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Distribution of Roots of Quasi-Polynomials of Neutral Type and Its Application- Part II: Consensus Protocol Design of Multi-Agent Systems Using Delayed State Information

Abstract

This article develops an approach to achieving consensus while improving the dynamic performance for a class of homogeneous multi-agent systems (MASs) using delayed state information via eigenvalue assignment. Note that the distribution of roots of quasi-polynomials plays a fundamental role in the consensus protocol design of the MASs. Some necessary conditions for the distribution of roots for a class of quasi-polynomials are first derived. Then, these conditions are applied to estimate the allowable regions of the protocol parameters. Next, some necessary and sufficient conditions for the determination of effective protocol parameters are established. An illustrative example is provided to show the effectiveness of the designed protocols.

article Article

date_range 2024

language English

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Wang Honghai

Han Qing-Long

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Featured Keywords

Eigenvalues and eigenfunctions

Consensus protocol

Delays

Network topology

Multi-agent systems

Laplace equations

Delay effects

Consensus protocol design

distribution of eigenvalues

dynamic performance

multi-agent systems (MASs)

time delay

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Effect of corrosion on flexural strength of reinforced concrete beams with polypropylene fibers

Abstract

An experimental study was performed to investigate the effects of polypropylene fibers on uncorroded and corroded reinforced concrete beams. Three different volume fractions of polypropylene fibers having 0, 0.5, and 1.5%, were tested at four corrosion levels of 0% and approximately 5, 7, and 9%. A full scale of an accelerated corrosion pool was used for the accelerated corrosion process. Reinforced concrete beams were used for an under monotonic bending test. The contribution of the actual corrosion levels of transverse and longitudinal reinforcement bars to the total corrosion levels were obtained from reinforcement bars fully extracted from concrete. Flexural strength, bond-slip, and moment-curvature relationships were examined for uncorroded and corroded reinforced concrete beams. A new model was developed to predict the flexural strength of corroded reinforced concrete beams. The proposed model for predicting the residual flexural strength of corroded beams was compared with test data published in previous studies. Furthermore, a novel model is presented for improved predictions between the actual and theoretically estimated corrosion mass losses, based on Faraday’s law, with the aid of fully extracted reinforcement bars. The model used to predict the flexural strength of corroded reinforced concrete beams with large sizes demonstrated good agreement with current and previously published literature data. In the case of corroded beams comprising differing amounts of polypropylene fibers, the performance of the corroded beams was limited by a fiber volume fraction of 1.5% at low corrosion levels.

article Article

date_range 2018

language English

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