Title :
Necessary and sufficient conditions for the robustness of time-varying systems with applications to sampled-data systems
Author :
Khammash, Mustafa H.
Author_Institution :
Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA
fDate :
1/1/1993 12:00:00 AM
Abstract :
Necessary and sufficient conditions for robustness of time-varying systems with structured norm-bounded uncertainty are provided. The L ∞ signal norm is used and the conditions are given in terms of the spectral radii of certain matrices obtained from the kernel representation of the time-varying system at hand. The derived conditions are then applied to continuous time linear time-invariant systems and for sampled-data systems
Keywords :
linear systems; matrix algebra; sampled data systems; stability; time-varying systems; L∞ signal norm; continuous time linear time-invariant systems; kernel representation; necessary and sufficient conditions; robustness; sampled-data systems; structured norm-bounded uncertainty; time-varying systems; Adaptive control; Control systems; Kernel; Robust control; Robust stability; Robustness; Sufficient conditions; Time varying systems; Transfer functions; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
