Differential equations -- Time invariant systems -- Time varying systems -- Differential inclusions -- Additional properties of strict Liapunov functions -- Monotonicity and generalized derivatives
Summary
"This book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control."--Jacket
Bibliography
Includes bibliographical references (pages 219-232) and index