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Magnetic microrobots can be navigated by an external magnetic field to autonomously move within living organisms with complex and unstructured environments. Potential applications include drug delivery, diagnostics, and therapeutic…

Robotics · Computer Science 2024-03-22 Yongyi Jia , Shu Miao , Junjian Zhou , Niandong Jiao , Lianqing Liu , Xiang Li

The paper deals with the problem of integration of equations of motion in nonholonomic systems. By means of well-known theory of the differential equations with an invariant measure the new integrable systems are discovered. Among them…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 V. V. Kozlov

This article studies the control ideas of the optimal backstepping technique, proposing an event-triggered optimal tracking control scheme for a class of strict-feedback nonlinear systems with non-affine and nonlinear faults. A simplified…

Optimization and Control · Mathematics 2024-06-13 Ling Wang , Xin Wang , Ziming Wang

This paper considers the problem of maintaining global connectivity of a multi-robot system while executing a desired coordination task. Our approach builds on optimization-based feedback design formulations, where the nominal cost function…

Optimization and Control · Mathematics 2023-06-29 Pio Ong , Beatrice Capelli , Lorenzo Sabattini , Jorge Cortes

In this paper, we consider the closed-loop control problem of nonlinear robotic systems in the presence of probabilistic uncertainties and disturbances. More precisely, we design a state feedback controller that minimizes deviations of the…

Robotics · Computer Science 2023-08-15 Weiqiao Han , Ashkan Jasour , Brian Williams

In the article the problem of output setpoint tracking for affine non-linear system is considered. Presented approach combines state feedback linearization and homotopy numerical continuation in subspaces of phase space where feedback…

Systems and Control · Computer Science 2012-07-02 Alex Borisevich , Gernot Schullerus

We introduce a notion of bounded variation solution for a new class of nonlinear control systems with ordinary and impulsive controls, in which the drift function depends not only on the state, but also on its past history, through a finite…

Optimization and Control · Mathematics 2023-07-25 Giovanni Fusco , Monica Motta

This article addresses the moving target enclosing control problem for nonholonomic multi-agent systems with guaranteed network connectivity and collision avoidance. We propose a novel control scheme to handle distance constraints imposed…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Boyin Zheng , Yahui Hao , Lu Liu

We consider a stochastic control problem which is composed of a controlled stochastic differential equation, and whose associated cost functional is defined through a controlled backward stochastic differential equation. Under appropriate…

Probability · Mathematics 2009-02-17 Rainer Buckdahn , Boubakeur Labed , Catherine Rainer , Lazhar Tamer

Controlling large-scale particle or robot systems is challenging because of their high dimensionality. We use a centralized stochastic approach that allows for optimal control at the cost of a central element instead of a decentralized…

Robotics · Computer Science 2021-08-25 Babak Salamat , Christopher Johannes Starck , Heiko Hamann

In this paper we consider the problem of the optimal control of an ensemble of affine-control systems. After proving the well-posedness of the minimization problem under examination, we establish a $\Gamma$-convergence result that allows us…

Optimization and Control · Mathematics 2023-11-20 Alessandro Scagliotti

In this paper, the tracking control problem of a class of uncertain Euler-Lagrange systems subjected to unknown input delay and bounded disturbances is addressed. To this front, a novel delay dependent control law, referred as Adaptive…

Systems and Control · Computer Science 2016-03-31 Spandan Roy , Indra Narayan Kar

This paper presents an adaptive haptic shared control framework wherein a driver and an automation system are physically connected through a motorized steering wheel. The automation system is modeled as an intelligent agent that is not only…

Systems and Control · Electrical Eng. & Systems 2020-07-16 Vahid Izadi , Amir H. Ghasemi

The main goal of this paper is developing the method of discrete approximations to derive necessary optimality conditions for a class of constrained sweeping processes with nonsmooth perturbations. Optimal control problems for sweeping…

Optimization and Control · Mathematics 2020-05-13 Boris S. Mordukhovich , Dao Nguyen

This note presents an embedded automatic control strategy for a low consumption vehicle equipped with an "on/off" engine. The main difficulties are the hybrid nature of the dynamics, the non smoothness of the dynamics of each mode, the…

Optimization and Control · Mathematics 2017-07-26 Thomas Chambrion , Gilles Millerioux

This paper presents a data-driven optimal control policy for a micro flapping wing unmanned aerial vehicle. First, a set of optimal trajectories are computed off-line based on a geometric formulation of dynamics that captures the nonlinear…

Robotics · Computer Science 2022-06-09 Tejaswi K. C. , Taeyoung Lee

This paper investigates stability properties of affine optimal control problems constrained by semilinear elliptic partial differential equations. This is done by studying the so called metric subregularity of the set-valued mapping…

Optimization and Control · Mathematics 2025-11-19 Alberto Domínguez Corella , Nicolai Jork , Vladimir Veliov

In this work we present the first systematic framework to sculpt active nematics systems, using optimal control theory and a hydrodynamic model of active nematics. We demonstrate the use of two different control fields, (1) applied…

Soft Condensed Matter · Physics 2020-10-28 Michael M. Norton , Piyush Grover , Michael F. Hagan , Seth Fraden

We present a novel method to address the problem of multi-vehicle conflict resolution in highly constrained spaces. An optimal control problem is formulated to incorporate nonlinear, non-holonomic vehicle dynamics and exact collision…

Robotics · Computer Science 2022-11-11 Xu Shen , Francesco Borrelli

We consider learning nonholonomic dynamical systems while discovering the constraints, and describe in detail the case of the rolling disk. A nonholonomic system is a system subject to nonholonomic constraints. Unlike holonomic constraints,…

Dynamical Systems · Mathematics 2025-11-04 Baiyue Wang , Anthony Bloch