An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators [PDF]
This article focuses on the approximate controllability of impulsive neutral stochastic integrodifferential inclusions in Hilbert spaces. We used resolvent operators, fixed point approaches, and semigroup theory to achieve the article's main results ...
Yong-Ki Ma +4 more
doaj +2 more sources
Approximate Controllability of Fractional Stochastic Evolution Inclusions with Non-Local Conditions
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
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Yassine El Gantouh +2 more
openaire +3 more sources
The objective of this work is to study the approximate controllability with constraints on the control of the heat equation. To demonstrate the approximate controllability, it suffices to use Hahn Banach theorem and notice that the orthogonal of the set of reachable states at the moment t=0 is reduced to zero.
Imad Rezzoug, Oussaief Taki-Eddine
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Controllability of the bilinear Schr\"odinger equation with several controls and application to a 3D molecule [PDF]
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
Smooth Controllability of Infinite Dimensional Quantum Mechanical Systems [PDF]
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
Controllability Metrics on Networks with Linear Decision Process-type Interactions and Multiplicative Noise [PDF]
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
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Approximate Controllability, Exact Controllability, and Conical Eigenvalue Intersections for Quantum Mechanical Systems [PDF]
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
Global exponential stabilisation for the Burgers equation with localised control [PDF]
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
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Small time reachable set of bilinear quantum systems [PDF]
This note presents an example of bilinear conservative system in an infinite dimensional Hilbert space for which approximate controllability in the Hilbert unit sphere holds for arbitrary small times.
Boussaid, Nabile +2 more
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