This book provides an introduction to the mathematics needed to model, analyze, and design feedback systems. It is an ideal textbook for undergraduate and graduate students, and is indispensable for researchers seeking a self-contained reference on control theory. Unlike most books on the subject, Feedback Systems develops transfer functions through the exponential response of a system, and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl strm and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. strm and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. They provide exercises at the end of every chapter, and an accompanying electronic solutions manual is available. Feedback Systems is a complete one-volume resource for students and researchers in mathematics, engineering, and the sciences. Covers the mathematics needed to model, analyze, and design feedback systems Serves as an introductory textbook for students and a self-contained resource for researchers Includes exercises at the end of every chapter Features an electronic solutions manual Offers techniques applicable across a range of disciplines

Karl Johan Åström IEEE会士，瑞典皇家科学院成员，瑞典皇家工程科学院副院长，美国国家工程学院外籍院士。著名的控制理论专家，在控制理论、控制引擎、计算机控制和自适应控制方面作出了杰出的贡献。曾获得多项奖励，如1985年获ASME Rufus Oldenburger奖，1987年获IFAC Quazza 奖章，1990年获IEEE控制系统领域奖，1993年获IEEE的最高奖项：IEEE荣誉奖章。

Richard M. Murray 著名的控制理论专家，加利福尼亚技术学院控制与动力系统方面的教授。研究领域涉及网络系统的反馈和控制等，当前研究的项目包括新的控制系统架构、生物反馈系统和网络控制系统。除本书外，还与人合著了《机器人控制的数学入门》一书。