State Estimation of Chaotic Lurie Systems via Communication Channel with Transmission Delay

Zheng, Juanhui; Cui, Baotong

doi:10.1007/s00034-018-0779-7

Cited by 5 publications

(1 citation statement)

References 40 publications

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“…conditions for Lurie systems with parameter intervals (LIAO et al, 2007), systems with delays (HAO; ZHAO, 2010; GAO; DU; LIU, 2017) and chaotic systems (ZHENG;CUI, 2018). Several examples of stabilizing controllers design are mentioned in (PEIRAN et al, 2012;XUE;ZHANG, 2016;GYURKOVICS;ESZES, 2015;ZENG et al, 2014;ZENG et al, 2010).…”

Section: Related Workmentioning

confidence: 99%

The Lurie problem and its relationships with artificial neural networks and alzheimer-like disease.

Pinheiro¹

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I am a Christian, that means: I believe in the divinity of Jesus Christ together with Tycho Brahe, Copernicus, Descartes, Newton, Fermat, Leibniz, Pascal, Grimaldi, Euler, Guldin, Boscowitsch, Gerdil, with all the great astronomers, all the great researchers of the natural sciences, all the great mathematicians of past centuries. And if you ever ask me by the reason, I will be happy to explain it. You will see that my conviction is the result of careful study and not of prejudice."-Augustin Louis Cauchy (1789-1857), mathematician and physicist-(GUTZWILLER, 2000) RESUMONesta tese, são apresentados estudos que fornecem novas condições suficientes para a análise da estabilidade absoluta de sistemas do tipo Lurie para os casos Single-Input-Single-Output (SISO) e Multiple-Input-Multiple-Output (MIMO). Técnicas de projetos de controladores para sistemas tipo Lurie são deselvolvidas e aplicadas em redes neurais artificiais. Os resultados apresentados são baseados na teoria de controle H ∞ , sendo, para o caso SISO, usada a técnica de sensibilidade mista (S/KS/T) e para o caso MIMO utilizada a técnica de análise e síntese µ. Além disso, obtem-se condições para sistemas com atraso no tempo, mostrando que os resultados podem também ser utilizados quando existem atrasos. Na aplicação, primeiramente se faz a modelagem de uma neuropatologia que simula perda de memória usando redes de Hopfield em tempo contínuo, que é denominada neste trabalho como doença tipo-Alzheimer. Em seguida, o controlador desenvolvido, baseado na teoria deste trabalho, é aplicado para corrigir o problema de falha de memória. Exemplos são apresentados para ilustrar a teoria e simulações são realizadas para validar e mostrar a eficácia dos resultados.

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Section: Related Workmentioning

confidence: 99%

The Lurie problem and its relationships with artificial neural networks and alzheimer-like disease.

Pinheiro¹

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On Reduced-Order Linear Functional Interval Observers for Nonlinear Uncertain Time-Delay Systems with External Unknown Disturbances

Huong

Thuận

2018

Circuits Syst Signal Process

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Synchronization of Complex Dynamical Networks with Actuator Saturation by Using Sampled-Data Control

Guan¹,

Wu²,

et al. 2019

Circuits Syst Signal Process

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State Estimation of Chaotic Lurie Systems via Communication Channel with Transmission Delay

Cited by 5 publications

References 40 publications

The Lurie problem and its relationships with artificial neural networks and alzheimer-like disease.

The Lurie problem and its relationships with artificial neural networks and alzheimer-like disease.

On Reduced-Order Linear Functional Interval Observers for Nonlinear Uncertain Time-Delay Systems with External Unknown Disturbances

Synchronization of Complex Dynamical Networks with Actuator Saturation by Using Sampled-Data Control

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