :
A. Czornik;A. Swierniak
Author_Institution :
Dept. of Autom. Control, Silesian Tech. Univ., Gliwice, Poland
Abstract :
The sensitivity of coupled discrete-time Lyapunov equations is analyzed through three types of norms of the inverse Lyapunov-like operator. This analysis leads to bounds on the relative perturbation of the solution. These results extend the results for standard Lyapunov equation presented by Gahinet et al. (1990).
Keywords :
"Differential algebraic equations","Robust stability","Linear systems","Signal processing","Control theory","Control system analysis","Stability analysis","Robust control","Optimal control","Control systems"
Journal_Title :
IEEE Transactions on Automatic Control
