Decentralized <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si40.gif" display="inline" overflow="scroll"><mml:mi>H</mml:mi></mml:math>-infinity control of complex systems with delayed feedback

Bakule, Lubomı́r; Rehák, Branislav; Papík, Martin

doi:10.1016/j.automatica.2016.01.013

Cited by 30 publications

(14 citation statements)

References 11 publications

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“…As noted in [4], 0 is the eigenvalue of Laplacian matrix L corresponding to the eigenvector a. This eigenvalue is simple.…”

Section: Graph Theorymentioning

confidence: 98%

“…Let us also note that a solution of an analogous problem -stabilization of a largescale system with communication delays -is presented in [2,3] for the case of a linear system and in [21] for a nonlinear system.…”

Section: State Of the Artmentioning

confidence: 99%

“…Only the notions most important for this paper are presented in this section. For more details, see e. g. [4].…”

Section: Preliminariesmentioning

confidence: 99%

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Consensus of a multi-agent systems with heterogeneous delays

Rehák¹,

Lynnyk²

2020

Kybernetika

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“…As noted in [4], 0 is the eigenvalue of Laplacian matrix L corresponding to the eigenvector a. This eigenvalue is simple.…”

Section: Graph Theorymentioning

confidence: 98%

Section: State Of the Artmentioning

confidence: 99%

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Consensus of a multi-agent systems with heterogeneous delays

Rehák¹,

Lynnyk²

2020

Kybernetika

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“…Indeed, the problem of H ∞ control has been studied by many. [31][32][33][34][35][36] However, few results exist for H ∞ observer-based boundary control for SRDSs.…”

Section: Introductionmentioning

confidence: 99%

“…H ∞ control is known to be an effective control strategy to handle disturbance effects. Indeed, the problem of H ∞ control has been studied by many . However, few results exist for H ∞ observer‐based boundary control for SRDSs.…”

Section: Introductionmentioning

confidence: 99%

Boundary control of linear stochastic reaction‐diffusion systems

Liu

Shi

et al. 2018

Intl J Robust & Nonlinear

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Summary This paper considers the boundary control problem for linear stochastic reaction‐diffusion systems with Neumann boundary conditions. First, when the full‐domain system states are accessible, a boundary control is designed, and a sufficient condition is established to ensure the mean‐square exponential stability of the resulting closed‐loop system. Next, when the full‐domain system states are not available, an observer‐based control is proposed such that the underlying closed‐loop system is stable. Furthermore, observer‐based controller is designed for the systems with an H∞ performance. Simulation examples are given to demonstrate the effectiveness and potential of the new design techniques.

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Observer‐based H_∞ control of a stochastic Korteweg–de Vries–Burgers equation

Kang

Wang

et al. 2021

Intl J Robust & Nonlinear

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This article mainly deals with observer-based H ∞ control problem for a stochastic Korteweg-de Vries-Burgers equation under point or averaged measurements. Due to the nonlinearity of the stochastic partial differential equations, special emphases are given to computation complexity. By constructing an appropriate Lyapunov functional, we derive sufficient conditions in terms of linear matrix inequalities to guarantee the internal exponential stability and H ∞ performance of the perturbed closed-loop system by means of the Lyapunov approach. Consistent simulation results that support the proposed theoretical statements are provided. Finally, we have made important instructions for future research directions.

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Decentralized H-infinity control of complex systems with delayed feedback

Cited by 30 publications

References 11 publications

Consensus of a multi-agent systems with heterogeneous delays

Consensus of a multi-agent systems with heterogeneous delays

Boundary control of linear stochastic reaction‐diffusion systems

Observer‐based H_∞ control of a stochastic Korteweg–de Vries–Burgers equation

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Decentralized H-infinity control of complex systems with delayed feedback

Cited by 30 publications

References 11 publications

Consensus of a multi-agent systems with heterogeneous delays

Consensus of a multi-agent systems with heterogeneous delays

Boundary control of linear stochastic reaction‐diffusion systems

Observer‐based H∞ control of a stochastic Korteweg–de Vries–Burgers equation

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Product

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Observer‐based H_∞ control of a stochastic Korteweg–de Vries–Burgers equation