Stability of dynamical systems on the role of monotonic and non monotonic lyapunov functions systems control foundations applications anthony n michel ling hou derong liu on amazoncom free shipping on qualifying offers the second edition of this textbook provides a single source for the analysis of system models represented by continuous time and discrete time. specialization of this stability theory to infinite dimensional dynamical systems replete with examples and requiring only a basic knowledge of linear algebra analysis and differential equations this bookcan be used as a textbook for graduate courses in stability theory of dynamical systems. 2 global stability of dynamical systems the image of this intersection under fis contained infku n u which is thus nonempty if f is a homeomorphism and x is in of then for every neighborhood u of x there is a positive k such that fku n u o the f k
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