Decentralized networked stabilization of a nonlinear large system under quantization

Rehák, Branislav; Lynnyk, Volodymyr

doi:10.1016/j.ifacol.2019.12.144

Cited by 9 publications

(4 citation statements)

References 20 publications

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“…Nevertheless, a close inspection of its proof shows that this generalization is straightforward, hence its proof is omitted here. Due to this Proposition, LMI (22) together with ( 17) imply H ∞ -stability of (9). This means, the relation T 0…”

Section: Problems With Delayed Control With Perturbations and With He...mentioning

confidence: 86%

See 1 more Smart Citation

Consensus of multi-agent systems and stabilization of large-scale systems with time delays and nonlinearities - a comparison of both problems

Rehák¹,

Lynnyk²

2023

Kybernetika

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The problem of stabilization of large-scale systems and the consensus problem of multi-agent systems are related, similar tools for their solution are used. Therefore, they are occasionally confused. Although both problems show similar features, one can also observe important differences. A comparison of both problems is presented in this paper. In both cases, attention is paid to the explanation of the effects of the time delays. The most important fact is that, if the time delays are heterogeneous, full synchronization of the multi-agent systems cannot be achieved; however, stabilization of the large-scale network is reachable. In the case of nonlinear systems, we show that the stabilization of a large-scale nonlinear system is possible under more restrictive assumptions compared to the synchronization of a nonlinear multi-agent system.

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Section: Problems With Delayed Control With Perturbations and With He...mentioning

confidence: 86%

“…Its application to large-scale systems yields good results, [21]. Moreover, let us mention that the sampled control of large-scale systems is presented in [20] or the quantized control studied in [22], among other sources.…”

Section: Introductionmentioning

confidence: 99%

Consensus of multi-agent systems and stabilization of large-scale systems with time delays and nonlinearities - a comparison of both problems

Rehák¹,

Lynnyk²

2023

Kybernetika

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show abstract

“…It is known that disturbances and/or time delays, quantization, and bandwidth limitation can heavily influence the quality and speed of the synchronization between nodes of the CN. These obstacles that may naturally occur in the communication channels were studied in [3,22,23,25,26], and references within there.…”

Section: State Of the Artmentioning

confidence: 99%

“…T h e o r e m 3.2. First, for clarity, note explicitly that by (22) and the first node being the master (root), i. e. c j1 = 0, j = 1, . .…”

Section: P R O O F O Fmentioning

confidence: 99%

Generalized synchronization in the networks with directed acyclic structure

Čelikovský¹,

Lynnyk²,

Lynnyk³

et al. 2023

Kybernetika

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Generalized synchronization in the direct acyclic networks, i.e. the networks represented by the directed tree, is presented here. Network nodes consist of copies of the so-called generalized Lorenz system with possibly different parameters yet mutually structurally equivalent. The difference in parameters actually requires the generalized synchronization rather than the identical one. As the class of generalized Lorenz systems includes the well-known particular classes such as (classical) Lorenz system, Chen system, or Lü system, all these classes can be synchronized using the presented approach as well. The main theorem is rigorously mathematically formulated and proved in detail. Extensive numerical simulations are included to illustrate and further substantiate these theoretical results. Moreover, during these numerical experiments, the so-called duplicated system approach is used to double-check the generalized synchronization.

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Synchronization of a network composed of Hindmarsh-Rose neurons with stochastic disturbances

Rehák

Lynnyk

2021

IFAC-PapersOnLine

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Decentralized networked stabilization of a nonlinear large system under quantization

Cited by 9 publications

References 20 publications

Consensus of multi-agent systems and stabilization of large-scale systems with time delays and nonlinearities - a comparison of both problems

Consensus of multi-agent systems and stabilization of large-scale systems with time delays and nonlinearities - a comparison of both problems

Generalized synchronization in the networks with directed acyclic structure

Synchronization of a network composed of Hindmarsh-Rose neurons with stochastic disturbances

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