Format:
Online-Ressource
,
v.: digital
Edition:
Online-Ausg. Springer eBook Collection. Mathematics and Statistics
ISBN:
9783034601610
Series Statement:
Operator Theory: Advances and Applications 203
Content:
This is the second volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.
Content:
This is a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications. The intended audience are mathematicians, physicists, electrical engineers in academia and industry, researchers and graduate students, that use methods of operator theory and related fields of mathematics, such as matrix theory, functional analysis, differential and difference equations, in their work.
Note:
Description based upon print version of record
,
Title Page; Copyright Page; Table of Contents; The XIXth International Workshop on Operator Theory and its Applications. II; Exact Solutions to the Nonlinear Schrodinger Equation; 1. Introduction; 2. Main results; 3. Examples; References; Robust Control, Multidimensional Systems and Multivariable Nevanlinna-Pick Interpolation; 1. Introduction; 2. The 1-D systems/single-variable case; 2.1. The model-matching problem; 2.2. The frequency-domain stabilization and H∞ problem; 2.3. The state-space approach; 2.4. Notes; 3. The fractional representation approach to stabilizability and performance
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3.1. Parametrization of stabilizing controllers in terms of a given stabilizing controller3.2. The Youla-Kucera parametrization; 3.3. The standard H∞-problem reduced to model matching.; 3.4. Notes; 4. Feedback control for linear time-invariant multidimensional systems; 4.1. Multivariable frequency-domain formulation; 4.2. Multidimensional state-space formulation; 4.3. Equivalence of frequency-domain and state-space formulations; 5. Robust control with structured uncertainty: the commutative case; 5.1. Gain-scheduling in state-space coordinates
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5.2. Gain-scheduling: a pure frequency-domain formulation5.3. Robust control with a hybrid frequency-domain/state-space formulation; 5.4. Notes; 6. Robust control with dynamic time-varying structured uncertainty; 6.1. The state-space LFT-model formulation; 6.2. A noncommutative frequency-domain formulation; 6.3. Equivalence of state-space noncommutative LFT-model and noncommutative frequency-domain formulation; 6.4. Notes; References; Absence of Existence and Uniqueness for Forward-backward Parabolic Equations on a Half-line; 1. Introduction; 2. Preliminaries
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3. Absence of existence and uniqueness4. Satisfaction of (C1)-(C4); References; Bounds for Eigenvalues of the p-Laplacian with Weight Function of Bounded Variation; 1. Introduction; 2. Generalized total variation; 3. Estimates of eigenvalues; 4. Optimality of bounds I; 5. Optimality of bounds II; 6. The periodic p-Laplacian; References; The Gelfand-Levitan Theory for Strings; 1. Introduction; 2. Notation; 3. The spectral function ρ0,β; 4. The transformation operator; 5. Existence of the transformation operator; 6. Smoothness; 7. The inverse problem; 8. The limit-point case; 9. The string
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ReferencesOn the Uniqueness of a Solution to Anisotropic Maxwell's Equations; Introduction; 1. Basic boundary value problems for Maxwell's equations; 2. A fundamental solution to Maxwell's operator; 3. Green's formulae; 4. Representation of solutions and layer potentials; 5. The uniqueness of a solution; References; Dichotomy and Boundedness of Solutions for Some Discrete Cauchy Problems; 1. Introduction; 2. Preliminary results; 3. Dichotomy and boundedness; 4. The case of operators acting on Banach spaces; References
,
Control Laws for Discrete Linear Repetitive Processes with Smoothed Previous Pass Dynamics
Additional Edition:
ISBN 9783034601603
Language:
English
Keywords:
Konferenzschrift
DOI:
10.1007/978-3-0346-0161-0
URL:
Volltext
(lizenzpflichtig)
Author information:
Gohberg, Yiśrāʿēl Z. 1928-2009
