书目名称 | Liapunov Functions and Stability in Control Theory |
编辑 | Andrea Bacciotti,Lionel Rosier |
视频video | |
丛书名称 | Lecture Notes in Control and Information Sciences |
图书封面 |  |
描述 | The main purpose of this work is to present a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. We focus in particular on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control (boundedness of state evolution with respect to bounded inputs, stabilization by feedback). Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs. |
出版日期 | Book 20011st edition |
关键词 | Direct Liapunov Method; Lyapunoc Function; Nonlinear Systems; control; control theory; differential inclu |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0110597 |
isbn_ebook | 978-1-84628-817-3Series ISSN 0170-8643 Series E-ISSN 1610-7411 |
issn_series | 0170-8643 |
copyright | Springer-Verlag London 2001 |