A new result on H∞ performance state estimation for static neural networks with time-varying delays

Tian, Yufeng; Wang, Zhanshan

doi:10.1016/j.amc.2020.125556

Cited by 15 publications

(8 citation statements)

References 28 publications

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“…Based on the linear matrix inequalities technique [45] and the Lyapunov functional method [38,46], this section aims to develop some new conditions which can ensure the synchronization between complex dynamical network models ( 17) and ( 18) over a finite-time interval.…”

Section: Global Finite-time Synchronizationmentioning

confidence: 99%

Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

Zhang

et al. 2021

Mathematical Problems in Engineering

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This paper is concerned with the global finite-time and fixed-time synchronization for a class of discontinuous complex dynamical networks with semi-Markovian switching and mixed time-varying delays. The novel state-feedback controllers, which include integral terms and discontinuous facts, are designed to realize the global synchronization between the drive system and response system. By applying the Lyapunov functional method and matrix inequality analysis technique, the global finite-time and fixed-time synchronization conditions are addressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the feasibility of the proposed control scheme and the validity of theoretical results.

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Section: Global Finite-time Synchronizationmentioning

confidence: 99%

Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

Zhang

et al. 2021

Mathematical Problems in Engineering

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“…e problem of H∞ performance state estimation is investigated leading to performance improvement and difficulty reduction [35]. Based on the above research, switching dynamical hierarchical networks with time-varying delay, analyzing dissipativity, and estimating H∞ performance state are the direction of our further research.…”

Section: Remarkmentioning

confidence: 99%

Layered Synchronization and Identification of Uncertain Delayed Hierarchical Networks

Chai

Zhang

2021

Mathematical Problems in Engineering

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This paper investigates the layered synchronization and identification of uncertain delayed hierarchical networks, featured by highlights in three aspects: first, the presentation of a multilayered delayed network model, which can be regarded as a 3D stereochemical structure in compliance with the ever-developing trend of hierarchical network modeling structure; second, the design of a multi-identification scheme combined with uncertain delayed hierarchical networks, which matches the unknown and hierarchical properties of the proposed networks; and third, the construction of a layered control method of Lyapunov function, which synthesizes the factors of the unknown, time delay and hierarchy. Based on these points, the laws of layered synchronization between drive hierarchical networks (DHNs) and response hierarchical networks (RHNs) are derived, the dual identification criteria for monitoring topological structures and identifying system parameters, respectively, are provided, and the hierarchical multiformity of the proposed method is validated through abundant numerical simulations in the end.

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“…Model predictive control, 2 fuzzy control, 3 and PI control 4 have been extensively used in LFC. In contrast, PI control has better robustness and does not depend on the accurate model of the power system, which is the most widely implemented control method in the current industrial field 5‐23 …”

Section: Introductionmentioning

confidence: 99%

“…In deregulated electricity environment, open communication links bring some network‐induced challenge, including communication delays and bandwidth limitation, etc. On the one hand, the presence of communication delays may deteriorate the performance of the system and even cause instability 5‐7 . Thus, researches on delay‐dependent LFC of power system have long been an active issue 8‐11 .…”

Section: Introductionmentioning

confidence: 99%

Dynamic event‐triggered H_∞ load frequency control for multi‐area power systems with communication delays

Wang

Tian

2021

Intl J Robust & Nonlinear

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This paper investigates dynamic event‐triggered H∞ load frequency control for multi‐area power systems with communication delays. A novel co‐design method of trigger parameters and H∞ controller based on output feedback is proposed. Unlike routine multiplication operations, this method eliminates rank constraints on the input and output matrices, and avoids the processing of nonlinear terms related to the trigger parameters. Furthermore, under the presented dynamic event‐triggered mechanism, the threshold parameters are dynamically regulated according to the dynamic variation of the system. Therefore, the average data releasing rate can be adjusted in real time to better coordinate the use of network bandwidth resources and requirements of system dynamic performance. Specially, the usage of the infinite‐series‐based inequality and reciprocally convex combination inequality effectively reduces conservatism of the criteria. Finally, some simulations and related comparisons are carried out to demonstrate superiorities of the proposed method.

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A new result on H∞ performance state estimation for static neural networks with time-varying delays

Cited by 15 publications

References 28 publications

Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

Layered Synchronization and Identification of Uncertain Delayed Hierarchical Networks

Dynamic event‐triggered H_∞ load frequency control for multi‐area power systems with communication delays

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A new result on H∞ performance state estimation for static neural networks with time-varying delays

Cited by 15 publications

References 28 publications

Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

Layered Synchronization and Identification of Uncertain Delayed Hierarchical Networks

Dynamic event‐triggered H∞ load frequency control for multi‐area power systems with communication delays

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Product

Resources

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Dynamic event‐triggered H_∞ load frequency control for multi‐area power systems with communication delays