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Discrete-time stochastic systems are an essential modelling tool for many engineering systems. We consider stochastic control systems that are evolving over continuous spaces. For this class of models, methods for the formal verification…

系统与控制 · 计算机科学 2018-11-29 Sofie Haesaert , Sadegh Soudjani

We prove existence and regularity for the solutions to a Cahn-Hilliard system describing the phenomenon of phase separation for a material contained in a bounded and regular domain. Since the first equation of the system is perturbed by the…

偏微分方程分析 · 数学 2020-05-05 Michele Colturato

We study the controllability of the Bloch equation, for an ensemble of non interacting half-spins, in a static magnetic field, with dispersion in the Larmor frequency. This system may be seen as a prototype for infinite dimensional bilinear…

最优化与控制 · 数学 2015-05-13 Karine Beauchard , Jean-Michel Coron , Pierre Rouchon

Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. In this work, two methods…

动力系统 · 数学 2018-05-25 Verónica E. Pastor , Graciela González

In this paper we propose a model predictive control scheme for constrained fractional-order discrete-time systems. We prove that all constraints are satisfied at all time instants and we prescribe conditions for the origin to be an…

最优化与控制 · 数学 2016-06-16 Pantelis Sopasakis , Haralambos Sarimveis

A theoretical study on the high-harmonic generation (HHG) in solids by a synthesized driver field is carried out. The vector potential of the driver field is instrumental in determining the Bloch oscillations of the electrons in a periodic…

原子与分子团簇 · 物理学 2023-05-02 Nivash R. , Amol R Holkundkar , Jayendra N. Bandyopadhyay

This letter presents a unified framework for the design of prescribed-time controllers under time-varying input and state constraints for normal-form unknown nonlinear systems with uncertain input gain. The proposed approach is based on a…

系统与控制 · 电气工程与系统科学 2021-12-20 Amir Shakouri , Nima Assadian

This paper studies quantized control for discrete-time piecewise affine systems. For given stabilizing feedback controllers, we propose an encoding strategy for local stability. If the quantized state is near the boundaries of quantization…

系统与控制 · 计算机科学 2015-09-07 Masashi Wakaiki , Yutaka Yamamoto

We propose a mechanism which produces periodic variations of the degree of predictability in dynamical systems. It is shown that even in the absence of noise when the control parameter changes periodically in time, below and above the…

chao-dyn · 物理学 2009-10-22 A. Crisanti , M. Falcioni , G. Paladin , A. Vulpiani

We consider the finite-time stabilization of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other side. We present time-independent feedbacks leading to the finite-time…

最优化与控制 · 数学 2020-05-28 Jean-Michel Coron , Hoai-Minh Nguyen

This paper presents an algorithmic framework for control synthesis of continuous dynamical systems subject to signal temporal logic (STL) specifications. We propose a novel algorithm to obtain a time-partitioned finite automaton from an STL…

系统与控制 · 电气工程与系统科学 2022-10-05 Qi Heng Ho , Roland B. Ilyes , Zachary N. Sunberg , Morteza Lahijanian

We consider a system that is exactly controllable. For given initial state, terminal state and objective function, an optimal control is often well-defined. Such an optimal control has the disadvantage that although it works perfectly well…

最优化与控制 · 数学 2013-07-08 Martin Gugat

In this paper we give an exact invariant for a relativistic linear harmonic oscillator with time-dependent frequency. This is accomplished, following Eliezer and Gray \cite{EliezerGray}, for the non-relativistic case, by associating a…

经典物理 · 物理学 2024-05-01 Bhimsen Shivamoggi , Daniel Reinhart

We study boundary regional controllability problems for a class of semilinear fractional systems. Sufficient conditions for regional boundary controllability are proved by assuming that the associated linear system is approximately…

最优化与控制 · 数学 2024-02-06 Asmae Tajani , Fatima-Zahrae El Alaoui , Delfim F. M. Torres

We show that, for disjoint domains in the Euclidean space, mutual absolute continuity of their harmonic measures implies absolute continuity with respect to surface measure and rectifiability in the intersection of their boundaries. This…

经典分析与常微分方程 · 数学 2016-09-21 Jonas Azzam , Mihalis Mourgoglou , Xavier Tolsa , Alexander Volberg

A solid system consisting of two heat conducting cylinders with a thermoelectric converter (Peltier element) between them is considered. A nonlinear model, which was previously verified by authors, is used to design a constrained control…

系统与控制 · 电气工程与系统科学 2022-06-15 Alexander Gavrikov , Georgy Kostin

The use of spatio-temporal logics in control is motivated by the need to impose complex spatial and temporal behavior on dynamical systems, and to control these systems accordingly. Synthesizing correct-by-design control laws is a…

形式语言与自动机理论 · 计算机科学 2020-03-26 Lars Lindemann , Dimos V. Dimarogonas

A fundamental theory of deterministic linear-quadratic (LQ) control is the equivalent relationship between control problems, two-point boundary value problems and Riccati equations. In this paper, we extend the equivalence to a general…

数理金融 · 定量金融 2021-10-13 Hongyan Cai , Danhong Chen , Yunfei Peng , Wei Wei

Autonomous control systems use various sensors to decrease the amount of uncertainty under which they operate. While providing partial observation of the current state of the system, sensors require resources such as energy, time and…

计算机科学中的逻辑 · 计算机科学 2016-02-29 Eva Tesarova , Maria Svorenova , Jiri Barnat , Ivana Cerna

The main motivation of this article is to derive sufficient conditions for dynamical stability of periodically driven quantum systems described by a Hamiltonian H(t), i.e., conditions under which it holds sup_{t in R} | (psi(t),H(t) psi(t))…

数学物理 · 物理学 2009-11-13 Pierre Duclos , Eric Soccorsi , Pavel Stovicek , Michel Vittot