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Reinforcement learning is an emerging approach to control dynamical systems for which classical approaches are difficult to apply. However, trained agents may not generalize against the variations of system parameters. This paper presents…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Abdel Gafoor Haddad , Igor Boiko , Yahya Zweiri

In contrast to conservative systems, in nonlinear media with gain and loss the dynamics of localized topological structures can exhibit unique features that can be controlled externally. We propose a robust mechanism to perform topological…

Pattern Formation and Solitons · Physics 2019-12-11 B. A. Kochetov , O. G. Chelpanova , V. R. Tuz , A. I. Yakimenko

This paper studies distributed formation control of multiple agents in the plane using bearing-only measurements. It is assumed that each agent only measures the local bearings of their neighbor agents. The target formation considered in…

Systems and Control · Computer Science 2012-10-31 Shiyu Zhao , Feng Lin , Kemao Peng , Ben M. Chen , Tong H. Lee

This paper presents an algorithmic method to study structural properties of nonlinear control systems in dependence of parameters. The result consists of a description of parameter configurations which cause different control-theoretic…

Optimization and Control · Mathematics 2012-12-04 Markus Lange-Hegermann , Daniel Robertz

This paper studies the problem of distributed formation maneuver control of multi-agent systems via complex Laplacian. We will show how to change the translation, scaling, rotation, and also the shape of formation continuously by only…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Xu Fang , Lihua Xie

This paper focuses on coordinating a robot swarm orbiting a convex path without collisions among the individuals. The individual robots lack braking capabilities and can only adjust their courses while maintaining their constant but…

Robotics · Computer Science 2024-02-22 Jesús Bautista , Héctor García de Marina

In this paper we present two different results in the context of nonlinear analysis. The first one is essentially a nonlinear technique that, in view of its strong generality, may be useful in different practical problems. The second…

Functional Analysis · Mathematics 2015-10-02 Daniel Pellegrino , Joedson Santos , Juan B. Seoane-Sepúlveda

We present a novel technique to drive a nonlinear system to reach a target state under input constraints. The proposed controller consists only of piecewise constant inputs, generated from a simple linear driftless approximation to the…

Optimization and Control · Mathematics 2025-09-09 Ram Padmanabhan , Melkior Ornik

The reliable and precise generation of quantum unitary transformations is essential to the realization of a number of fundamental objectives, such as quantum control and quantum information processing. Prior work has explored the optimal…

Quantum Physics · Physics 2010-07-21 Michael Hsieh , Rebing Wu , Herschel Rabitz , Daniel Lidar

In this letter, we investigate the formation control problem of mobile robots moving in the plane where, instead of assuming robots to be simple points, each robot is assumed to have the form of a disk with equal radius. Based on interior…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Nelson P. K. Chan , Bayu Jayawardhana , Hector Garcia de Marina

Conservation laws are key theoretical and practical tools for understanding, characterizing, and modeling nonlinear dynamical systems. However, for many complex systems, the corresponding conserved quantities are difficult to identify,…

Computational Physics · Physics 2023-08-23 Peter Y. Lu , Rumen Dangovski , Marin Soljačić

This paper presents a new model-based algorithm that computes predictive optimal controls on-line and in closed loop for traditionally challenging nonlinear systems. Examples demonstrate the same algorithm controlling hybrid impulsive,…

Robotics · Computer Science 2017-09-04 Alex Ansari , Todd Murphey

This Technical Note presents a simple control approach for global trajectory tracking and formation control of underactuated surface vessels equipped with only two propellers. The control approach exploits the inherent cascaded structure of…

Systems and Control · Electrical Eng. & Systems 2025-03-31 Bo Wang , Antonio Loria

We introduce a class of distributed nonlinear control systems, termed as the flow-tracker dynamics, which capture phenomena where the average state is controlled by the average control input, with no individual agent has direct access to…

Optimization and Control · Mathematics 2022-11-09 Behrouz Touri , Bahman Gharesifard

We present a general control-theoretic framework for constructing and analyzing random decoupling schemes, applicable to quantum dynamical control of arbitrary finite-dimensional composite systems. The basic idea is to design the control…

Quantum Physics · Physics 2009-11-11 Lorenza Viola , Emanuel Knill

Novel nonlinear damping control is proposed for the second-order systems. The proportional output feedback is combined with the damping term which is quadratic to the output derivative and inverse to the set-point distance. The global…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Michael Ruderman

Formation control deals with the design of decentralized control laws that stabilize mobile, autonomous agents at prescribed distances from each other. We call any configuration of the agents a target configuration if it satisfies the…

Dynamical Systems · Mathematics 2016-05-23 Xudong Chen , M. -A. Belabbas , Tamer Başar

In this paper we introduce a new method to design control laws for non-linear underactuated systems. Our method produces an infinite dimensional family of control laws, whereas most control techniques only produce a finite dimensional…

Optimization and Control · Mathematics 2007-05-23 Dave Auckly , Lev Kapitanski , Warren White

The problem of stabilization of unstable periodic orbits of discrete nonlinear systems is considered in the article. A new generalization of the delayed feedback, which solves the stabilization problem, is proposed. The feedback is…

Chaotic Dynamics · Physics 2017-10-02 D. Dmitrishin , A. Stokolos , I. Skrynnik , E. Franzheva

Model-free learning-based control methods have seen great success recently. However, such methods typically suffer from poor sample complexity and limited convergence guarantees. This is in sharp contrast to classical model-based control,…

Optimization and Control · Mathematics 2020-06-16 Guannan Qu , Chenkai Yu , Steven Low , Adam Wierman