Title :
On the sensitivity of the coupled continuous-time Lyapunov equation
Author :
A. Czornik;A. Swierniak
Author_Institution :
Dept. of Autom. Control, Silesian Tech. Univ., Gliwice, Poland
Abstract :
The sensitivity of coupled continuous-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. The results extend the bounds obtained for the standard Lyapunov equation in Hewcer et al. (1988).
Keywords :
"Linear systems","Robust stability","Differential algebraic equations","Signal processing","Control theory","Control system analysis","Stability analysis","Robust control","Optimal control","Control systems"
Journal_Title :
IEEE Transactions on Automatic Control
DOI :
10.1109/TAC.2002.800660
