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On Gibbsianness of infinite-dimensional diffusionsRoelly, Sylvie, Dereudre, David January 2004 (has links)
The authors analyse different Gibbsian properties of interactive Brownian
diffusions X indexed by the d-dimensional lattice. In the first part of the paper, these processes are characterized as Gibbs states on path spaces. In the second part of the paper, they study the Gibbsian character on R^{Z^d} of the law at time t of the infinite-dimensional diffusion X(t), when the initial law is Gibbsian.
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AMS Classifications: 60G15 / 60G60 / 60H10 / 60J60
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Spectral mapping theorems and invariant manifolds for infinite-dimensional Hamiltonian systems /Stanislavova, Milena January 2000 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2000. / Typescript. Vita. Includes bibliographical references (leaves 71-78). Also available on the Internet.
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The optimal gap conditions for the existence of invariant manifolds /Layton, William J. January 1999 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 1999. / Typescript. Vita. Includes bibliographical references (leaves 129-133). Also available on the Internet.
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The optimal gap conditions for the existence of invariant manifoldsLayton, William J. January 1999 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 1999. / Typescript. Vita. Includes bibliographical references (leaves 129-133). Also available on the Internet.
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Spectral mapping theorems and invariant manifolds for infinite-dimensional Hamiltonian systemsStanislavova, Milena January 2000 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2000. / Typescript. Vita. Includes bibliographical references (leaves 71-78). Also available on the Internet.
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Optimal Control of Fixed-Bed Reactors with Catalyst DeactivationMohammadi, Leily Unknown Date
No description available.
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Control of Hysteresis in the Landau-Lifshitz EquationChow, Amenda January 2013 (has links)
There are two main tools for determining the stability of nonlinear partial differential equations (PDEs): Lyapunov Theory and linearization. The former has the advantage of providing stability results for nonlinear equations directly, while the latter considers the stability of linear equations and then further justification is needed to show the linear stability implies local stability of the nonlinear equation. Linearization has the advantage of investigating stability on a simpler equation; however, the justification can be difficult to prove.
Both Lyapunov Theory and linearization are applied to the Landau--Lifshitz equation, a nonlinear PDE that describes the behaviour of magnetization inside a magnetic object. It is known that the Landau-Lifshitz equation has an infinite number of stable equilibrium points. We present a control that forces the system from one equilibrium to another. This is proved using Lyapunov Theory. The linear Landau--Lifshitz equation is also investigated because it provides insight to the nonlinear equation. The linear model is shown to be well--posed and its eigenvalue problem is solved. The resulting eigenvalues suggest an appropriate control for the nonlinear Landau--Lifshitz equation. Mathematically, the control causes the initial equilibrium to no longer be an equilibrium and the second point to be an asymptotically stable equilibrium point. This implies the magnetization has moved to the second equilibrium and hence the control objective is successfully achieved.
The existence of multiple stable equilibria is closely related to hysteresis. This is a phenomenon that is often characterized by a looping behaviour; however, the existence of a loop is not sufficient to identify hysteretic systems. A more precise definition is required, which is presented, and applied to the Landau--Lifshitz equation (both linear and nonlinear) to establish the presence of hysteresis.
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Propagation of Gibbsiannes for infinite-dimensional gradient Brownian diffusionsRoelly, Sylvie, Dereudre, David January 2004 (has links)
We study the (strong-)Gibbsian character on R Z d of the law at time t of an infinitedimensional gradient Brownian diffusion / when the initial distribution is Gibbsian.
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Stable H∞ Controller Design for Infinite-Dimensional Systems via Interpolation-based Approach / 補間理論を用いた無限次元システムに対する安定なH無限大制御器の設計Wakaiki, Masashi 24 March 2014 (has links)
京都大学 / 0048 / 新制・課程博士 / 博士(情報学) / 甲第18402号 / 情博第517号 / 新制||情||91(附属図書館) / 31260 / 京都大学大学院情報学研究科複雑系科学専攻 / (主査)教授 山本 裕, 教授 西村 直志, 教授 太田 快人 / 学位規則第4条第1項該当 / Doctor of Informatics / Kyoto University / DFAM
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On Amenable and Congenial Bases for Infinite Dimensional AlgebrasMuhammad, Rebin Abdulkader 02 June 2020 (has links)
No description available.
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