Mathematical Systems Theory I

By Diederich Hinrichsen, Anthony J. Pritchard. IEEE Transactions on Automatic Control, 2006

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Dynamical Systems and Linear Algebra (2014, unknown): “([CK00], Chapter 11 and [HP05])”
Lyapunov, Bohl and Sacker-Sell Spectral Intervals for Differential-Algebraic Equations (2009, background): “, [44, 16] and the references therein.”
Stability Criteria for Switched and Hybrid Systems (2007, background): “Stability radii of this type were discussed in [32, 69].”
On the Lyapunov exponents of a class of second-order discrete time linear systems with bounded perturbations (2013, unknown): “First time the problem was formally formulated for the continuous timeinvariant system in the famous paper of Hinrichsen and Pritchard [17] and since then many results have been obtained [18].”
Stability of interconnected impulsive systems with and without time delays, using Lyapunov methods (2010, background): “; t6=t k; k2N; xt= g((xt) ;u (t)); t= t k; k2N; (10) where we make the same assumptions as in the previous section and the functional gis now a map from C [ ;0];R N RM into C [ ;0];R . According to [24], Section 2, the current state and the current input together determine the current output and the”