Finite-Time Extended Dissipative Filtering for Singular T–S Fuzzy Systems With Nonhomogeneous Markov Jumps

Tian, Yufeng; Wang, Zhanshan

doi:10.1109/tcyb.2020.3030503

Cited by 68 publications

(38 citation statements)

References 50 publications

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“…Definition 1. [24], [25] For prescribed matrices Ψ 1 , Ψ 2 , Ψ 3 , and Ψ 4 satisfying Assumption 1, MJNNs (1) are said to be extended dissipative, if there exists a scalar such that the following inequality holds for all nonzero w(t) ∈ L 2 [0, +∞) and any…”

Section: System Description and Preliminariesmentioning

confidence: 99%

A Novel Delay-Product-Type Functional Method to Extended Dissipativity Analysis for Markovian Jump Neural Networks

Huang

Wang

et al. 2021

IEEE Access

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This paper studies the problem of extended dissipativity analysis for Markovian jump neural networks (MJNNs) with time-varying delay. Combining Wirtinger-based double integral inequality and S-procedure lemma, a novel double integral-based delay-product-type (DIDPT) Lyapunov functional is constructed in this paper, which avoids the incomplete components in the existing works. Then, based on parameter-dependent reciprocally convex inequality (PDRCI) and the novel DIDPT, a new extended dissipativity condition is obtained for MJNNs. A numerical example is employed to illustrate the advantages of the proposed method. INDEX TERMS Markovian jump neural networks, extended dissipativity, time-varying delay, delayproduct-type functional, S-Procedure lemma.

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Section: System Description and Preliminariesmentioning

confidence: 99%

A Novel Delay-Product-Type Functional Method to Extended Dissipativity Analysis for Markovian Jump Neural Networks

Huang

Wang

et al. 2021

IEEE Access

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“…The observability and detectability were investigated for the periodic nonhomogeneous MJSs 12 . The finite‐time filtering problems were studied for singular nonhomogeneous MJSs 13,14 . A robust LQR approach was proposed to address the optimal control issue of nonhomogeneous linear MJSs 15 .…”

Section: Introductionmentioning

confidence: 99%

“…12 The finite-time filtering problems were studied for singular nonhomogeneous MJSs. 13,14 A robust LQR approach was proposed to address the optimal control issue of nonhomogeneous linear MJSs. 15 Some optimal control schemes were developed for continuous-time nonhomogeneous linear MJSs via Riccati equations.…”

Section: Introductionmentioning

confidence: 99%

Stabilization of two kinds of nonhomogeneous Markovian jump systems via sliding mode control

Sun

Shi

2022

Intl J Robust & Nonlinear

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In this article, the stabilization is addressed for the continuous‐time nonhomogeneous nonlinear Markovian jump system (MJS) with parameter uncertainty and stochastic disturbance via sliding mode control (SMC) technique. By using a piecewise homogeneous Markov chain to describe its time‐varying characteristics, the considered nonhomogeneous MJS is established by two kinds of piecewise homogeneous MJSs. After that, an integral sliding mode function is constructed. Then, by applying the SMC theory, two control schemes are proposed to force the states of the piecewise homogeneous MJSs onto the designed sliding surface. Sufficient conditions are given to assure the stochastic stability of the sliding mode dynamics. In addition, the reachability of the system states under the developed SMC law is discussed via Lyapunov stability theory. Lastly, some simulation results are provided to show the effectiveness of the presented SMC methods.

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“…Hence, the nonlinear system is an important subject of interest to engineers, physicists, mathematicians, and scientists. Some engineering and scientific applications of the nonlinear systems can be found in [8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

FPGA Realization of Spherical Chaotic System with Application in Image Transmission

Nuñez-Perez

Adeyemi

Sandoval-Ibarra³

et al. 2021

Mathematical Problems in Engineering

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This paper considers a three-dimensional nonlinear dynamical system capable of generating spherical attractors. The main activity is the realization of a spherical chaotic attractor on Intel and Xilinx FPGA boards, with a focus on implementation of a secure communication system. The first major contribution is the successful synchronization of two chaotic spherical systems, in VHDL program, in a master-slave topology using Hamiltonian forms. The synchronization errors show that the two spherical chaotic systems synchronize in a very short time after which the error signals become zero. The second major contribution is the FPGA realization of a spherical chaotic attractor-based secure communication system, which involves encrypting both grayscale and RGB images with chaos and diffusion key at the transmitting system, sending the encrypted image via the state variables, and reconstructing the encrypted image at the receiving system. The Intel Stratix III and Xilinx Artix-7 AC701 results are the same as those of MATLAB. The statistical analyses of the encrypted and received images show that the implemented system is very effective, as it reveals high degree of randomness in the encrypted images with the entropy test, and the obtained correlation coefficient, which is zero, removes relativity between the original and encrypted images. Finally, the transmission system fully recovers the original grayscale and RGB images without loss of information.

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Finite-Time Extended Dissipative Filtering for Singular T–S Fuzzy Systems With Nonhomogeneous Markov Jumps

Cited by 68 publications

References 50 publications

A Novel Delay-Product-Type Functional Method to Extended Dissipativity Analysis for Markovian Jump Neural Networks

A Novel Delay-Product-Type Functional Method to Extended Dissipativity Analysis for Markovian Jump Neural Networks

Stabilization of two kinds of nonhomogeneous Markovian jump systems via sliding mode control

FPGA Realization of Spherical Chaotic System with Application in Image Transmission

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