Stability analysis of a class of electronic circuits based on thermodynamic principles part II: analysis of chaos in Chua’s circuit

Munguía-Medina, Sergio Javier; García-Sandoval, J.P.; González-Álvarez, Alejandro

doi:10.1007/s11071-021-06753-0

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Nonlinear Dyn

2021

DOI: 10.1007/s11071-021-06753-0

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Stability analysis of a class of electronic circuits based on thermodynamic principles part II: analysis of chaos in Chua’s circuit

Sergio Javier Munguía-Medina

J.P. García-Sandoval

Alejandro González-Álvarez

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“…Chua's well-known circuit (Fig.1[49]) consists of a linear inductor L 1 , a linear resistor R, two linear capacitors C 1 , C 2 , and a nonlinear resistor N R named Chua's diode. υ 1 and υ 2 are the voltages across the capacitors C 1 and C 2 , respectively, i 1 is the current through the inductor L 1 .…”

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confidence: 99%

Improved on Extended Dissipative Analysis for Sampled-Data Synchronization of Complex Dynamical Networks With Coupling Delays

2022

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This paper concerns the issue of extended dissipative analysis for complex dynamical networks with coupling delays under a sampled-data control scheme. Firstly, we derive the input delay method and combine it with an appropriate Lyapunov functional, which can make full use of the information of the sampling period. Secondly, novel sufficient synchronization criteria are established by applying Jensen's inequality, Wirtinger's integral inequality, a new integral inequality, free-weighting matrix technique, and convex combination method. Moreover, we focus on the extended dissipative analysis issue, which includes L 2 − L ∞ , H ∞ , passivity, and dissipativity performance in a unified formulation. These conditions can express in Linear matrix inequalities (LMIs) restrictions, which can solve with readily accessible software. Finally, two numerical examples illustrate the effectiveness and reduced conservatism of our developed method.

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Improved on Extended Dissipative Analysis for Sampled-Data Synchronization of Complex Dynamical Networks With Coupling Delays

2022

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Stability analysis of a class of electronic circuits based on thermodynamic principles part I: analysis of limit cycles

2021

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