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Finite-time H∞ fuzzy control of nonlinear Markovian jump delayed systems with partly uncertain transition descriptions

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TLDR
Free-matrix-based and double integral forms of the Wirtinger-based integral inequalities are employed to make the proposed approach less conservative, and sufficient conditions are derived such that the fuzzy nonlinear Makovian jump delayed system exhibits stochastic finite-time boundedness.
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This article is published in Fuzzy Sets and Systems.The article was published on 2017-05-01. It has received 178 citations till now. The article focuses on the topics: Fuzzy control system & Fuzzy logic.

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Citations
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Journal ArticleDOI

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

Non-fragile memory filtering of T-S fuzzy delayed neural networks based on switched fuzzy sampled-data control

TL;DR: A modified loose-looped fuzzy membership functions (FMFs) dependent Lyapunov-Krasovskii functional (LKF) is constructed based on the information of the time derivative of FMFs, which involves not only a signal transmission delay but also switched topologies.
Journal ArticleDOI

An Asynchronous Operation Approach to Event-Triggered Control for Fuzzy Markovian Jump Systems With General Switching Policies

TL;DR: A novel event-triggered scheme is proposed to improve the transmission efficiency at each sampling instance and sufficient conditions for the resulting fuzzy Markovian jump systems are established in terms of coupled linear matrix inequalities.
Journal ArticleDOI

A Flexible Terminal Approach to Sampled-Data Exponentially Synchronization of Markovian Neural Networks With Time-Varying Delayed Signals

TL;DR: A new approach named flexible terminal approach is proposed to reduce the conservatism of delay-dependent synchronization criteria and the SD subject to stochastic sampling period is introduced to exhibit the general phenomena of reality.
Journal ArticleDOI

Static output feedback control of nonhomogeneous Markovian jump systems with asynchronous time delays

TL;DR: The robust static output-feedback controller is designed for the closed-loop NMJS using an extended Lyapunov function combined with Finsler inequality approach to deal with ATDs characterized by nonhomogeneous Markov processes.
References
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Book

Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach

Kazuo Tanaka, +1 more
TL;DR: Fuzzy Control Systems Design and Analysis offers an advanced treatment of fuzzy control that makes a useful reference for researchers and a reliable text for advanced graduate students in the field.
Journal ArticleDOI

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.
Journal ArticleDOI

Parameterized linear matrix inequality techniques in fuzzy control system design

TL;DR: This paper proposes different parameterized linear matrix inequality (PLMI) characterizations for fuzzy control systems and these characterizations are relaxed into pure LMI programs, which provides tractable and effective techniques for the design of suboptimal fuzzy control Systems.
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.
Journal ArticleDOI

Technical communique: Improved delay-range-dependent stability criteria for linear systems with time-varying delays

TL;DR: A new type of augmented Lyapunov functional is proposed which contains some triple-integral terms and some new stability criteria are derived in terms of linear matrix inequalities without introducing any free-weighting matrices.
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