Small time reachable set of bilinear quantum systems [PDF]
, 2012 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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Well-posedness and approximate controllability of neutral network systems
Networks and Heterogeneous Media, 2021 In this paper, we study the concept of approximate controllability of retarded network systems of neutral type. On one hand, we reformulate such systems as free-delay boundary control systems on product spaces.
Yassine El Gantouh, Said Hadd
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Approximate Boundary Controllability for Semilinear Delay Differential Equations
Journal of Applied Mathematics, 2011 This paper considers the approximate controllability for a class of semilinear delay control systems described by a semigroup formulation with boundary control.
Lianwen Wang
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On the Fattorini Criterion for Approximate Controllability and Stabilizability of Parabolic Systems [PDF]
, 2014 In this paper, we consider the well-known Fattorini's criterion for approximate controllability of infinite dimensional linear systems of type $y'=A y+Bu$. We precise the result proved by H. O.
Badra, Mehdi, Takahashi, Takéo
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Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum [PDF]
, 2013 International audienceWe present a sufficient condition for approximate controllability of the bilinear discrete-spectrum Schrödinger equation exploiting the use of several controls.
Boscain, Ugo +2 more
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Null controllability of a semilinear degenerate parabolic equation with a gradient term
Boundary Value Problems, 2020 This paper concerns the null controllability of a semilinear control system governed by degenerate parabolic equation with a gradient term, where the nonlinearity of the problem is involved with the first derivative. We first establish the well-posedness
Fengdan Xu, Qian Zhou, Yuanyuan Nie
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Minimal time problem for discrete crowd models with a localized vector field [PDF]
, 2018 In this work, we study the minimal time to steer a given crowd to a desired configuration. The control is a vector field, representing a perturbation of the crowd velocity, localized on a fixed control set. We characterize the minimal time for a discrete
Duprez, Michel +2 more
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Fractal and Fractional, 2022 This paper focuses on the approximate controllability of Hilfer fractional neutral Volterra integro-differential inclusions via almost sectorial operators.
Chandrabose Sindhu Varun Bose +4 more
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Exact observability and controllability for linear neutral type systems [PDF]
, 2015 The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllabil-ity problem is the main tool.
Rabah, Rabah, Sklyar, Grigory
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On the finite approximate controllability for Hilfer fractional evolution systems
Advances in Difference Equations, 2020 In this paper, we consider the finite approximate controllability of some Hilfer fractional evolution systems. Using a variational approach and Schauder’s fixed point theorem, we give sufficient conditions for finite approximate controllability of ...
Xianghu Liu, Yanfang Li, Guangjun Xu
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