Results 11 to 20 of about 656,028 (291)
Shape, Velocity, and Exact Controllability for the Wave Equation [PDF]
Journal of Optimization, Differential Equations and Their Applications, 2022 A new method to prove exact controllability for the wave equation is demonstrated and discussed on several examples. The method of proof first uses a dynamical argument to prove shape controllability and velocity controllability, thereby solving their ...
Sergei Avdonin +2 more
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On the partial controllability of SDEs and the exact controllability of FBSDES
ESAIM: Control, Optimisation and Calculus of Variations, 2020 A notion of partial controllability (also can be called directional controllability or output controllability) is proposed for linear controlled (forward) stochastic differential equations (SDEs), which characterizes the ability of the state to reach some given random hyperplane. It generalizes the classical notion of exact controllability.
Wang, Yanqing, Yu, Zhiyong
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Exact null controllability, complete stabilizability and continuous final observability of neutral type systems [PDF]
International Journal of Applied Mathematics and Computer Science, 2017 For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property being related to exact null controllability.
Rabah Rabah +2 more
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Exact controllability of fractional order evolution equations in Banach spaces
Advances in Difference Equations, 2018 In this paper, we deal with the exact controllability of a class of fractional evolution equations with time-varying delay. Under the nonlocal condition, the exact controllability of this system is established by applying a Leray–Schauder alternative ...
Yi Cheng, Shanshan Gao, Yuhu Wu
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Exact controllability of complex networks. [PDF]
Nat Commun, 2013 Controlling complex networks is of paramount importance in science and engineering. Despite the recent development of structural-controllability theory, we continue to lack a framework to control undirected complex networks, especially given link weights.
Yuan Z, Zhao C, Di Z, Wang WX, Lai YC.
europepmc +5 more sources
Exact controllability for nonlinear thermoviscoelastic plate problem
Demonstratio MathematicaIn this article, we consider a problem of exact controllability in the processes described by a nonlinear damped thermoviscoelastic plate. First, we prove the global well-posedness result for the nonlinear functions that are continuous with respect to ...
Moulahi Taoufik +2 more
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Null-controllability, exact controllability, and stabilization of hyperbolic systems for the optimal time [PDF]
, 2020 In this paper, we discuss our recent works on the null-controllability, the exact controllability, and the stabilization of linear hyperbolic systems in one dimensional space using boundary controls on one side for the optimal time.
Jean-Michel Coron +3 more
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Partial exact controllability for the linear thermo-viscoelastic model [PDF]
Electronic Journal of Differential Equations, 1998 The problem of partial exact controllability for linear thermo-viscoelasticity is considered. Using classical multiplier techniques, a boundary observability inequality is established under smallness restrictions on coupling parameters and relaxation ...
Wei-Jiu Liu, Graham H. Williams
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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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Mathematics, 2023 In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we prove the exact null controllability of one wave equation with a moving boundary.
Lizhi Cui, Jing Lu
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