Volume One: Stability of Motions: The Role of Multicomponent Liapunov’s Functions
A . A. Martynyuk Institute of Mechanics, Kiev, Ukraine
This volume presents stability theory for ordinary differential equations, discrete systems and systems on time scale, functional differential equations and uncertain systems via multicomponent Liapunov’s functions.
2007 Hbk ISBN: 978-1-904868-45-3 300pp
The book sets out a new approach to solution of the problem of constructing Liapunov’s functions for three classes of systems of equations. This approach is based on the application of matrix-valued function as an appropriate tool for scalar or vector Liapunov function.
Contents include: Stability analysis of continuous systems; stability analysis of discrete-time systems; stability in functional differential systems; stability analysis of impulsive systems; applications.
The volume is intended for postgraduate students, applied physicists, researchers in aerospace, control and electrical engineers, industrial engineers and performance analysts
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