Del 21 i serien Texts in Applied Mathematics

Introduction to Infinite-Dimensional Linear Systems Theory

Häftad, Engelska, 2013

AvRuth F. Curtain,Hans Zwart

1 289 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Finns i fler format (1)

Inbunden

1 159 kr

Skickas inom 10-15 vardagar

Infinite dimensional systems is now an established area of research. Given the recent trend in systems theory and in applications towards a synthesis of time- and frequency-domain methods, there is a need for an introductory text which treats both state-space and frequency-domain aspects in an integrated fashion. The authors' primary aim is to write an introductory textbook for a course on infinite dimensional linear systems. An important consideration by the authors is that their book should be accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Consequently, all the mathematical background is summarized in an extensive appendix. For the majority of students, this would be their only acquaintance with infinite dimensional systems.

Produktinformation

Utgivningsdatum2013-03-01
Mått155 x 235 x 39 mm
Vikt1 072 g
FormatHäftad
SpråkEngelska
SerieTexts in Applied Mathematics
Antal sidor698
Upplaga1995
FörlagSpringer-Verlag New York Inc.
ISBN9781461287025

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

1 Introduction.- 1.1 Motivation.- 1.2 Systems theory concepts in finite dimensions.- 1.3 Aims of this book.- 2 Semigroup Theory.- 2.1 Strongly continuous semigroups.- 2.2 Contraction and dual semigroups.- 2.3 Riesz-spectral operators.- 2.4 Delay equations.- 2.5 Invariant subspaces.- 2.6 Exercises.- 2.7 Notes and references.- 3 The Cauchy Problem.- 3.1 The abstract Cauchy problem.- 3.2 Perturbations and composite systems.- 3.3 Boundary control systems.- 3.4 Exercises.- 3.5 Notes and references.- 4 Inputs and Outputs.- 4.1 Controllability and observability.- 4.2 Tests for approximate controllability and observability.- 4.3 Input-output maps.- 4.4 Exercises.- 4.5 Notes and references.- 5 Stability, Stabilizability, and Detectability.- 5.1 Exponential stability.- 5.2 Exponential stabilizability and detectability.- 5.3 Compensator design.- 5.4 Exercises.- 5.5 Notes and references.- 6 Linear Quadratic Optimal Control.- 6.1 The problem on a finite-time interval.- 6.2 The problem on the infinite-time interval.- 6.3 Exercises.- 6.4 Notes and references.- 7 Frequency-Domain Descriptions.- 7.1 The Callier-Desoer class of scalar transfer functions.- 7.2 The multivariable extension.- 7.3 State-space interpretations.- 7.4 Exercises.- 7.5 Notes and references.- 8 Hankel Operators and the Nehari Problem.- 8.1 Frequency-domain formulation.- 8.2 Hankel operators in the time domain.- 8.3The Nehari extension problem for state linear systems.- 8.4 Exercises.- 8.5 Notes and references.- 9 Robust Finite-Dimensional Controller Synthesis.- 9.1 Closed-loop stability and coprime factorizations.- 9.2 Robust stabilization of uncertain systems.- 9.3 Robust stabilization under additive uncertainty.- 9.4 Robust stabilization under normalized left-coprime-factor uncertainty.- 9.5 Robustness in the presence of small delays.- 9.6 Exercises.- 9.7 Notes and references.- A. Mathematical Background.- A.1 Complex analysis.- A.2 Normed linear spaces.- A.2.1 General theory.- A.2.2 Hilbert spaces.- A.3 Operators on normed linear spaces.- A.3.1 General theory.- A.3.2 Operators on Hilbert spaces.- A.4 Spectral theory.- A.4.1 General spectral theory.- A.4.2 Spectral theory for compact normal operators.- A.5 Integration and differentiation theory.- A.5.1 Integration theory.- A.5.2 Differentiation theory.- A.6 Frequency-domain spaces.- A.6.1 Laplace and Fourier transforms.- A.6.2 Frequency-domain spaces.- A.6.3 The Hardy spaces.- A.7 Algebraic concepts.- A.7.1 General definitions.- A.7.2 Coprime factorizations over principal ideal domains.- A.7.3 Coprime factorizations over commutative integral domains.- References.- Notation.

Mer från samma författare

Modelling, Robustness and Sensitivity Reduction in Control Systems

Ruth F. Curtain

Häftad, 2012

719 kr

Mer från samma serie

Del 77

Introduction to Applied Probability

Pierre Brémaud

Inbunden, 2024

1 079 kr

Differential Equations and Their Applications

Martin Braun

Häftad, 1994

869 kr

Del 2

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Stephen Wiggins

Inbunden, 2003

1 859 kr

Del 13

Introduction to Partial Differential Equations

Michael Renardy, Robert C. Rogers

Inbunden, 2004

1 289 kr

Geometric Control of Mechanical Systems

Francesco Bullo, Andrew D. Lewis

Inbunden, 2004

1 439 kr

Methods and Applications of Singular Perturbations

Ferdinand Verhulst

Inbunden, 2005

1 079 kr

Introduction to Numerical Methods in Differential Equations

Mark H. Holmes

Inbunden, 2006

1 079 kr

Numerical Linear Algebra

Grégoire Allaire, Sidi Mahmoud Kaber

Inbunden, 2007

1 289 kr

Del 46

Introduction to Optimization

Pablo Pedregal

Inbunden, 2003

1 079 kr

Nodal Discontinuous Galerkin Methods

Jan S. Hesthaven, Tim Warburton

Inbunden, 2007

1 439 kr

Du kanske också är intresserad av

Del 21