2014
DOI: 10.1049/iet-cta.2013.0888
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Performance limits in the control of single‐input linear time‐invariant plants over fading channels

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Cited by 16 publications
(6 citation statements)
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“…k . This lemma is also the multichannel counterpart of the theorems in the works of Maass and Silva [29] and of Silva and Solis [40], and the corresponding discrete counterpart of Lemma 1 is given in [39]. Thus, the proof is omitted.…”
Section: Equivalence Relationmentioning
confidence: 92%
See 1 more Smart Citation
“…k . This lemma is also the multichannel counterpart of the theorems in the works of Maass and Silva [29] and of Silva and Solis [40], and the corresponding discrete counterpart of Lemma 1 is given in [39]. Thus, the proof is omitted.…”
Section: Equivalence Relationmentioning
confidence: 92%
“…The main difference between our work and the literature [25]- [27] is that we address the stabilization problem for discrete-time NCSs. Formally, this article is a generalization of [25], [28], [29], but the difficulties in solving the discretetime case are as follows: 1) Since the open-loop system topological entropy is inconsistent for the definitions of a continuous-time system and a discrete-time system, i.e., the sum of the unstable poles for a continuous-time plant and the logarithm of the product of the modulus of the unstable poles for a discrete-time plant, the proof methods used for the continuous-time system cannot be directly applied to the discrete-time plant, and other methods must be used to address stabilization of NCSs with configurable channel resources. 2) In particular, when discussing the sufficient and necessary conditions for stabilizing the networked system under fixed resources and because the open-loop system topological entropy is inconsistent with the definitions of a continuous-time system and a discrete-time system, a necessary and sufficient condition is given for the continuoustime system.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, it is not hard to verify that (40) holds for all channel uncertainties modeled by multiplicative white noises with zero mean and variance σ 2 .…”
Section: Then It Holds To the Impulse Response Of The Channel Uncerta...mentioning
confidence: 99%
“…Meanwhile numerous special issues on NCSs have been concerned by many researchers, inspired by wide applications of NCSs in cooperative vehicles [4, 5], sensor networks [6, 7], multi‐agent systems [8, 9] and so on. In NCSs, the imperfect communication channels can introduce various constraints and uncertainties, for instance, packet dropouts [10, 11], time delays [12, 13], fading [14, 15], limited data rates [16, 17] and quantisation [18, 19] etc.…”
Section: Introductionmentioning
confidence: 99%