Robust Stability of Interval Dynamic Systems

In development of the modern theory of control the keen interest in problems of robustness and roughness of systems is watched. That interest in which attract problems of robustness and roughness in different fields of science and technology and not only in the theory of control, but also in ecology, synergetics, etc. is connected to the fact that these concepts belong to the most important properties of the systems considered in case of their real functioning. The solution of questions robust stability first of all is connected with fundamental works of V.L. Kharitonov in which issues of robust stability for interval polynoms are resolved.This book is devoted to questions of a problem of robust stability of interval dynamic systems. Are considered robust stability of linear interval dynamic systems both in continuous, and in discrete time. Methods of both the algebraic, and frequency direction of researches of a robustness of systems are presented. The original results received by the author for continuous and discrete linear interval dynamic systems, called the "Algebraic method of robust stability" are presented in chapter III of the present book.

Roman Omorov, doctor of engineering, professor, corresponding member of National Academy of Sciences of the Kyrgyz Republic (NAS KR), academician of the engineering academy, FPI, LIPMO, area of researches: synergetrics and control systems; robustness and roughness of systems; innovatics and intellectual property, chief r.s. of NAS KR, Bishkek.