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In affine formation control problems, the construction of the framework with universal rigidity and affine localizability is a critical prerequisite, but it has not yet been well addressed, especially when additional agents join the…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Huiming Li , Hao Chen , Xiangke Wang , Zhongkui Li , Lincheng Shen

Practical stabilization of input-affine systems in the presence of measurement errors and input constraints is considered in this brief note. Assuming that a Lyapunov function and a stabilizing control exist for an input-affine system, the…

Systems and Control · Electrical Eng. & Systems 2025-01-16 Patrick Schmidt , Pavel Osinenko , Stefan Streif

This paper studies the integrated position and attitude control problem for multi-agent systems of 3D rigid bodies. While the state-of-the-art method in [Olfati-Saber and Murray, 2004] established the theoretical foundation for rigid-body…

Optimization and Control · Mathematics 2025-08-15 Chunfeng Cui , Liqun Qi , Hao Chen , Xiangke Wang

This work addresses the practical problem of distributed formation tracking control of a group of quadrotor vehicles in a relaxed sensing graph topology with a very limited sensor set, where only one leader vehicle can access the global…

Systems and Control · Electrical Eng. & Systems 2026-01-21 S. Doodeman , Z. Tang , M. Jacinto , R. Cunha , C. Silvestre

This work develops a symmetry-based framework for formation control on cycle graphs using Dihedral point-group constraints. We show that enforcing inter-agent reflection symmetries, together with anchoring a single designated agent to its…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Zamir Martinez , Daniel Zelazo

In this paper, for continuous, linearly-controllable quadratic control systems with a single input, an explicit, constructive method is proposed for studying their Brunovsky forms, initially studied in [W. Kang and A. J. Krener, Extended…

Optimization and Control · Mathematics 2007-05-23 Wen-Long Jin

In this article, we consider a stochastic linear quadratic control problem with partial observation. A near optimal control in the weak formulation is characterized. The main features of this paper are the presence of the control in the…

Optimization and Control · Mathematics 2026-02-27 Jingrui Sun , Jiaqiang Wen , Jie Xiong , Wen Xu

This paper investigates a distributed formation tracking control law for large-scale networks of mechanical systems. In particular, the formation network is represented by a directed communication graph with leaders and followers, where…

Systems and Control · Electrical Eng. & Systems 2022-03-18 N. Javanmardi , P. Borja , M. J. Yazdanpanah , J. M. A. Scherpen

The condition of a quantum Lyapunov-based control which can be well used in a closed quantum system is that the method can make the system convergent but not just stable. In the convergence study of the quantum Lyapunov control, two…

Mathematical Physics · Physics 2014-01-14 Shuang Cong , Fangfang Meng

We derive a saturated feedback control, which locally stabilizes a linear reaction-diffusion equation. In contrast to most other works on this topic, we do not assume the Lyapunov stability of the uncontrolled system and consider general…

Optimization and Control · Mathematics 2020-07-07 Andrii Mironchenko , Christophe Prieur , Fabian Wirth

This paper considers a leader-following formation control problem for heterogeneous, second-order, uncertain, input-affine, nonlinear multi-agent systems modeled by a directed graph. A tunable, three-layer neural network (NN) is proposed…

Systems and Control · Electrical Eng. & Systems 2024-04-24 Kiarash Aryankia , Rastko R. Selmic

This paper studies the problem of constructing control Lyapunov functions (CLFs) and feedback stabilization strategies for deterministic nonlinear control systems described by ordinary differential equations. Many numerical methods for…

Optimization and Control · Mathematics 2024-09-23 Ivan Yegorov , Peter M. Dower , Lars Grüne

This paper proposes a decentralized approach for solving the problem of moving a swarm of agents into a desired formation. We propose a decentralized assignment algorithm which prescribes goals to each agent using only local information.…

Optimization and Control · Mathematics 2020-05-06 Logan Beaver , Andreas Malikopoulos

In this paper, we propose a distance-based formation control strategy that can enable four mobile agents, which are modelled by a group of single-integrators, to achieve the desired formation shape specified by using six consistent…

Systems and Control · Computer Science 2016-06-07 Myoung-Chul Park , Zhiyong Sun , Minh Hoang Trinh , Brian D. O. Anderson , Hyo-Sung Ahn

A cascaded online learning flight control system has been developed and enhanced with respect to action smoothness. In this paper, we investigate the convergence performance of the control system, characterized by the increment of a…

Artificial Intelligence · Computer Science 2025-10-28 Yifei Li , Erik-Jan van Kampen

The problem of multi-agent formation control for target tracking is considered in this paper. The target is an irregular dynamic shape approximated by a circle with moving centre and varying radius. It is assumed that there are n agents and…

Optimization and Control · Mathematics 2018-09-25 Joana Fonseca , Jieqiang Wei , Karl H. Johansson , Tor Arne Johansen

In this paper, the decentralized estimation and linear quadratic (LQ) control problem for a leader-follower networked system (LFNS) is studied from the perspective of asymmetric information. Specifically, for a leader-follower network, the…

Optimization and Control · Mathematics 2025-09-22 Yiting Luo , Wei Wang , Qingyuan Qi , Yang Liu , Jian Xu

This paper presents a new method for synthesizing stochastic control Lyapunov functions for a class of nonlinear stochastic control systems. The technique relies on a transformation of the classical nonlinear Hamilton-Jacobi-Bellman partial…

Optimization and Control · Mathematics 2017-09-07 Yoke Peng Leong , Matanya B. Horowitz , Joel W. Burdick

Formation control problems can be expressed as linear quadratic discrete-time games (LQDTG) for which Nash equilibrium solutions are sought. However, solving such problems requires solving coupled Riccati equations, which cannot be done in…

Optimization and Control · Mathematics 2023-09-06 Prima Aditya , Herbert Werner

In this work we show that given a nonlinear programming problem, it is possible to construct a family of dynamical systems defined on the feasible set of the given problem, so that: (a) the equilibrium points are the unknown critical points…

Optimization and Control · Mathematics 2012-11-07 Iasson Karafyllis
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