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

Shi, Kaibo; Wang, Jun; Tang, Yuanyan; Zhong, Shouming

doi:10.1016/j.fss.2018.11.017

Cited by 295 publications

(71 citation statements)

References 67 publications

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“…The fractional calculus and q-calculus deal with the generalization of integration and differentiation of integer order to any order. It is known that fractional calculus is used for a better description of phenomena having both discrete and continuous behaviors, and applying in different sciences and engineering such as mechanics, electricity, biology, control theory, signal and image processing [1][2][3][4][5][6][7][8][9][10][11][12]. It has an old history and several fractional derivations where defined, such as the Caputo, the Riemann-Liouville and the Caputo and Fabrizio derivations.…”

Section: Introductionmentioning

confidence: 99%

New approach to solutions of a class of singular fractional q-differential problem via quantum calculus

Liang

Samei

2020

Adv Differ Equ

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In the present article, by using the fixed point technique and the Arzelà-Ascoli theorem on cones, we wish to investigate the existence of solutions for a non-linear problems regular and singular fractional q-differential equationx 3 ) and may be singular and c D α q the fractional Caputo type q-derivative. Of course, here we applied the definitions of the fractional q-derivative of Riemann-Liouville and Caputo type by presenting some examples with tables and algorithms; we will illustrate our results, too. MSC: Primary 34A08; 34B16; secondary 39A13

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Section: Introductionmentioning

confidence: 99%

New approach to solutions of a class of singular fractional q-differential problem via quantum calculus

Liang

Samei

2020

Adv Differ Equ

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“…If  i 1 =  and  i 2 = ∅, by using Schur Complement to (10) and (11), one can obtain from (A18) that { V(x(t), t, (t)) +  (t)} < 0.…”

Section: Resultsmentioning

confidence: 99%

“…In addition, time delays, which generally lead to undesirable situations including instability and oscillation of a system, are unavoidably encountered in signal transmission . Hence, to stabilize MJSs with time delays is important, and many interesting results have been reported . However, the transition rates (TRs) of all modes were assumed to be completely known or partially known.…”

Section: Introductionmentioning

confidence: 99%

“…[7][8][9] Hence, to stabilize MJSs with time delays is important, and many interesting results have been reported. [10][11][12][13][14] However, the transition rates (TRs) of all modes were assumed to be completely known or partially known. In practice, owing to certain technical restriction and the influence of uncertain factors, all TRs of some jumping modes may be completely unknown, which leads to a circumstance that the existing results are incapable to solve some practical problems.…”

Section: Introductionmentioning

confidence: 99%

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Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

Xie

Zhang

Zeng

et al. 2020

Intl J Robust & Nonlinear

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Summary This paper investigates the strictly dissipative stabilization problem for multiple‐memory Markov jump systems with network communication protocol. Firstly, for reducing data transmission, we put forward a novel mode‐dependent event‐triggered communication scheme based on aperiodically sampled data. Secondly, a Markov jump system with general transition rates is considered to make the result more applicable, where the transition rates of some jumping modes allow to be completely known, or partially known, or even completely unknown. Thirdly, a less restrictive Lyapunov‐Krasovskii functional, which is only required to be positive definite at end points of each subinterval of the holding intervals, is first introduced for event‐triggered control issue. Based on the above methods, a sufficient condition with less conservatism is obtained to ensure the stochastic stability and dissipativity of the resulting closed‐loop system. Meanwhile, an explicit design method of the desired controller is achieved. Finally, two numerical examples are presented to demonstrate the effectiveness and advantage of the proposed method.

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“…[1][2][3][4] Similarly, some people have studied the control problems of networked systems. [5][6][7][8] There exist centralized algorithms for various classes of resource allocation problems. 9 The algorithms introduced and analyzed in the work of Ibaraki and Katoh 9 are centralized in the sense that a central agent is supposed to have complete information about the problem and computes the optimal solution.…”

Section: Introductionmentioning

confidence: 99%

Distributed inexact dual consensus ADMM for network resource allocation

Long

Wang

et al. 2019

Optim Control Appl Methods

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Summary This paper investigates two novel distributed algorithms based on alternating direction method of multipliers (ADMM) for network resource allocation of N agents. The main objective is to derive an optimal allocation that minimizes a global objective expressed as a sum of locally known separable convex objective functions. Based on a communication matrix, the dual resource allocation problem is changed into a consensus optimization problem, in which each agent broadcasts the outcome of its local processing to all his neighbors. In this paper, we first propose a new distributed dual consensus ADMM (DC‐ADMM) algorithm to address this consensus problem. Moreover, by applying an inexact step for each ADMM update, a distributed inexact DC‐ADMM (IDC‐ADMM) is also developed, which enables agents to perform cheap computation at each iteration. Finally, numerical simulations are delivered to illustrate and validate the proposed algorithm.

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

Cited by 295 publications

References 67 publications

New approach to solutions of a class of singular fractional q-differential problem via quantum calculus

New approach to solutions of a class of singular fractional q-differential problem via quantum calculus

Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

Distributed inexact dual consensus ADMM for network resource allocation

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