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　　分類: 图书,进口原版书,科学与技术 Science & Techology ,

作者： Vincent D. Blondel，Alexandre Megretski著

出 版 社：

出版时间： 2004-6-1字数：版次： 1页数： 334印刷时间： 2004/06/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9780691117485包装： 精装编辑推荐

作者简介：Vincent D. Blondel is Professor of Applied Mathematics and Head of the Department of Mathematical Engineering at the University of Louvain, Louvain-la-Neuve, Belgium. Alexandre Megretski is Associate Professor of Electrical Engineering at Massachusetts Institute of Technology.

内容简介

This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science.

The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.

目录

Preface

Associate Editors

Website

PART 1.LINEAR SYSTEMS

Problem 1.1. Stability and composition of transfer functions

Problem 1.2. The realization Problem for Herglotz-Nevanlinna functions

Problem 1.3. Does any analytic contractive operator function on the polydisk have a dissipative scattering nD realization?

Problem 1.4. Partial disturbance decoupling with stability

Problem 1.5. Is Monopoli's model reference adaptive controller correct?

Problem 1.6. Model reduction of delay systems

Problem 1.7. Scbur extremal Problems

Problem 1.8. The elusive ifF test for time-controllability of behaviors

Problem 1.9. A Farkas lemma for behavioral inequalities

Problem 1.10. Regular feedback implementability of linear differential behaviors

Problem 1.11. Riccati stability

Problem 1.12. State and first order representations

Problem 1.13. ProJection of state space realizations

PART 2.STOCHASTIC SYSTEMS

Problem 2.1. On error of estimation and minimum of cost for wide band noise driven systems

Problem 2.2. On the stability of random matrices

Problem 2.3. Aspects of Fisher geometry for stochastic linear systems

Problem 2.4. On the convergence of normal forms for analytic control systems

PART 3.NONLINEAR SYSTEMS

Problem 3.1. Minimum time control of the Kepler equation

Problem 3.2. Linearization of linearly controllable systems

Problem 3.3. Bases for Lie algebras and a continuous CBH formula

……

PART 4.DISCRETE EVENT,HYBRID SYSTEMS

PART 5.DISTRIBUTED PARAMETER SYSTEMS

PART 6.STABLITY,STABILIZATION

PART 7.CONTROLLABILITY,OBSERVABILITY

PART 8.ROBUSTNESS,ROBUST CONTROL

PART 9.IDENTIFICATION,SIGNAL PROCESSING

PART 10.ALGORITHMS,COMPUTATION

 

 

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