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This paper develops a variational inference framework for control of infinite dimensional stochastic systems. We employ a measure theoretic approach which relies on the generalization of Girsanov's theorem, as well as the relation between…

Optimization and Control · Mathematics 2018-09-11 George I. Boutselis , Marcus Pereira , Evangelos A. Theodorou

We propose a new method for controlling linear dynamical systems under adversarial disturbances and cost functions. Our algorithm achieves a running time that scales polylogarithmically with the inverse of the stability margin, improving…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Anand Brahmbhatt , Gon Buzaglo , Sofiia Druchyna , Elad Hazan

This paper presents a risk mitigating, time-varying feedback control algorithm for crop production when state dynamics are subject to uncertainty. The model based case study concerns a 40 day production round of lettuce in a greenhouse…

Optimization and Control · Mathematics 2023-07-31 Simon van Mourik , Bert van't Ooster , Michel Vellekoop

In this paper, we consider a geometric formalism for optimal control of underactuated mechanical systems. Our techniques are an adaptation of the classical Skinner and Rusk approach for the case of Lagrangian dynamics with higher-order…

Mathematical Physics · Physics 2015-05-14 L. Colombo , D. Martin de Diego , M. Zuccalli

Trajectory optimization is a fundamental stochastic optimal control problem. This paper deals with a trajectory optimization approach for dynamical systems subject to measurement noise that can be fitted into linear time-varying stochastic…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Prakash Mallick , Zhiyong Chen

The method of complex Langevin simulations is a tool that can be used to tackle the complex-action problem encountered, for instance, in finite-density lattice quantum chromodynamics or real-time lattice field theories. The method is based…

High Energy Physics - Lattice · Physics 2024-10-18 Michael Mandl , Michael W. Hansen , Erhard Seiler , Dénes Sexty

In this paper we present a dynamic programing approach to stochastic optimal control problems with dynamic, time-consistent risk constraints. Constrained stochastic optimal control problems, which naturally arise when one has to consider…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

We demonstrate the control of vortical motion of neutral classical particles in driven superlattices. Our superlattice consists of a superposition of individual lattices whose potential depths are modulated periodically in time but with…

Chaotic Dynamics · Physics 2020-09-30 Aritra K. Mukhopadhyay , Peter Schmelcher

A well-established numerical technique to study the dynamics of spin systems in which symmetries and conservation laws play an important role is to microcanonically integrate their reversible equations of motion, obtaining thermalization…

Statistical Mechanics · Physics 2023-06-27 Andrea Cavagna , Javier Cristín , Irene Giardina , Mario Veca

Control of multistable dynamical system has important applications, from physics to biology. Here, we attack this problem from the perspective of local sensitivity analysis. We develop sensitivity rules to control properties of…

Optimization and Control · Mathematics 2022-06-08 Rodrigo Moreno-Morton , Alessio Franci

We consider adaptive control problem in presence of nonlinear parametrization of uncertainties in the model. It is shown that despite traditional approaches require for domination in the control loop during adaptation, it is not often…

Optimization and Control · Mathematics 2007-05-23 Ivan Tyukin , Cees van Leeuwen

There is a growing interest in investigating new states of matter using out-of-equilibrium lattice spin models in two dimensions. However, a control of pairwise interactions in such systems has been elusive as due to their nonequilibrium…

Mesoscale and Nanoscale Physics · Physics 2019-06-10 Kirill P. Kalinin , Natalia G. Berloff

This paper deals with systems of spherical particles immersed in a viscous fluid. Two aspects are studied, namely the controllability of such systems, with particular attention to the case of one active particle and either one or two…

Analysis of PDEs · Mathematics 2024-10-23 Marta Zoppello , Henry Shum , Marco Morandotti

A geometric setup for control theory is presented. The argument is developed through the study of the extremals of action functionals defined on piecewise differentiable curves, in the presence of differentiable non-holonomic constraints.…

Optimization and Control · Mathematics 2015-05-18 Enrico Massa , Danilo Bruno , Enrico Pagani

We study the avoided crossings in the dynamics of quantum controlled excitations for an interacting two-boson system in an optical lattice. Specifically, we perform numerical simulations of quantum control in this system where driving…

Atomic Physics · Physics 2010-08-23 Analabha Roy , Linda E. Reichl

We consider a stochastic control problem, where the control domain is convex and the system is governed by a nonlinear backward stochastic differential equation. With a L1 terminal data, we derive necessary optimality conditions in the form…

Probability · Mathematics 2008-07-23 Seid Bahlali

This paper deals with a stochastic optimal feedback control problem for the controlled stochastic partial differential equations. More precisely, we establish the existence of stochastic optimal feedback control for the controlled…

Probability · Mathematics 2025-01-07 Gaofeng Zong

For a small system like a colloidal particle or a single biomolecule embedded in a heat bath, the optimal protocol of an external control parameter minimizes the mean work required to drive the system from one given equilibrium state to…

Statistical Mechanics · Physics 2009-11-13 Tim Schmiedl , Udo Seifert

A hierarchical control architecture is presented for energy-efficient control of legged robots subject to variety of linear/nonlinear inequality constraints such as Coulomb friction cones, switching unilateral contacts, actuator saturation…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Farhad Aghili

Many-body systems relaxing to equilibrium can exhibit complex dynamics even if their steady state is trivial. At low temperatures or high densities their evolution is often dominated by steric hindrances affecting particle motion [1,2,3].…

Statistical Mechanics · Physics 2016-05-10 M. M. Valado , C. Simonelli , M. D. Hoogerland , I. Lesanovsky , J. P. Garrahan , E. Arimondo , D. Ciampini , O. Morsch