Perspectives in Mathematical System Theory, Control, and Signal Processing de Jan C. Willems

Perspectives in Mathematical System Theory, Control, and Signal Processing

Jan C. Willems

Shinji Hara

Yoshito Ohta

Hisaya Fujioka

en Limba Engleză Paperback – 28 feb 2010

This Festschrift, published on the occasion of the sixtieth birthday of Yutaka - mamoto (‘YY’ as he is occasionally casually referred to), contains a collection of articles by friends, colleagues, and former Ph.D. students of YY. They are a tribute to his friendship and his scienti?c vision and oeuvre, which has been a source of inspiration to the authors. Yutaka Yamamoto was born in Kyoto, Japan, on March 29, 1950. He studied applied mathematics and general engineering science at the Department of Applied Mathematics and Physics of Kyoto University, obtaining the B.S. and M.Sc. degrees in 1972 and 1974. His M.Sc. work was done under the supervision of Professor Yoshikazu Sawaragi. In 1974, he went to the Center for Mathematical System T- ory of the University of Florida in Gainesville. He obtained the M.Sc. and Ph.D. degrees, both in Mathematics, in 1976 and 1978, under the direction of Professor Rudolf Kalman.

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Cuprins

Circuit Theory.- Old and New Directions of Research in System Theory.- Regular Positive-Real Functions and the Classification of Transformerless Series-Parallel Networks.- Ports and Terminals.- Control.- On the Sample Complexity of Probabilistic Analysis and Design Methods.- A Constant Factor Approximation Algorithm for Event-Based Sampling.- A Unified Approach to Decentralized Cooperative Control for Large-Scale Networked Dynamical Systems.- Control and Stabilization of Linear Equation Solvers.- Nonlinear Output Regulation: A Unified Design Philosophy.- An Estimated General Cross Validation Function for Periodic Control Theoretic Smoothing Splines.- Stable Controller Design for Systems with Time Delays.- Dynamic Quantization for Control.- Graphs and Networks.- Convergence of Periodic Gossiping Algorithms.- Distributed PageRank Computation with Link Failures.- Predicting Synchrony in a Simple Neuronal Network.- Mathematical System Theory.- On the Stability and Instability of Padé Approximants.- On the Use of Functional Models in Model Reduction.- Quadratic Performance Verification for Boundary Value Systems.- Lyapunov Stability Analysis of Higher-Order 2-D Systems.- From Lifting to System Transformation.- Contractive Systems with Inputs.- Dissipativity and Stability Analysis Using Rational Quadratic Differential Forms.- On Behavioral Equivalence of Rational Representations.- Modeling.- Modeling and Stability Analysis of Controlled Passive Walking.- An Optimization Approach to Weak Approximation of Lévy-Driven Stochastic Differential Equations.- Compound Control: Capturing Multivariable Nature of Biological Control.- Law of Large Numbers, Heavy-Tailed Distributions, and the Recent Financial Crisis.- Signal Processing.- Markov Models for Coherent Signals:Extrapolation in the Frequency Domain.- Digital Signal Processing and the YY Filter.- Sparse Blind Source Separation via ?1-Norm Optimization.- YY Filter — A Paradigm of Digital Signal Processing.- System Identification.- How to Sample Linear Mechanical Systems.- A Note on LQ Decomposition in Stochastic Subspace Identification.- Modeling Systems Based on Noisy Frequency and Time Domain Measurements.- Blind Identification of Polynomial Matrix Fraction with Applications.