Overview
- 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 inequalities in the underlying theme
- This volume demonstrates the manifestations of general comparison principle by showing how this effective technique can be adapted to study various apparently diverse nonlinear dynamics problems.
Part of the book series: Systems & Control: Foundations & Applications (SCFA)
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Table of contents (5 chapters)
Keywords
About this book
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 eliminate obscurity from both.”
Mathematical analysis on time scales accomplishes exactly this.
This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.
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Bibliographic Information
Book Title: Stability Theory for Dynamic Equations on Time Scales
Authors: Anatoly A. Martynyuk
Series Title: Systems & Control: Foundations & Applications
DOI: https://doi.org/10.1007/978-3-319-42213-8
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-42212-1Published: 30 September 2016
Softcover ISBN: 978-3-319-82526-7Published: 22 April 2018
eBook ISBN: 978-3-319-42213-8Published: 22 September 2016
Series ISSN: 2324-9749
Series E-ISSN: 2324-9757
Edition Number: 1
Number of Pages: XI, 223
Topics: Dynamical Systems and Ergodic Theory, Systems Theory, Control