Results 31 to 40 of about 18,090,173 (384)

Approximate and Exact Controllability for Hilfer Fractional Stochastic Evolution Equations

open access: yesFractal and Fractional
This paper investigates the controllability of Hilfer fractional stochastic evolution equations (HFSEEs). Initially, we obtain a conclusion regarding the approximate controllability of HFSEEs by employing the Tikhonov-type regularization method and ...
Qien Li, Danfeng Luo
doaj   +2 more sources

Finite-Approximate Controllability of Riemann–Liouville Fractional Evolution Systems via Resolvent-Like Operators

open access: yesFractal and Fractional, 2021
This paper presents a variational method for studying approximate controllability and infinite-dimensional exact controllability (finite-approximate controllability) for Riemann–Liouville fractional linear/semilinear evolution equations in Hilbert spaces.
Nazim I. Mahmudov
doaj   +1 more source

Exact Controllability and Stabilization of Locally Coupled Wave Equations: Theoretical Results [PDF]

open access: yesZeitschrift für Analysis und ihre Anwendungen, 2020
In this paper, we study the exact controllability and stabilization of a system of two wave equations coupled by velocities with an internal, local control acting on only one equation. We distinguish two cases.
S. Gerbi   +3 more
semanticscholar   +1 more source

Exact controllability of infinite dimensional hyperbolic bilinear systems

open access: yesPartial Differential Equations in Applied Mathematics, 2021
The present study delineates the exact controllability at time T of infinite dimensional hyperbolic system with bilinear distributed controls. It consists in providing suitable controls that allow exact controllability of such a system to a target state ...
Abella El kabouss, El Hassan Zerrik
doaj   +1 more source

Geometric conditions for the exact controllability of fractional free and harmonic Schrödinger equations [PDF]

open access: yes, 2020
We provide necessary and sufficient geometric conditions for the exact controllability of the one-dimensional fractional free and fractional harmonic Schrödinger equations.
J'er'emy Martin, K. Pravda-Starov
semanticscholar   +1 more source

Mean Square Finite-Approximate Controllability of Semilinear Stochastic Differential Equations with Non-Lipschitz Coefficients

open access: yesMathematics, 2023
In this paper, we present a study on mean square approximate controllability and finite-dimensional mean exact controllability for the system governed by linear/semilinear infinite-dimensional stochastic evolution equations.
Nazim I. Mahmudov
doaj   +1 more source

On controllability of fractional positive continuous-time linear systems with delay [PDF]

open access: yesArchives of Control Sciences, 2021
In the paper positive fractional continuous-time linear systems are considered. Positive fractional systems without delays and positive fractional systems with a single delay in control are studied.
Beata Sikora, Nikola Matlok
doaj   +1 more source

Boundary Controllability and Observability of a Viscoelastic String [PDF]

open access: yes, 2012
In this paper we consider an integrodifferential system, which governs the vibration of a viscoelastic one-dimensional object. We assume that we can act on the system at the boundary and we prove that it is possible to control both the position and the ...
Avdonin S.   +8 more
core   +1 more source

Lack of controllability of the heat equation with memory [PDF]

open access: yes, 2012
We consider a model for the heat equation with memory, which has infinite propagation speed, like the standard heat equation. We prove that, in spite of this, for every T > 0 there exist square integrable initial data which cannot be steered to hit zero ...
Andrei Halanay, Pandolfi, Luciano
core   +1 more source

Exact and positive controllability of boundary control systems

open access: yesNetworks & Heterogeneous Media, 2017
Using the semigroup approach to abstract boundary control problems we characterize the space of all exactly reachable states. Moreover, we study the situation when the controls of the system are required to be positive. The abstract results are applied to flows in networks with static as well as dynamic boundary conditions.
ENGEL, KLAUS JOCHEN OTTO   +1 more
openaire   +5 more sources

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