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A new delay-dependent absolute stability criterion for Lurie systems with time-varying delay. (A new delay-dependent absolute stability criterion for Lur’e systems with time-varying delay.) (English) Zbl 1240.93272

Summary: The problem of absolute stability analysis for Lur’e systems with time-varying delay and norm-bounded parameter uncertainties is considered. By using a new Lyapunov-Krasovskii functional, which splits the whole delay interval into two subintervals and by defining a different energy function on each subinterval, some new delay-dependent robust absolute stability criteria are presented in terms of strict linear matrix inequalities. The obtained delay-dependent criteria are less conservative than previous ones, which is illustrated by numerical examples.

MSC:

93D09 Robust stability
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
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