Titlebook: Delays and Interconnections: Methodology, Algorithms and Applications; Giorgio Valmorbida,Alexandre Seuret,Rifat Sipahi Book 2019 The Edit

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Dynamic Dissipativity Theory for Stability of Time-Delay Systemsativity theory. Specifically, we first show that the time delay operator is dissipative with a Lyapunov-Krasovskii-type storage function. Next, by representing a time delay dynamical system as a negative feedback interconnection of a finite-dimensional dynamical system and an infinite-dimensional ti

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Robustness of Delayed Multistable Systemshown that ISS multistable systems are robust with respect to delays in the feedback path. First, the approach is illustrated by establishing the ISS property for the model of a nonlinear pendulum, then delay-dependent robustness conditions are derived. Second, it is shown that, under certain assumpt

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Stability Analysis of Uniformly Distributed Delay Systems: A Frequency-Sweeping Approach point-wise constant delays, this problem involves three new technical issues. In this chapter, these technical issues will be solved mainly within the frequency-sweeping framework which was recently established for systems with point-wise delays. As a consequence, the stability in the whole domain

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Scanning the Space of Parameters for Stability Regions of a Class of Time-Delay Systems; A Lyapunov nted. The methodology consists of detecting stable regions in the delay-parameter space based on a stability test in terms of the delay Lyapunov matrix, which plays a central role in the framework of complete type Lyapunov–Krasovskii functionals. Our approach is tested on a number of challenging aca

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