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This paper describes use of model checking to verify synchronisation properties of an industrial welding system consisting of a cobot arm and an external turntable. The robots must move synchronously, but sometimes get out of…

Robotics · Computer Science 2024-11-22 Yvonne Murray , Henrik Nordlie , David A. Anisi , Pedro Ribeiro , Ana Cavalcanti

Attempts to install a rotating tool at the end of a robot arm poly-articulated date back twenty years, but these robots were not designed for that. Indeed, two essential features are necessary for machining: high rigidity and precision in a…

Robotics · Computer Science 2012-01-24 Jean-Yves K'Nevez , Mehdi Cherif , Miron Zapciu , Alain Gérard

We present a method for determining optimal modes of operation for autonomously oscillating systems with uncertain parameters. In a typical application of the method, a nonlinear dynamical system is optimized with respect to an economic…

Dynamical Systems · Mathematics 2013-08-20 Darya Kastsian , Martin Mönnigmann

Treatises on vibrations devote large space to study the dynamical behavior of an elastic system subject to known external tractions. In fact, usually a "system" is not an isolated body but it is part of a chain of mechanisms which disturb…

Optimization and Control · Mathematics 2012-06-15 Luciano Pandolfi

Nonlinear contraction theory is a comparatively recent dynamic control system design tool based on an exact differential analysis of convergence, in essence converting a nonlinear stability problem into a linear time-varying stability…

Pattern Formation and Solitons · Physics 2007-05-23 Winfried Lohmiller , Jean-Jacques E. Slotine

The problem of optimization of the rolling dynamics model is considered. That providing safe movement at high frequency when interacting with the railway. Moreover, allowing to evaluate the dynamic parameters when designing new and…

Computational Engineering, Finance, and Science · Computer Science 2020-10-20 Anas M. Al-Oraiqat , Alexander Y. Ivanov , Yuriy A. Ivanov

Parameters of a virtual synchronous machine in a small microgrid are optimised. The dynamical behaviour of the system is simulated after a perturbation, where the system needs to return to its steady state. The cost functional evaluates the…

Optimization and Control · Mathematics 2017-03-07 Timo Dewenter , Wiebke Heins , Benjamin Werther , Alexander K. Hartmann , Christian Bohn , Hans-Peter Beck

A joint characterisation of the controllability and observability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

Dynamical Systems · Mathematics 2010-06-14 Amparo Fúster-Sabater , J. M. Guillén

The construction and operation of large scale quantum information devices presents a grand challenge. A major issue is the effective control of coherent evolution, which requires accurate knowledge of the system dynamics that may vary from…

Quantum Physics · Physics 2014-03-04 Daniel Oi , Sophie Schirmer

Effects of a coupling between the mechanical vibrations of a quantum dot placed between the two leads of a single electron transistor and coherent tunneling of electrons through a single level in the dot has been studied. We have found that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. Fedorets , L. Y. Gorelik , R. I. Shekhter , M. Jonson

To the reduct problems of decision system, the paper proposes the notion of dynamic core according to the dynamic reduct model. It describes various formal definitions of dynamic core, and discusses some properties about dynamic core. All…

Artificial Intelligence · Computer Science 2007-05-23 Jiayang Wang

When a dynamical system contains several different modes of oscillations it may behave in a variety of ways: If the modes oscillate at their own individual frequencies, it exhibits quasiperiodic behavior; when the modes lock to one another…

Chaotic Dynamics · Physics 2012-01-04 Mogens H. Jensen , Leo P. Kadanoff

A stochastic control of the vibrational motion for a single trapped ion/atom is proposed. It is based on the possibility to continously monitor the motion through a light field meter. The output from the measurement process should be then…

Quantum Physics · Physics 2007-05-23 S. Mancini

The optimal control of a mechanical system is of crucial importance in many realms. Typical examples are the determination of a time-minimal path in vehicle dynamics, a minimal energy trajectory in space mission design, or optimal motion…

Optimization and Control · Mathematics 2008-10-09 S. Ober-Bloebaum , O. Junge , J. E. Marsden

The aim of this work is to study the geometry underlying mechanics and its application to describe autonomous and nonautonomous conservative dynamical systems of different types; as well as dissipative dynamical systems. We use different…

Mathematical Physics · Physics 2025-05-07 Miguel C. Muñoz-Lecanda , Narciso Román-Roy

Design of robots at the small scale is a trial-and-error based process, which is costly and time-consuming. There are few dynamic simulation tools available to accurately predict the motion or performance of untethered microrobots as they…

Robotics · Computer Science 2020-10-08 Jiayin Xie , Chenghao Bi , David J. Cappelleri , Nilanjan Chakraborty

In this paper, a non-autonomous stochastic logistic system is considered. An interesting result on the effect of stochastically perturbation for the dynamic behavior are obtained. That is, under certain conditions the stochastic system have…

Dynamical Systems · Mathematics 2012-08-08 Hu Hongxiao

An oscillator with stochastic frequency is discussed as a model for evaluating the quantum coherence properties of a physical system. It is found that the choice of jump statistics has to be considered with care if unphysical consequences…

Quantum Physics · Physics 2009-10-31 Martti Havukainen , Stig Stenholm

A mechanical system is presented exhibiting a non-deterministic singularity, that is, a point in an otherwise deterministic system where forward time trajectories become non-unique. A Coulomb friction force applies linear and angular forces…

Dynamical Systems · Mathematics 2015-06-18 Robert Szalai , Mike R. Jeffrey

High speed machining has been improved thanks to considerable advancement on the tools (optimum geometry, harder materials), on machined materials (increased workability and machining capacity for harder workpieces) and finally on the…

Classical Physics · Physics 2009-09-29 Olivier Cahuc , Alain Gérard