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Spacecraft relative motion planning is concerned with the design and execution of maneuvers relative to a nominal target. These types of maneuvers are frequently utilized in missions such as rendezvous and docking, satellite inspection and…

Optimization and Control · Mathematics 2017-06-22 Gregory R. Frey , Christopher D. Petersen , Frederick A. Leve , Ilya V. Kolmanovsky , Anouck R. Girard

Field-based reactive control provides a minimalist, decentralized route to guiding robots that lack onboard computation. Such schemes are well suited to resource-limited machines like microrobots, yet implementation artifacts, limited…

Robotics · Computer Science 2025-03-18 William H. Reinhardt , Marc Z. Miskin

A scientific analysis of the conditions under which gravity could be controlled and the implications that an hypothetical manipulation of gravity would have for known schemes of space propulsion have been the scope of a recent study carried…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. Bertolami , M. Tajmar

This paper considers the prescribed performance control (PPC) of spacecraft attitude tracking under multiple physical constraints, focusing on the robust issues. A novel Barrier Lyapunov function is proposed to realize the…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Jiakun Lei , Tao Meng , Weijia Wang , Chengjin Yin , Zhonghe Jin

In this paper we consider the problem of controlling pointwise, by means of a time dependent Dirac measure supported by a given point, a coupled system of two Korteweg-de Vries equations on the unit circle. More precisely, by means of…

Analysis of PDEs · Mathematics 2021-07-26 Roberto A. Capistrano-Filho , Vilmos Komornik , Ademir F. Pazoto

In this paper, we consider the controlled rigid spacecraft with an internal rotor as a regular point reducible regular controlled Hamiltonian (RCH) system. In the cases of coincident and non-coincident centers of buoyancy and gravity, we…

Dynamical Systems · Mathematics 2020-05-22 Hong Wang

This paper proposes a novel lifting method which converts the standard discrete-time linear periodic system to an augmented linear time-invariant system. The linear quadratic optimal control is then based on the solution of the…

Optimization and Control · Mathematics 2018-06-21 Yaguang Yang

For linear control systems in discrete time controllability properties are characterized. In particular, a unique control set with nonvoid interior exists and it is bounded in the hyperbolic case. Then a formula for the invariance pressure…

Optimization and Control · Mathematics 2021-05-18 Fritz Colonius , João A. N. Cossich , Alexandre J. Santana

We consider a bilinear control problem for the wave equation on a torus of arbitrary dimension. We show that the system is globally approximately controllable in arbitrarily small times from a dense family of initial states. The control…

Optimization and Control · Mathematics 2023-05-22 Eugenio Pozzoli

This paper considers the controllability analysis problem for a class of multirotor systems subject to rotor failure/wear. It is shown that classical controllability theories of linear systems are not sufficient to test the controllability…

Systems and Control · Computer Science 2016-02-23 Guang-Xun Du , Quan Quan , Binxian Yang , Kai-Yuan Cai

The paper contributes towards the development of a unified control approach for longitudinal aircraft dynamics with large flight envelopes. Prior to the control design, we analyze the existence and the uniqueness of the equilibrium…

Systems and Control · Computer Science 2017-06-19 Daniele Pucci

This paper studies a time optimal control problem with control constraints of the rectangular type for the linear multi-input time-varying ordinary differential equations. The aims of this study are to establish certain necessary and…

Optimization and Control · Mathematics 2016-11-25 Can Zhang

The paper introduces and solves a structural controllability problem for continuum ensembles of linear time-invariant systems. All the individual linear systems of an ensemble are sparse, governed by the same sparsity pattern.…

Systems and Control · Electrical Eng. & Systems 2021-07-13 Xudong Chen

This paper introduces a novel control framework to address the satisfaction of multiple time-varying output constraints in uncertain high-order MIMO nonlinear control systems. Unlike existing methods, which often assume that the constraints…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Farhad Mehdifar , Lars Lindemann , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

We investigate the problem of controlling the magnetic moment in a ferromagnetic nanowire submitted to an external magnetic field in the direction of the nanowire. The system is modeled with the one dimensional Landau-Lifschitz equation. In…

Optimization and Control · Mathematics 2016-08-16 Gilles Carbou , Stéphane Labbé , Emmanuel Trélat

This communication presents a longitudinal model-free control approach for computing the wheel torque command to be applied on a vehicle. This setting enables us to overcome the problem of unknown vehicle parameters for generating a…

Systems and Control · Computer Science 2017-04-06 Philip Polack , Brigitte d'Andréa-Novel , Michel Fliess , Arnaud de la Fortelle , Lghani Menhour

This paper addresses the distributed attitude synchronization problem of multiple spacecraft with unknown inertia matrices. Two distributed adaptive controllers are proposed for the cases with and without a virtual leader to which a…

Systems and Control · Computer Science 2011-09-20 Zhongkui Li , Zhisheng Duan

This paper investigates the time-optimal control problem for the Landau-Lifshitz-Bloch (LLB) equation, a macroscopic model that characterizes magnetization dynamics in ferromagnetic materials across a wide temperature range, including near…

Optimization and Control · Mathematics 2025-12-22 Sidhartha Patnaik , Kumarasamy Sakthivel

A global model is presented that can be used to study attitude maneuvers of a rigid spacecraft in a circular orbit about a large central body. The model includes gravity gradient effects that arise from the non-uniform gravity field and…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

It is well-known that the controllability of finite-dimensional nonlinear systems can be established by showing the controllability of the linearized system. However, this classical result does not generalize to infinite-dimensional…

Optimization and Control · Mathematics 2021-07-29 Bernd Kolar , Markus Schöberl
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