## Perspectives in Mathematical System Theory, Control, and Signal Processing: A Festschrift in Honor of Yutaka Yamamoto on the Occasion of his 60th BirthdayJan C. Willems, Shinji Hara, Yoshito Ohta, Hisaya Fujioka 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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### Contents

Old and New Directions of Research in System Theory | 3 |

Regular PositiveReal Functions and the Classiﬁcation of Transformerless SeriesParallel Networks | 14 |

Ports and Terminals | 27 |

On the Sample Complexity of Probabilistic Analysis and Design Methods | 38 |

A Constant Factor Approximation Algorithm for EventBased Sampling | 51 |

A Uniﬁed Approach to Decentralized Cooperative Control for LargeScale Networked Dynamical Systems | 61 |

Control and Stabilization of Linear Equation Solvers | 73 |

A Uniﬁed Design Philosophy | 83 |

From Lifting to System Transformation | 207 |

Contractive Systems with Inputs | 217 |

Dissipativity and Stability Analysis Using Rational Quadratic Differential Forms | 229 |

On Behavioral Equivalence of Rational Representations | 239 |

Modeling and Stability Analysis of Controlled Passive Walking | 253 |

An Optimization Approach to Weak Approximation of LévyDriven Stochastic Differential Equations | 263 |

Capturing Multivariable Nature of Biological Control | 273 |

Law of Large Numbers HeavyTailed Distributions and the Recent Financial Crisis | 284 |

An Estimated General Cross Validation Function for Periodic Control Theoretic Smoothing Splines | 95 |

Stable H Controller Design for Systems with Time Delays | 105 |

Dynamic Quantization for Control | 115 |

Convergence of Periodic Gossiping Algorithms | 126 |

Distributed PageRank Computation with Link Failures | 139 |

Predicting Synchrony in a Simple Neuronal Network | 151 |

On the Stability and Instability of Padé Approximants | 165 |

On the Use of Functional Models in Model Reduction | 176 |

Quadratic Performance Veriﬁcation for Boundary Value Systems | 189 |

Lyapunov Stability Analysis of HigherOrder 2D Systems | 197 |

Extrapolation in the Frequency Domain | 297 |

Digital Signal Processing and the YY Filter | 309 |

Sparse Blind Source Separation via l1Norm Optimization | 321 |

YY Filter A Paradigm of Digital Signal Processing | 331 |

How to Sample Linear Mechanical Systems | 342 |

A Note on LQ Decomposition in Stochastic Subspace Identiﬁcation | 355 |

Modeling Systems Based on Noisy Frequency and Time Domain Measurements | 365 |

Blind Identiﬁcation of Polynomial Matrix Fraction with Applications | 379 |

389 | |

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