Following the recent developments in the field of absolute
stability, Prof. Xiaoxin Liao, in conjunction with Prof. Pei Yu,
has created a second edition of his seminal work on the subject.
Liao begins with an introduction to the Lurie problem and Lurie
control system, before moving on to the simple algebraic sufficient
conditions for the absolute stability of autonomous and
non-autonomous ODE systems, as well as several special classes of
Lurie-type systems. The focus of the book then shifts toward the
new results and research that have appeared in the decade since the
first edition was published. This book is aimed to be used by
undergraduates in the areas of applied mathematics, nonlinear
control systems, and chaos control and synchronisation, but may
also be useful as a reference for researchers and engineers. The
book is self-contained, though a basic knowledge of calculus,
linear system and matrix theory, and ordinary differential
equations is a prerequisite.
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