Title :
An improved LMI condition for robust D-stability of uncertain polytopic systems
Author :
Leite, Valter J S ; Peres, Pedro L D
fDate :
3/1/2003 12:00:00 AM
Abstract :
A sufficient condition for robust D-stability of linear systems with polytope type uncertainties is proposed. The result is based on a linear parameter-dependent Lyapunov function obtained from the feasibility test of a set of linear matrix inequalities (LMIs) defined at the vertices of the polytope. This improved LMI condition encompasses previous results based on additional inequalities, as well as results based on extra variables.
Keywords :
Lyapunov methods; linear matrix inequalities; linear systems; stability; uncertain systems; Lyapunov functions; linear matrix inequalities; linear system; parametric uncertainty; stability; sufficient condition; uncertain polytopic systems; Control system synthesis; Linear matrix inequalities; Linear systems; Lyapunov method; Robust stability; Robustness; Stability analysis; Testing; Uncertain systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.809167
