Passivity Analysis of Fractional-Order Neutral-Type Fuzzy Cellular BAM Neural Networks with Time-Varying Delays

Ali, M. Syed; Hymavathi, M.; Alsulami, Hamed; Saeed, Tareq; Ahmad, Bashir

doi:10.1155/2022/9035736

Cited by 4 publications

(3 citation statements)

References 63 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Variable. Table 8 shows the results of the sufficiency analysis [39][40][41][42][43][44][45] when the solution efficiency is taken as an antecedent variable. Using the same classification method, the results are divided into three categories.…”

Section: Sufficiency Analysis Of Solution Efficiency As An Antecedentmentioning

confidence: 99%

Knowledge Sharing Efficiency Analysis Model Design of Internet Open Innovation Community

Wang

Nie

2022

Scientific Programming

View full text Add to dashboard Cite

The emergence of Internet technology has changed the technological innovation path and knowledge acquisition paradigm of enterprises and promoted the construction of digital technology, digital platform, and digital infrastructure. A large number of companies have begun to create brand communities and obtain suggestions for product improvement and innovation from the communities. However, obtaining innovative opinions and inspiration through the community to the final realization is not achieved overnight. It needs to go through the process of knowledge sharing to user interaction, from user interaction to knowledge creation and discovery and from knowledge discovery to innovation contribution. To study the efficiency of Internet community innovation, it is necessary to decompose the innovation process into two parts: problem adoption and problem solution, and then analyze them separately to get the influence combination and path. Taking Xiaomi (one of the world’s largest mobile phone manufacturers) online community as an example, this article decomposes the process of issue solution into adoption stage and solution stage by crawling the relevant data of posts through web crawlers, takes the adoption efficiency and problem-solving efficiency as antecedents, and uses fuzzy set qualitative comparative analysis method to analyze the combination of conditions that affect the former two. It is of great significance to improve the knowledge sharing and innovation research of the open innovation community.

show abstract

Section: Sufficiency Analysis Of Solution Efficiency As An Antecedentmentioning

confidence: 99%

Knowledge Sharing Efficiency Analysis Model Design of Internet Open Innovation Community

Wang

Nie

2022

Scientific Programming

View full text Add to dashboard Cite

show abstract

“…It is natural that this type of delay was also added to neural network models, because they have been seen to appear when VLSI circuits are used for implementing neural networks. FONNs with neutral-type delays were the focus of the following recent papers: [20,21,26,[57][58][59].…”

Section: Introductionmentioning

confidence: 99%

Asymptotic and Mittag–Leffler Synchronization of Fractional-Order Octonion-Valued Neural Networks with Neutral-Type and Mixed Delays

Popa

2023

Fractal Fract

View full text Add to dashboard Cite

Very recently, a different generalization of real-valued neural networks (RVNNs) to multidimensional domains beside the complex-valued neural networks (CVNNs), quaternion-valued neural networks (QVNNs), and Clifford-valued neural networks (ClVNNs) has appeared, namely octonion-valued neural networks (OVNNs), which are not a subset of ClVNNs. They are defined on the octonion algebra, which is an 8D algebra over the reals, and is also the only other normed division algebra that can be defined over the reals beside the complex and quaternion algebras. On the other hand, fractional-order neural networks (FONNs) have also been very intensively researched in the recent past. Thus, the present work combines FONNs and OVNNs and puts forward a fractional-order octonion-valued neural network (FOOVNN) with neutral-type, time-varying, and distributed delays, a very general model not yet discussed in the literature, to our awareness. Sufficient criteria expressed as linear matrix inequalities (LMIs) and algebraic inequalities are deduced, which ensure the asymptotic and Mittag–Leffler synchronization properties of the proposed model by decomposing the OVNN system of equations into a real-valued one, in order to avoid the non-associativity problem of the octonion algebra. To accomplish synchronization, we use two different state feedback controllers, two different types of Lyapunov-like functionals in conjunction with two Halanay-type lemmas for FONNs, the free-weighting matrix method, a classical lemma, and Young’s inequality. The four theorems presented in the paper are each illustrated by a numerical example.

show abstract

“…It is completely found out that the reason of H ∞ controllers/ lters is to assure the closed-loop error systems are stable with an H ∞ norm bound restricted to disturbance attenuation [18,19]. On the other hand, the Mixed H ∞ and passivity control has been proved [20,21]. Recently, state feedback H ∞ control of commensurate fractional-order systems and H ∞ model reduction for positive fractionalorder systems were investigated in [22,23].…”

Section: Introductionmentioning

confidence: 99%

Mixed $ℋ_{\infty}$ and Passivity Analysis of Delayed Fractional-Order Complex Dynamical Networks with Hybrid Coupling

Alsulami

Ali

Hymavathi

et al. 2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

In this article, global asymptotic stability analysis, and mixed ℋ ∞ and passive control for a class of control fractional-order systems is investigated. Based on the fractional-order Lyapunov stability theorem and some properties of fractional calculus, we propose sufficient conditions to ensure the mixed ℋ ∞ and passivity performance. More relaxed conditions by employing the new type of augmented matrices by using Kronecker product terms can be handled, which can be introduced. The derived criteria are expressed in terms of linear matrix inequalities that which can be checked numerically using toolbox MATLAB. Finally, two numerical examples are provided to demonstrate the correctness of the proposed results.

show abstract

Passivity Analysis of Fractional-Order Neutral-Type Fuzzy Cellular BAM Neural Networks with Time-Varying Delays

Cited by 4 publications

References 63 publications

Knowledge Sharing Efficiency Analysis Model Design of Internet Open Innovation Community

Knowledge Sharing Efficiency Analysis Model Design of Internet Open Innovation Community

Asymptotic and Mittag–Leffler Synchronization of Fractional-Order Octonion-Valued Neural Networks with Neutral-Type and Mixed Delays

Mixed $ℋ_{\infty}$ and Passivity Analysis of Delayed Fractional-Order Complex Dynamical Networks with Hybrid Coupling

Contact Info

Product

Resources

About

Passivity Analysis of Fractional-Order Neutral-Type Fuzzy Cellular BAM Neural Networks with Time-Varying Delays

Cited by 4 publications

References 63 publications

Knowledge Sharing Efficiency Analysis Model Design of Internet Open Innovation Community

Knowledge Sharing Efficiency Analysis Model Design of Internet Open Innovation Community

Asymptotic and Mittag–Leffler Synchronization of Fractional-Order Octonion-Valued Neural Networks with Neutral-Type and Mixed Delays

Mixed ℋ ∞ and Passivity Analysis of Delayed Fractional-Order Complex Dynamical Networks with Hybrid Coupling

Contact Info

Product

Resources

About

Mixed $ℋ_{\infty}$ and Passivity Analysis of Delayed Fractional-Order Complex Dynamical Networks with Hybrid Coupling