Uncertain Dynamical Systems: Stability and Motion Control (Pure and Applied Mathematics) - Hardcover

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

Hardcover

ISBN 10: 1439876851 ISBN 13: 9781439876855

Publisher: Chapman and Hall/CRC, 2011

Synopsis

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.

About this title

About the Author

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

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2011
• Language: English
• ISBN 10: 1439876851
• ISBN 13: 9781439876855
• Binding: Hardcover
• Edition number: 1
• Number of pages: 310