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Journal ArticleDOI

Nonlinear fixed-time control protocol for uniform allocation of agents on a segment

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TLDR
In this article, a nonlinear control protocol that ensures finite-time equidistant allocation on a segment is proposed, where any settling time can be guaranteed regardless of the initial conditions.
Abstract
The paper addresses the problem of row straightening of agents via local interactions. A nonlinear control protocol that ensures finite-time equidistant allocation on a segment is proposed. With the designed protocol, any settling time can be guaranteed regardless of the initial conditions. A robust modification of the control algorithm based on sliding mode control technique is presented. The case of multidimensional agents is also considered. The theoretical results are illustrated via numerical simulations.

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Citations
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Journal ArticleDOI

Fixed-time synchronization of delayed memristor-based recurrent neural networks

TL;DR: This paper focuses on the fixed-time synchronization control methodology for a class of delayed memristor-based recurrent neural networks, based on Lyapunov functionals, analytical techniques, and together with novel control algorithms that can be adjusted to desired values regardless of the initial conditions.
Journal ArticleDOI

Fixed-time consensus algorithm for multi-agent systems with integrator dynamics

TL;DR: In this article, a nonlinear control protocol which ensures a finite-time convergence is proposed, where the communication topology is defined by a weighted undirected graph and the agents are represented by integrators.
Journal ArticleDOI

Finite-Time Bipartite Consensus for Multi-Agent Systems on Directed Signed Networks

TL;DR: This paper addresses the finite-time bipartite consensus problem for multi-agent systems (MASs) on a directed signed network and develops two nonlinear control protocols for first- and second-order MASs, respectively, where agents may be influenced by bounded disturbances.
Journal ArticleDOI

Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions

TL;DR: To accomplish the target of fixed-time synchronization, a novel feedback control procedure is designed for the slave neural networks by means of the Filippov discontinuity theories and Lyapunov stability theories, and an upper bound of the settling time is acquired.
Journal ArticleDOI

Fixed-time synchronization of inertial memristor-based neural networks with discrete delay

TL;DR: Four different kinds of feedback controllers are designed, under which the considered inertial memristor-based neural networks can realize fixed-time synchronization perfectly and the obtained fixed- time synchronization criteria can be verified by algebraic operations.
References
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Journal ArticleDOI

Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems

TL;DR: Two types of nonlinear control algorithms are presented for uncertain linear plants, stabilizing polynomial feedbacks that allow to adjust a guaranteed convergence time of system trajectories into a prespecified neighborhood of the origin independently on initial conditions.
Book

Sliding Mode Control in Electro-mechanical Systems

TL;DR: The design approach based on the regularization is generalized for mechanical systems and it is shown that stability of zero dynamics should be taken into account when the regular form consists of blocks of second-order equations.
Book

Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues

Wei Ren, +1 more
TL;DR: In this paper, the authors introduce distributed coordination of multi-agent networks, including collective periodic motion coordination, collective tracking with a dynamic leader, and containment control with multiple leaders, and explore ideas for their solution.
Book

Distributed Coordination of Multi-agent Networks

Wei Ren, +1 more
TL;DR: This distributed coordination of multi agent networks book will probably make you feel curious and help you to have willing to reach all benefits.
Book ChapterDOI

Sliding mode control

TL;DR: The sliding mode control approach is recognized as an efficient tool to design robust controllers for complex high-order nonlinear dynamic plant operating under uncertain conditions as mentioned in this paper, and has received much more attention from the international control community within the last two decades.
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