
Uncertain Dynamical Systems
Stability and Motion Control
Chapman & Hall/CRC (Publisher)
1st Edition
Published on 5. September 2019
Book
Paperback/Softback
310 pages
978-0-367-38207-0 (ISBN)
Description
This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapter contains new conditions of stability of unperturbed motion of the above-mentioned type of equations, along with some applications. Without assuming specific knowledge of uncertain dynamical systems, the book includes many fundamental facts about dynamical behaviour of its solutions. Giving a concise review of current research developments, Uncertain Dynamical Systems: Stability and Motion Control
Details all proofs of stability conditions for five classes of uncertain systems
Clearly defines all used notions of stability and control theory
Contains an extensive bibliography, facilitating quick access to specific subject areas in each chapter
Requiring only a fundamental knowledge of general theory of differential equations and calculus, this book serves as an excellent text for pure and applied mathematicians, applied physicists, industrial engineers, operations researchers, and upper-level undergraduate and graduate students studying ordinary differential equations, impulse equations, dynamic equations on time scales, and set differential equations.
Details all proofs of stability conditions for five classes of uncertain systems
Clearly defines all used notions of stability and control theory
Contains an extensive bibliography, facilitating quick access to specific subject areas in each chapter
Requiring only a fundamental knowledge of general theory of differential equations and calculus, this book serves as an excellent text for pure and applied mathematicians, applied physicists, industrial engineers, operations researchers, and upper-level undergraduate and graduate students studying ordinary differential equations, impulse equations, dynamic equations on time scales, and set differential equations.
More details
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Academic and Professional Practice & Development
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 17 mm
Weight
477 gr
ISBN-13
978-0-367-38207-0 (9780367382070)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

A.A. Martynyuk | Yu. A. Martynyuk-Chernienko
Uncertain Dynamical Systems
Stability and Motion Control
Book
11/2011
1st Edition
Chapman & Hall/CRC
€262.60
Shipment within 15-20 days

A.A. Martynyuk | Yu. A. Martynyuk-Chernienko
Uncertain Dynamical Systems
Stability and Motion Control
E-Book
11/2011
1st Edition
Chapman & Hall/CRC
€89.99
Available for download

A.A. Martynyuk | Yu. A. Martynyuk-Chernienko
Uncertain Dynamical Systems
Stability and Motion Control
E-Book
11/2011
1st Edition
Chapman and Hall
€89.99
Available for download
Persons
Martynyuk, A.A.; Martynyuk-Chernienko, Yu. A.
Content
Introduction. Lyapunov's Direct Method for Uncertain Systems. Stability of Uncertain Controlled Systems. Stability of Quasilinear Uncertain Systems. Stability of Large-Scale Uncertain Systems. Interval and Parametric Stability of Uncertain Systems. Stability of Solutions of Uncertain Impulsive Systems. Stability of Solutions of Uncertain Dynamic Equations on a Time Scale. Singularly Perturbed Systems with Uncertain Structure. Qualitative Analysis of Solutions of Set Differential Equations. Set Differential Equations with a Robust Causal Operator. Stability of a Set of Impulsive Equations. Comments and References.