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Approximate controllability and approximate null controllability of semilinear systems
Communications on Pure and Applied Analysis, 2006 The approximate controllability and approximate null controllability of control systems governed by a class of abstract semilinear integrodifferential equations are discussed in this paper. Sufficient conditions for approximate controllability and approximate null controllability are obtained providing the approximate controllability and exact null
Lianwen Wang
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On partial approximate controllability of semilinear systems
Cogent Engineering, 2014 In this paper, a sufficient condition for the partial approximate controllability of semilinear deterministic control systems is proved. Generally, the theorems on controllability are formulated for control systems given as a first-order differential ...
Agamirza E Bashirov, James Lam
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Approximate controllability of second order infinite dimensional systems [PDF]
Archives of Control Sciences, 2021 In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented.
Jerzy Klamka, Asatur Zh. Khurshudyan
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Fractal 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
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Mathematics, 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
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Mathematics, 2021 According to the spatial dimension, equation type, and time sequence, the latest progress in controllability of stochastic linear systems and some unsolved problems are introduced. Firstly, the exact controllability of stochastic linear systems in finite
Zhaoqiang Ge
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Approximate Controllability of Semilinear Stochastic Generalized Systems in Hilbert Spaces
Mathematics, 2022 Approximate controllability of two types of nonlinear stochastic generalized systems is investigated in the sense of mild solution in Hilbert spaces. Firstly, the approximate controllability of semilinear stochastic generalized systems with control only ...
Zhaoqiang Ge
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Fractal and Fractional, 2022 This paper investigates the existence and approximate controllability of Riemann–Liouville fractional evolution systems of Sobolev-type in abstract spaces.
Yue Liang
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Heating control of a finite rod with a mobile source [PDF]
Archives of Control Sciences, 2021 The Green’s function approach is applied for studying the exact and approximate nullcontrollability of a finite rod in finite time by means of a source moving along the rod with controllable trajectory.
Samvel H. Jilavyan +2 more
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Controlled approximation and a characterization of the local approximation order [PDF]
Proceedings of the American Mathematical Society, 1985 The local approximation order from a scale ( S h ) ({S_h}) of approximating functions on R m {{\mathbf {R}}^m} is characterized in terms of the linear span (and its ...
de Boor, C., Jia, R.-Q.
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