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This article introduces a formation shape control algorithm, in the optimal control framework, for steering an initial population of agents to a desired configuration via employing the Gromov-Wasserstein distance. The underlying dynamical…

Optimization and Control · Mathematics 2025-03-28 Haruto Nakashima , Siddhartha Ganguly , Kohei Morimoto , Kenji Kashima

This paper proposes a novel formation maneuver control method for both 2-D and 3-D space, which enables the formation to translate, scale, and rotate with arbitrary orientation. The core innovation is the novel design of weights in the…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Xinzhe Zhou , Xuyang Wang , Xiaoming Duan , Yuzhu Bai , Jianping He

Controlling segregation is both a practical and a theoretical challenge. In this Letter we demonstrate a manner in which rotation-induced segregation may be controlled by altering the geometry of the rotating containers in which granular…

Soft Condensed Matter · Physics 2014-10-24 S. Gonzalez , C. R. K. Windows-Yule , S. Luding , D. J. Parker , A. R. Thornton

This work considers the distance constrained formation control problem with an additional constraint requiring that the formation exhibits a specified spatial symmetry. We employ recent results from the theory of symmetry-forced rigidity to…

Optimization and Control · Mathematics 2025-01-29 Daniel Zelazo , Shin-ichi Tanigawa , Bernd Schulze

This paper presents bilateral control laws for one-dimensional(1-D) linear 2x2 hyperbolic first-order systems (with spatially varying coefficients). Bilateral control means there are two actuators at each end of the domain. This situation…

Optimization and Control · Mathematics 2024-09-04 Wei Sun , Jing Li , Liangyu Xu

This letter presents two bearing-constrained formation tracking control protocols for multiple nonholonomic agents based respectively on the bearing vectors and displacements between the agents. The desired formation pattern of the system…

Optimization and Control · Mathematics 2022-02-15 Quoc Van Tran , Jinwhan Kim

Trajectory planning in dense, interactive traffic scenarios presents significant challenges for autonomous vehicles, primarily due to the uncertainty of human driver behavior and the non-convex nature of collision avoidance constraints.…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Erik Börve , Nikolce Murgovski , Leo Laine

A fundamental concept in control theory is that of controllability, where any system state can be reached through an appropriate choice of control inputs. Indeed, a large body of classical and modern approaches are designed for controllable…

Optimization and Control · Mathematics 2022-06-13 Yonathan Efroni , Sham Kakade , Akshay Krishnamurthy , Cyril Zhang

We study a novel principle for safe and efficient collision avoidance that adopts a mathematically elegant and general framework abstracting as much as possible from the controlled vehicle's dynamics and of its environment. Vehicle dynamics…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Qiang Wang , Dachuan Li , Joseph Sifakis

Many control applications require that a system be constrained to a particular set of states, often termed as safe set. A practical and flexible method for rendering safe sets forward-invariant involves computing control input using Control…

Optimization and Control · Mathematics 2021-06-11 James Usevitch , Kunal Garg , Dimitra Panagou

This paper presents a new control, namely additive-state-decomposition dynamic inversion stabilized control, that is used to stabilize a class of multi-input multi-output (MIMO) systems subject to nonparametric time-varying uncertainties…

Systems and Control · Computer Science 2020-03-10 Quan Quan , Guangxun Du , Kai-Yuan Cai

Control barrier functions (CBFs) offer a powerful tool for enforcing safety specifications in control synthesis. This paper deals with the problem of constructing valid CBFs. Given a second-order system and any desired safety set with…

Systems and Control · Electrical Eng. & Systems 2025-03-17 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

Stable aerial manipulation during dynamic tasks such as object catching, perching, or contact with rigid surfaces necessarily requires compliant behavior, which is often achieved via impedance control. Successful manipulation depends on how…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Amitabh Sharma , Saksham Gupta , Shivansh Pratap Singh , Rishabh Dev Yadav , Hongyu Song , Wei Pan , Spandan Roy , Simone Baldi

Recent developments in data-driven control have revived interest in the behavioral approach to systems theory, where systems are defined as sets of trajectories rather than being described by a specific model or representation. However,…

Optimization and Control · Mathematics 2026-04-08 L. P. Wieringa , A. Padoan , F. Dorfler , J. Eising

Neglecting complex aerodynamic effects hinders high-speed yet high-precision multirotor autonomy. In this paper, we present a computationally efficient learning-based model predictive controller that simultaneously optimizes a trajectory…

Robotics · Computer Science 2024-02-19 Babak Akbari , Melissa Greeff

This paper considers the collision avoidance problem in a multi-agent multi-obstacle framework. The originality in solving this intensively studied problem resides in the proposed geometrical view combined with differential flatness for…

Systems and Control · Computer Science 2016-03-17 Florin Stoican , Vlad-Mihai Ivanusca , Ionela Prodan

It is shown that an internal control based on a moving indicator function is able to stabilize the state of parabolic equations evolving in rectangular domains. For proving the stabilizability result, we start with a control obtained from…

Optimization and Control · Mathematics 2020-11-30 Behzad Azmi , Karl Kunisch , Sérgio S. Rodrigues

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

This study aims to design a motion/force controller for an aerial manipulator which guarantees the tracking of time-varying motion/force trajectories as well as the stability during the transition between free and contact motions. To this…

Robotics · Computer Science 2023-01-20 Jeonghyun Byun , Byeongjun Kim , Changhyeon Kim , Donggeon David Oh , H. Jin Kim

This paper introduces a safety filter to ensure collision avoidance for multirotor aerial robots. The proposed formalism leverages a single Composite Control Barrier Function from all position constraints acting on a third-order nonlinear…

Robotics · Computer Science 2025-02-07 Marvin Harms , Martin Jacquet , Kostas Alexis