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Delay-dependent robust stability and stabilization of uncertain linear delay systems: A linear matrix inequality approach. (English) Zbl 0889.93050

This paper considers the problems of robust stability and robust control design for the following uncertain linear systems with delay:

x ˙(t)=A + Δ A ( t )x(t)+[Ad+ΔAd]x(t-τ)+B + Δ B ( t )u(t)x(t)=ϕ(t),t[-τ,0]·

Some methods are developed based on linear matrix inequalities and depending on the size of the time delay.


MSC:
93D21Adaptive or robust stabilization
34K20Stability theory of functional-differential equations
93D09Robust stability of control systems