| 书目名称 | Stability Theory for Dynamic Equations on Time Scales |
| 编辑 | Anatoly A. Martynyuk |
| 视频video | http://file.papertrans.cn/876/875288/875288.mp4 |
| 概述 | This book presents a systematic study of stability theory of dynamic equations on time scales and exhibits the advantage of matrix-valued of Lyapunov functions.It treats the theory of dynamic integral |
| 丛书名称 | Systems & Control: Foundations & Applications |
| 图书封面 |  |
| 描述 | This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems..In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion. .In the book “Men of Mathematics,” 1937, E.T.Bell wrote: “A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to el |
| 出版日期 | Book 2016 |
| 关键词 | Dynamic equations; time scales; integral inequalities; direct Lyapunov method; comparison principle; auxi |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-42213-8 |
| isbn_softcover | 978-3-319-82526-7 |
| isbn_ebook | 978-3-319-42213-8Series ISSN 2324-9749 Series E-ISSN 2324-9757 |
| issn_series | 2324-9749 |
| copyright | Springer International Publishing Switzerland 2016 |
|Archiver|手机版|小黑屋|
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