Results 231 to 240 of about 927,941 (284)

Observability inequality for the finite-difference semi-discretization of the 1–d coupled wave equations

Advances in Computational Mathematics, 2014
D. Júnior, A. Ramos, Mauro L. Santos
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Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality

Chinese Annals of Mathematics Series B, 2010
Ganghua Yuan, Masahiro Yamamoto
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Observability Inequality from Measurable Sets for Degenerate Parabolic Equations and its Applications

Journal of Optimization Theory and Applications
Y. Liu, Weijia Wu, Donghui Yang, Can Zhang   +3 more
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An inverse problem and an observability inequality for the Lamé system with stress boundary condition

Applicable Analysis, 2009
O. Imanuvilov, Masahiro Yamamoto
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Exact controllability of linear mean‐field stochastic systems and observability inequality for mean‐field backward stochastic differential equations

Asian journal of control, 2020
This paper is concerned with the exact controllability of linear mean‐field stochastic systems with time‐variant random coefficients. We prove that the exact controllability, the validity of the observability inequality for the dual equation, the unique ...
Wenjie Ye, Zhiyong Yu
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Observability Inequalities from Measurable Sets for Some Abstract Evolution Equations

SIAM Journal on Control and Optimization, 2017
GengshengBB Wang, Can Zhang
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Geometric Properties of Time-Optimal Controls With State Constraints Using Strong Observability

IEEE Transactions on Automatic Control, 2022
This article considers minimum time optimal control problems with linear dynamics subject to state equality constraints and control inequality constraints.
Nathaniel T. Woodford, M. Harris
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Observability Inequalities by Internal Observation and Their Applications

Journal of Optimization Theory and Applications, 2003
The systems under study are described by the wave equation \[ {\partial^2 y(t, x) \over \partial t^2} - \Delta y(t, x) = a_1(t, x)y(t, x) + a_2(t, x) {\partial y(t, x) \over \partial t} + \langle a_3(t, x), \nabla y(t, x) \rangle \] in a \(n\)-dimensional domain \(\Omega\) with boundary \(\Gamma,\) with initial conditions \[ y(0, x) = y_0(x),\;\partial
Liu, K., Yamamoto, M., Zhang, X.
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Observability inequality for piecewise Hermite cubic orthogonal spline collocation semi‐discretization of the wave‐Petrovsky system with memory

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2019
In this paper we consider the piecewise Hermite cubic orthogonal spline collocation semi‐discretization of the wave‐Petrovsky coupled systems in the presence of memory terms. We treat the question of uniform observability for the semi‐discretization.
Da Xu
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Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach

Mathematical Models and Methods in Applied Sciences, 2022
We establish a quantitative observation inequality for the Schrödinger and the Heisenberg equations on Rd, uniform in the Planck constant [Formula: see text]. The proof is based on the pseudometric introduced in F. Golse and T.
F. Golse, T. Paul
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