Uncertain Dynamical Systems

Stability and Motion Control

A.A. Martynyuk, Yu. A. Martynyuk-Chernienko

$357

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Chapman & Hall/CRC
28 November 2011

Differential calculus & equations; Applied mathematics

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.

By: A.A. Martynyuk, Yu. A. Martynyuk-Chernienko
Imprint: Chapman & Hall/CRC
Country of Publication: United States
Volume: 302
Dimensions: Height: 234mm, Width: 156mm,
Weight: 544g
ISBN: 9781439876855
ISBN 10: 1439876851
Pages: 310
Publication Date: 28 November 2011
Audience: Professional and scholarly , College/higher education , Undergraduate , Primary
Format: Hardback
Publisher's Status: Active

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.

Martynyuk, A.A.; Martynyuk-Chernienko, Yu. A.

Reviews for Uncertain Dynamical Systems: Stability and Motion Control

This book contains very interesting and advanced material on the application of various forms of Lyapunov functions for tackling a myriad of problems in differential equations. ... it is very rich in both theory and applications and is recommended to all major libraries. It is also recommended to researchers and teachers of differential equations ... . -Yawvi A. Fiagbedzi, Mathematical Reviews, May 2013