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This article investigates discrete-time matrix-weighted consensus of multi-agent networks over undirected and connected graphs. We first present consensus protocols for the agents in common networks of symmetric matrix weights with possibly…

最优化与控制 · 数学 2021-03-25 Quoc Van Tran , Minh Hoang Trinh , Hyo-Sung Ahn

We introduce a novel Lyapunov function for stabilization of linear Vlasov--Fokker--Planck type equations with stiff source term. Contrary to existing results relying on transport properties to obtain stabilization, we present results based…

最优化与控制 · 数学 2020-02-12 Michael Herty , Shi Jin , Yuhua Zhu

This paper investigates the consensus problem of multiple uncertain Lagrangian systems. Due to the discontinuity resulted from the switching topology, achieving consensus in the context of uncertain Lagrangian systems is challenging. We…

系统与控制 · 计算机科学 2017-07-13 Hanlei Wang

This paper is concerned with the distributed control and stabilization problems for linear discrete-time large scale systems with imposed constraints. The main contributions of this paper are: Firstly, by using the maximum principle…

最优化与控制 · 数学 2018-01-03 Qingyuan Qi , Huanshui Zhang , Peijun Ju

Classical approaches for asymptotic convergence to the global average in a distributed fashion typically assume timely and reliable exchange of information between neighboring components of a given multi-component system. These assumptions…

多智能体系统 · 计算机科学 2013-02-25 Christoforos N. Hadjicostis , Themistoklis Charalambous

This paper focuses on the stability analysis of a formation shape displayed by a team of mobile robots that uses heterogeneous sensing mechanism. Depending on the convenience and reliability of the local information, each robot utilizes the…

系统与控制 · 电气工程与系统科学 2020-10-22 Nelson P. K. Chan , Bayu Jayawardhana , Hector Garcia de Marina

This paper establishes novel results regarding the global convergence properties of a large class of consensus protocols for multi-agent systems that evolve in continuous time on the n-dimensional unit sphere or n-sphere. For any connected,…

最优化与控制 · 数学 2017-09-13 Johan Markdahl , Johan Thunberg , Jorge Goncalves

We develop an asymptotical control theory for one of the simplest distributed oscillating systems, namely, for a closed string under a bounded load applied to a single distinguished point. We find exact classes of string states that admit…

最优化与控制 · 数学 2018-06-05 Aleksey Fedorov , Alexander Ovseevich

We study the problem of the minimum-time damping of a closed string under a bounded load, applied at a single fixed point. A constructive feedback control law is designed, which allows bringing the system to a bounded neighbourhood of the…

最优化与控制 · 数学 2017-05-19 Alexander Ovseevich , Aleksey Fedorov

This technical note addresses the distributed fixed-time consensus protocol design problem for multi-agent systems with general linear dynamics over directed communication graphs. By using motion planning approaches, a class of distributed…

系统与控制 · 计算机科学 2016-05-27 Yu Zhao , Yongfang Liu , Guanrong Chen

In this paper, a novel continuous non-smooth control strategy is proposed to achieve finite-time stabilization of ladder quantum systems. We first design a universal fractional-order control law for a ladder n-level quantum system using a…

最优化与控制 · 数学 2025-05-20 Zeping Su , Sen Kuang , Daoyi Dong

There are recent shifts in demand for design controllers from simplified to complex model-based. Although simplification approaches are successful in many areas of engineering control systems, high-fidelity simulation-based control design,…

系统与控制 · 电气工程与系统科学 2024-02-15 Jongrae Kim

This paper studies the use of vector Lyapunov functions for the design of globally stabilizing feedback laws for nonlinear systems. Recent results on vector Lyapunov functions are utilized. The main result of the paper shows that the…

最优化与控制 · 数学 2012-01-13 Iasson Karafyllis , Zhong-Ping Jiang

The finite-time attitude synchronization problem is considered in this paper, where the rotation of each rigid body is expressed using the axis-angle representation. Two discontinuous and distributed controllers using the vectorized signum…

最优化与控制 · 数学 2017-05-09 Jieqiang Wei , Silun Zhang , Antonio Adaldo , Johan Thunberg , Xiaoming Hu , Karl H. Johansson

In this paper we consider the problem of a multi-agent system achieving a formation in the presence of misbehaving or adversarial agents. We introduce a novel continuous time resilient controller to guarantee that normally behaving agents…

系统与控制 · 计算机科学 2021-06-11 James Usevitch , Kunal Garg , Dimitra Panagou

This paper introduces a conception that any weighted directed network topology is almost decouplable, which can help to transform the topology into a similar form being composed of uncoupled vertices, and thus reduce the complexity of…

系统与控制 · 计算机科学 2014-08-05 Ning Cai , M. Junaid Khan

We provide several characterizations of convergence to unstable equilibria in nonlinear systems. Our current contribution is three-fold. First we present simple algebraic conditions for establishing local convergence of non-trivial…

动力系统 · 数学 2016-11-17 A. N. Gorban , I. Yu. Tyukin , H. Nijmeijer

In this paper, we develop new methods for the analysis of decentralized control systems and we apply them to formation control problems. The basic set-up consists of a system with multiple agents corresponding to the nodes of a graph whose…

最优化与控制 · 数学 2011-01-20 M. -A. Belabbas

This paper presents converse theorems for safety in terms of barrier functions for unconstrained continuous-time systems modeled as differential inclusions. Via a counterexample, we show the lack of existence of autonomous and continuous…

最优化与控制 · 数学 2023-04-06 Mohamed Maghenem , Ricardo. G. Sanfelice

This paper investigates asymptotic fixed point results for nonlinear contractions, with emphasis on Kirk-type theorems and their generalizations. A central difficulty in the literature has been the requirement that the mapping possesses a…

泛函分析 · 数学 2025-07-09 Hassan Khandani