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Journal ArticleDOI

Non-fragile sampled-data robust synchronization of uncertain delayed chaotic Lurie systems with randomly occurring controller gain fluctuation.

TLDR
A new non-fragile stochastic control method to investigate the robust sampled-data synchronization problem for uncertain chaotic Lurie systems (CLSs) with time-varying delays by choosing an appropriate Lyapunov-Krasovskii functional (LKF), which takes full advantage of the available information about the actual sampling pattern and the nonlinear condition.
Abstract
This paper proposes a new non-fragile stochastic control method to investigate the robust sampled-data synchronization problem for uncertain chaotic Lurie systems (CLSs) with time-varying delays. The controller gain fluctuation and time-varying uncertain parameters are supposed to be random and satisfy certain Bernoulli distributed white noise sequences. Moreover, by choosing an appropriate Lyapunov-Krasovskii functional (LKF), which takes full advantage of the available information about the actual sampling pattern and the nonlinear condition, a novel synchronization criterion is developed for analyzing the corresponding synchronization error system. Furthermore, based on the most powerful free-matrix-based integral inequality (FMBII), the desired non-fragile sampled-data estimator controller is obtained in terms of the solution of linear matrix inequalities. Finally, three numerical simulation examples of Chua's circuit and neural network are provided to show the effectiveness and superiorities of the proposed theoretical results.

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Citations
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Reliable asynchronous sampled-data filtering of T–S fuzzy uncertain delayed neural networks with stochastic switched topologies

TL;DR: The intermittent fault-tolerance scheme is taken into fully account in designing a reliable asynchronous sampled-data controller, which ensures such that the resultant neural networks is asymptotically stable.
Journal ArticleDOI

Chaotic random spare ant colony optimization for multi-threshold image segmentation of 2D Kapur entropy

TL;DR: An excellent multi-threshold image segmentation method using a random spare strategy and chaotic intensification strategy and improved selection mechanism to effectively augment the ability to step out of LO and to refine the convergence accuracy is proposed.
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Evolutionary biogeography-based whale optimization methods with communication structure: Towards measuring the balance

TL;DR: The experimental results show that the exploration ability, exploitation ability, state of the balance, and convergence style of the algorithm has been improved significantly, and it has achieved better solution quality and faster convergence rate compared with other most advanced algorithms.
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Double adaptive weights for stabilization of moth flame optimizer: Balance analysis, engineering cases, and medical diagnosis

TL;DR: In this paper, a double adaptive weight mechanism was introduced into the MFO algorithm, termed as WEMFO, to boost the search capability of the basic MFO and provide a more efficient tool for optimization purposes.
References
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Journal ArticleDOI

Synchronization in chaotic systems

TL;DR: This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
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Wirtinger-based integral inequality: Application to time-delay systems

TL;DR: An alternative inequality based on the Fourier Theory, more precisely on the Wirtinger inequalities is proposed and it is shown that this resulting inequality encompasses the Jensen one and also leads to tractable LMI conditions.
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Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach

TL;DR: A new approach to robust sampled- data control is introduced, modelled as a continuous-time one, where the control input has a piecewise-continuous delay, and sufficient linear matrix inequalities conditions for sampled-data state-feedback stabilization of such systems are derived via descriptor approach to time-delay systems.
Journal ArticleDOI

Brief paper: A refined input delay approach to sampled-data control

TL;DR: Novel time-dependent Lyapunov functionals in the framework of the input delay approach are introduced, which essentially improve the existing results and can guarantee the stability under the sampling which may be greater than the analytical upper bound on the constant delay that preserves the stability.
Journal ArticleDOI

Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay

TL;DR: A new integral inequality is presented, called a free-matrix-based integral inequality, that further reduces the conservativeness in those methods used to derive delay-dependent criteria for the stability analysis of time-varying-delay systems.
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