Postgraduate Students 《Linear System Theory》 Course Examination 2021 Autumn Test time:100 minutes Test Form: Open-book exam (Note: This page is not answer sheet. Please write your answer on the answer sheet.) 一、Short answers. (10分) 1) How to judge the observability for linear constant system? 2) For continuous linear time-invariant(LTl) systems, what are the sufficient and necessary for arbitrary pole assignment?

Practical Mathematical Optimization Basic Optimization Theory and Gradient-Base 实用数学优化：基本优化理论与基于梯度的算法 本书为数学、工程、计算机科学和其他应用科学的高年级本科生和研究生提供了广泛的数学优化课程工具。介绍了优化的基本原理，重点介绍了基于梯度的数值优化策略和算法，可用于求解光滑和有噪声的不连续优化问题。还注意到函数求值的困难和存在多个最小值，这往往不必要地抑制了基于梯度的方法的使用。这第二版介绍了仅梯度优化策略的进一步改进，以处理目标函数中的不连续。新的章节讨论了代理模型的构造，以及新的仅限梯度解决方案策略和使用Python的数值优化。一个特殊的Python模块以电子方式提供(通过springerlink)，它使文本中的新算法易于访问并直接适用。数值例子和练习包括鼓励高级到研究生水平的学生计划，执行，并反映数值调查。通过对概念材料的深入理解，学生、科学家和工程师将能够发展系统和科学的数字调研技能。 https://link.springer.com/book/10.1007/978-3-3

在清华的博弈论教程 是博弈论入门的很好材料

对lte的理论介绍的很详细，无论是物理层还是高层。能对整个系统有了全面的了解。

Few technical terms have gained such rapid notoriety as the appela- tion HNP-complete." In the short time since its introduction in the early 1970's, this term has come to symbolize the abyss of inherent intractability that algorithm designers increasingly face as they seek to solve larger and more complex problems. A wide variety of commonly encountered prob- lems from mathematics, computer science, and operations research are now known to be NP-complete, and the collection of such problems continues to grow almost daily. Indeed, the NP-complete problems are now so pervasive that it is important for anyone concerned with the computational aspects of these fields to be familiar with the meaning and implications of this concept.

卫星导航专业书籍，介绍很详细，英文原版，通信专业的研究方向。

国外的关于GPS的系统且全面描述的书籍，由多个专家合著而成，每一章节为一个专题，非常有权威性，此文档为volume II

Probability Theory,Chow Teicher 1997

递归辨识理论与应用

Graph Theory Authors: Adrian Bondy, U.S.R Murty Publisher: Springer; 3rd Corrected Printing edition (Aug 14 2008) ISBN-10: 1846289696 ISBN-13: 978-1846289699 = Product Description = The primary aim of this book is to present a coherent introduction to graph theory, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated. The book also serves as an introduction to research in graph theory. = Table of Contents = Graphs - Subgraphs - Connected Graphs - Trees - Separable and Nonseparable Graphs - Tree-Search Algorithms - Flows in Networks - Complexity of Algorithms - Connectivity - Planar Graphs - The Four-Colour Problem - Stable Sets and Cliques - The Probabilistic Method - Vertex Colourings - Colourings of Maps - Matchings - Edge Colourings - Hamilton Cycles - Coverings and Packings in Directed Graphs - Electrical Networks - Integer Flows and Coverings - Unsolved Problems - References - Glossary - Index = Reviews = For more than three decades, the authors' Graph Theory with Applications (1976) has served as perhaps the classic introduction to graph theory. With happy shock, the reader learns that Bondy and Murty have updated the book, doubling its size. Three decades would count as a long time in the life of any active scientific pursuit, but the original year of publication saw the solution to the four-color conjecture that catalyzed a vast revitalization of graph theory. Graph theory, moreover, now has intimate interactions with computer science, practical and theoretical: three decades ago, computer networks barely existed and the founding papers of complexity theory had just appeared. Connections between graph theory and probability have also undergone a revolution. In short, the passage of time has transformed this subject in these and other ways, and the authors have transformed their book accordingly. They do, by choice, largely omit the theory of graph minors (developed by Paul Seymour and Neil Robertson and followers), which certainly now deserves a monographic treatment of its own. Summing up: Recommended. Lower-division undergraduate through professional collections. CHOICE This book is a follow-on to the authors' 1976 text, Graphs with Applications. What began as a revision has evolved into a modern, first-class, graduate-level textbook reflecting changes in the discipline over the past thirty years... This text hits the mark by appearing in Springer’s Graduate Texts in Mathematics series, as it is a very rigorous treatment, compactly presented, with an assumption of a very complete undergraduate preparation in all of the standard topics. While the book could ably serve as a reference for many of the most important topics in graph theory, it fulfills the promise of being an effective textbook. The plentiful exercises in each subsection are divided into two groups, with the second group deemed "more challenging". Any exercises necessary for a complete understanding of the text have also been marked as such. There is plenty here to keep a graduate student busy, and any student would learn much in tackling a selection of the exercises... Not only is the content of this book exceptional, so too is its production. The high quality of its manufacture, the crisp and detailed illustrations, and the uncluttered design complement the attention to the typography and layout. Even in simple black and white with line art, it is a beautiful book. SIAM Book Reviews "A text which is designed to be usable both for a basic graph theory course … but also to be usable as an introduction to research in graph theory, by including more advanced topics in each chapter. There are a large number of exercises in the book … . The text contains drawings of many standard interesting graphs, which are listed at the end." (David B. Penman, Zentralblatt MATH, Vol. 1134 (12), 2008) MathSciNet Reviews "The present volume is intended to serve as a text for "advanced undergraduate and beginning graduate students in mathematics and computer science" (p. viii). It is well suited for this purpose. The writing is fully accessible to the stated groups of students, and indeed is not merely readable but is engaging… Even a complete listing of the chapters does not fully convey the breadth of this book… For researchers in graph theory, this book offers features which parallel the first Bondy and Murty book: it provides well-chosen terminology and notation, a multitude of especially interesting graphs, and a substantial unsolved problems section…One-hundred unsolved problems are listed in Appendix A, a treasure trove of problems worthy of study… (In short) this rewrite of a classic in graph theory stands a good chance of becoming a classic itself." "The present volume is intended to serve as a text for ‘advanced undergraduate and beginning graduate students in mathematics and computer science’ … . The writing is fully accessible to the stated groups of students, and indeed is not merely readable but is engaging. The book has many exercise sets, each containing problems … ." (Arthur M. Hobbs, Mathematical Reviews, Issue 2009 C) "A couple of fantastic features: Proof techniques: I love these nutshelled essences highlighted in bordered frames. They look like pictures on the wall and grab the view of the reader. Exercises: Their style, depth and logic remind me of Lovász’ classical exercise book. Also the fact that the name of the author is bracketed after the exercise…Figures: Extremely precise and high-tech…The book contains very recent results and ideas. It is clearly an up-to-date collection of fundamental results of graph theory…All-in-all, it is a marvelous book." (János Barát, Acta Scientiarum Mathematicarum, Vol. 75, 2009)