Numerical Linear Algebra in Signals, Systems and Control

ISBN-13: 9789400736238 / Angielski / Miękka / 2013 / 480 str.

Paul Van Dooren; Shankar P. Bhattacharyya; Raymond H. Chan

Opis

The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.

Spis treści

1 The Anti-Reflective Transform and Regularization by Filtering; A. Aricò, M. Donatelli, J. Nagy and S. Serra-Capizzano.

2 Classifications of Recurrence Relations via Subclasses of (H, m)-quasiseparable Matrices; T. Bella, V. Olshevsky and P. Zhlobich

3 Partial Stabilization of Descriptor Systems Using Spectral Projectors; Peter Benner

4 Comparing Two Matrices by Means of Isometric Projections; T. P. Cason, P.-A. Absil and P. Van Dooren

5 A Framelet-Based Algorithm for Video Enhancement; Raymond H. Chan, Yiqiu Dong and Zexi Wang

6 Perturbation Analysis of the Mixed-Type Lyapunov Equation; Mingsong Cheng and Shufang Xu

7 Numerical and Symbolical Methods for the GCD of Several Polynomials; Dimitrios Christou, Nicos Karcanias, Marilena Mitrouli and Dimitrios Triantafyllou

8 Numerical Computation of the Fixed Poles in Disturbance Decoupling for Descriptor Systems; Delin Chu and Y. S. Hung

9 Robust Control of Discrete Linear Repetitive Processes with Parameter Varying Uncertainty; Bła_zej Cichy, Krzysztof Gałkowski, Eric Rogers and Anton Kummert

10 Unique Full-Rank Solution of the Sylvester-Observer Equation and Its Application to State Estimation in Control Design; Karabi Datta and Mohan Thapa

11 On Symmetric and Skew-Symmetric Solutions to a Procrustes Problem; Yuan-Bei Deng and Daniel Boley

12 Some Inverse Eigenvalue and Pole Placement Problems for Linear and Quadratic Pencils; Sylvan Elhay

13 Descent Methods for Nonnegative Matrix Factorization; Ngoc-Diep Ho, Paul Van Dooren and Vincent D. Blondel

14 A Computational Method for Symmetric Stein Matrix Equations; K. Jbilou and A. Messaoudi

15 Optimal Control for Linear Descriptor Systems with Variable Coefficients; Peter Kunkel and Volker Mehrmann

16 Robust Pole Assignment for Ordinary and Descriptor Systems via the Schur Form; Tiexiang Li, Eric King-wah Chu and Wen-Wei Lin

17 Synthesis of Fixed Structure Controllers for Discrete Time Systems; Waqar A. Malik, Swaroop Darbha and S. P. Bhattacharyya

18 A Secant Method for Nonlinear Matrix Problems; Marlliny Monsalve and Marcos Raydan

19 On FastICA Algorithms and Some Generalisations; Hao Shen, Knut Hüper and Martin Kleinsteuber

20 On Computing Minimal Proper Nullspace Bases with Applications in Fault Detection; Andras Varga

21 Optimal Control of Switched System with Time Delay Detection of Switching Signal; C. Z. Wu, K. L. Teo and R. Volker