"Provides a systematic study of matrix Liapunov functions, incorporating new techniques for the qualitative analysis of nonlinear systems encountered in a wide variety of real-world situations."
"This book is very innovative and systematically developed and rich on ideas. It has been written by one of the experts in the field. . ..recommended to any specialist in nonlinear dynamical systems and differential equations, both in deterministic and stochastic analysis. "
---Zentralblatt fur Mathematik
". . .appropriate not only for professionals in the field of stability, but for a very large audience of scientists from various fields of natural sciences or technology who deal with stability problems as a part of their main investigations. "
". . .a useful book….for those interested in the theory of Liapunov function for its own sake, the book has a careful development of the mathematical machinery behind the method, including detailed bibliographic notes. For those interested in apply the theory, there are numerous examples, including many that go beyond merely stating the conditions that need to be satisfied by the Liapunov function to actually constructing the function itself. "
Preliminaries; matrix Liapunov function methods in general; stability of singularly-perturbed systems; stability analysis of stochastic systems; some models of real world phenomena.