书目名称 | Frequency Domain Criteria for Absolute Stability |
副标题 | A Delay-integral-qua |
编辑 | Dmitry Altshuller |
视频video | |
概述 | Shows the reader a new method for obtaining results in stability theory.Presents important new results for increasing nonlinear system stability.Self-contained presentation of prerequisite background |
丛书名称 | Lecture Notes in Control and Information Sciences |
图书封面 |  |
描述 | Frequency Domain Criteria for Absolute Stability focuses on recently-developed methods of delay-integral-quadratic constraints to provide criteria for absolute stability of nonlinear control systems. The known or assumed properties of the system are the basis from which stability criteria are developed. Through these methods, many classical results are naturally extended, particularly to time-periodic but also to nonstationary systems. Mathematical prerequisites including Lebesgue-Stieltjes measures and integration are first explained in an informal style with technically more difficult proofs presented in separate sections that can be omitted without loss of continuity. .The results are presented in the frequency domain – the form in which they naturally tend to arise. In some cases, the frequency-domain criteria can be converted into computationally tractable linear matrix inequalities but in others, especially those with a certain geometric interpretation, inferences concerning stability can be made directly from the frequency-domain inequalities. .The book is intended for applied mathematicians and control systems theorists. It can also be of considerable use to mathematically- |
出版日期 | Book 2013 |
关键词 | Automatic Control; Control Theory; Frequency-domain Methods; Gradient Nonlinearities; Monotone Nonlinear |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4471-4234-8 |
isbn_softcover | 978-1-4471-4233-1 |
isbn_ebook | 978-1-4471-4234-8Series ISSN 0170-8643 Series E-ISSN 1610-7411 |
issn_series | 0170-8643 |
copyright | Springer-Verlag London 2013 |