[图书][B] Computational methods in the fractional calculus of variations

R Almeida, S Pooseh, DFM Torres - 2015 - books.google.com
This book fills a gap in the literature by introducing numerical techniques to solve problems
of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such …

Leader-following consensus of fractional-order multi-agent systems under fixed topology

Z Yu, H Jiang, C Hu - Neurocomputing, 2015 - Elsevier
The leader-following consensus problem of fractional-order multi-agent systems is
considered. In the system, the dynamics of each agent and leader are nonlinear systems …

Necessary and sufficient conditions for consensus of fractional-order multiagent systems via sampled-data control

Z Yu, H Jiang, C Hu, J Yu - IEEE transactions on cybernetics, 2017 - ieeexplore.ieee.org
In this paper, the consensus of fractional-order multiagent systems (FOMASs) is considered
via sampled-data control over directed communication topology with the order 0<; α<; 1. Two …

Adaptive neural control of non‐linear fractional order multi‐agent systems in the presence of error constraints and input saturation

F Mohammadzamani, M Hashemi… - IET Control Theory & …, 2022 - Wiley Online Library
This paper presents a tracking control problem for fractional order multi‐agent systems in the
presence of uncertainties. The study takes into account the problems of error constraints …

Adaptive robust tracking control for multiple unknown fractional-order nonlinear systems

P Gong, W Lan - IEEE transactions on cybernetics, 2018 - ieeexplore.ieee.org
By applying the fractional Lyapunov direct method, we investigate the robust consensus
tracking problem for a class of uncertain fractional-order multiagent systems with a leader …

Necessary and sufficient conditions for consensus of delayed fractional‐order systems

J Shen, J Cao - Asian Journal of Control, 2012 - Wiley Online Library
In this paper, we study the consensus problem of fractional‐order systems with input delays.
Using L aplace transform method, the stability of the fractional‐order systems is first …

Necessary and sufficient conditions for consensus in fractional-order multiagent systems via sampled data over directed graph

H Su, Y Ye, X Chen, H He - IEEE Transactions on Systems …, 2019 - ieeexplore.ieee.org
This paper studies the consensus in fractional-order multiagent systems over directed graph
via sampled-data control method. A distributed control protocol using the sampled position …

Consensus of fractional‐order heterogeneous multi‐agent systems

X Yin, D Yue, S Hu - IET Control Theory & Applications, 2013 - Wiley Online Library
This study is devoted to the consensus protocols design for a set of fractional‐order
heterogeneous agents, which is composed of two kinds of agents differed by their dynamics …

Distributed adaptive event-triggered control for attitude synchronization of multiple spacecraft

C Xu, B Wu, X Cao, Y Zhang - Nonlinear Dynamics, 2019 - Springer
This paper investigates the problem of attitude synchronization tracking of multiple
spacecraft in the presence of limited inter-spacecraft communication, model uncertainties …

Why do big data and machine learning entail the fractional dynamics?

H Niu, YQ Chen, BJ West - Entropy, 2021 - mdpi.com
Fractional-order calculus is about the differentiation and integration of non-integer orders.
Fractional calculus (FC) is based on fractional-order thinking (FOT) and has been shown to …