Necessary and sufficient conditions for the robustness of time-varying systems with applications to sampled-data systems

• Published in: IEEE transactions on automatic control Vol. 38; no. 1; pp. 49 - 57
• Main Author: Khammash, M.H.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-01-1993; Institute of Electrical and Electronics Engineers
• Subjects: Adaptive control; Applied sciences; Computer science; control theory; systems; Control system analysis; Control systems; Control theory. Systems; Exact sciences and technology; Kernel; Robust control; Robust stability; Robustness; Sufficient conditions; Time varying systems; Transfer functions; Uncertainty; Sampled system; Robust stability; Necessary and sufficient condition; Time- varying system; Robustness; Discrete system; Performance; Invarying system; System analysis; Continuous system; Periodic system
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/9.186311

Necessary and sufficient conditions for robustness of time-varying systems with structured norm-bounded uncertainty are provided. The L/sup infinity / 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.< >