Approximate Controllability of Fractional Stochastic Evolution Inclusions with Non-Local Conditions
Fractal and Fractional, 2023 This article investigates the approximate controllability of non-linear fractional stochastic differential inclusions with non-local conditions. We establish a set of sufficient conditions for their approximate controllability and provide results in ...
Kinda Abuasbeh +4 more
doaj +1 more source
Approximate controllability of network systems
Evolution Equations & Control Theory, 2021 <p style='text-indent:20px;'>In this paper, the rich feedback theory of regular linear systems in the Salamon-Weiss sense as well as some advanced tools in semigroup theory are used to formulate and solve control problems for network systems. In fact, we derive necessary and sufficient conditions for approximate controllability of such systems ...
Yassine El Gantouh +2 more
openaire +3 more sources
Approximate Controllability of Second-Grade Fluids [PDF]
Journal of Dynamical and Control Systems, 2020 This paper deals with the controllability of the second grade fluids, a class of non-Newtonian of differentiel type, on a two-dimensional torus. Using the method of Agrachev-Sarychev [1], [2] and of Sirikyan [26], we prove that the system of second grade fluids is approximately controllable by a finite-dimensional control force.
Van-Sang Ngo, Geneviève Raugel
openaire +3 more sources
Symbolic approximate time-optimal control [PDF]
Systems & Control Letters, 2011 17 pages, 2 figures ...
Mazo, Manuel, Tabuada, Paulo
openaire +4 more sources
Controllability of the bilinear Schr\"odinger equation with several controls and application to a 3D molecule [PDF]
, 2012 We show the approximate rotational controllability of a polar linear molecule by means of three nonresonant linear polarized laser fields. The result is based on a general approximate controllability result for the bilinear Schr\"odinger equation, with ...
Boscain, Ugo +2 more
core +4 more sources
Controllability Metrics on Networks with Linear Decision Process-type Interactions and Multiplicative Noise [PDF]
, 2015 This paper aims at the study of controllability properties and induced controllability metrics on complex networks governed by a class of (discrete time) linear decision processes with mul-tiplicative noise.
Diallo, Tidiane, Goreac, Dan
core +3 more sources
Approximate Controllability, Exact Controllability, and Conical Eigenvalue Intersections for Quantum Mechanical Systems [PDF]
, 2014 International audienceWe study the controllability of a closed control-affine quantum system driven by two or more external fields. We provide a sufficient condition for controllability in terms of existence of conical intersections between eigenvalues ...
Boscain, Ugo +3 more
core +5 more sources
Smooth Controllability of Infinite Dimensional Quantum Mechanical Systems [PDF]
, 2005 Manipulation of infinite dimensional quantum systems is important to controlling complex quantum dynamics with many practical physical and chemical backgrounds.
Li, Chun-Wen +2 more
core +1 more source
Approximate controllability and lack of controllability to zero of the heat equation with memory [PDF]
, 2014 In this paper we consider the heat equation with memory in a bounded region $\Omega \subset\mathbb{R}^d$, $d\geq 1$, in the case that the propagation speed of the signal is infinite (i.e. the Colemann-Gurtin model).
Halanay, A., Pandolfi, L.
core +2 more sources
Global exponential stabilisation for the Burgers equation with localised control [PDF]
, 2016 We consider the 1D viscous Burgers equation with a control localised in a finite interval. It is proved that, for any $\varepsilon>0$, one can find a time $T$ of order $\log\varepsilon^{-1}$ such that any initial state can be steered to the $\varepsilon$-
Shirikyan, Armen
core +4 more sources