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Titlebook: Recent Results on Nonlinear Delay Control Systems; In honor of Miroslav Iasson Karafyllis,Michael Malisoff,Pierdomenico Pe Book 2016 Spring

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Global and Local Weighted Homogeneity for Time-Delay Systems,en stability and instability of the locally approximating dynamics and the original time-delay system is established using a Lyapunov-Razumikhin approach. An implication between homogeneity and input-to-state stability is investigated. Examples of applications of the proposed theory are given.
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Book 2016ted.  This volume is suitable for all researchers in mathematics and engineering who deal with nonlinear delay control problems and students who would like to understand the current state of the art in the control of nonlinear delay systems..
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On the Existence of the Normal Form for Nonlinear Delay Systems,subsystem. Finally, a full characterization is derived for the nonlinear time delay system to have an unobservable subsystem not directly affected by the input and a weakly observable subsystem which is linearizable by feedback. The performed analysis is carried out within a new geometric framework recently introduced in the literature.
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Input-to-State Stability of Switched Systems with Time Delays,lity property if the switching is not too fast on average. Particularly, it is shown that the existence of a common Razumikhin function is sufficient to guarantee input-to-state stability for time-delayed systems under arbitrary switching.
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An LMI Approach to Control of Exponentially Unstable Systems Subject to Saturation and Time-Varyingn the analysis, and the previous iterative LMI problem is updated in order to maximize the domain of attraction of the closed-loop system. The effectiveness of the proposed methods is demonstrated through numerical examples, and by experimental validation on a test rig that captures the main operating characteristics of active magnetic bearings.
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