Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach

By Emilia M. Fridman, Alexandre Seuret, Jean-Pierre Richard. 2004

1,217 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/4c9307a92b26d3bd99bf29ebf7d8d2c5873d7d5e

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In Aerospace Engineering

In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

Hierarchy of LMI conditions for the stability analysis of time-delay systems (2015, methodology): “We ﬁnally obtain The end of the proof is taken from the proof of Theorem 1 from [5].”
A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, neutral): “…systems in order to provide delay-dependent results (see Fridman and Shaked 2001a,b; Fridman and Shaked 2002c; Fridman, Pila, and Shaked 2003; Fridman, Shaked, and Xie 2003; Gao and Wang 2003; Han 2003a,b; Chen, Guan, and Lu 2004; Fridman, Seuret, and Richard 2004; Ismail and Mahmoud…”
Robust Sampled-Data Control for Vehicle Active Suspension Systems (2010, background): “Besides these two main approaches, the continuous-time systems with digital control also can be modelled as continuous-time systems with delayed control inputs, which was introduced in [10]–[12] and [18].”
Global stability results for systems under sampled-data control (2006, background): “A very interesting point of view that was recently explored in the linear systems theory (see [ 28 , 29]) involves considering the closed-loop system under zero-order hold as a time-delay system.”
A refined input delay approach to sampled-data control (2010, methodology): “domains of attraction of some nonlinear systems (Fridman et al., 2004), where the small-gain approach is not applicable.”
Stochastic Synchronization of Markovian Jump Neural Networks With Time-Varying Delay Using Sampled Data (2013, background): “Very recently, the work in [29] has studied the problem of sampled-data synchronization for neural networks with discrete and distributed delays under variable sampling in the framework of the input delay approach [4], [5].”
A novel stability analysis of linear systems under asynchronous samplings (2012, positive): “Concerning the analysis using continuous-time models, the input delay approach provided in [3] and reﬁned in [2,12,13,16], leads to relevant stability criteria since it is able to take into account uncertain systems.”