In this monograph the author presents explicit conditions for the
exponential, absolute and input-to-state stabilities including
solution estimates of certain types of functional differential
equations. The main methodology used is based on a combination of
recent norm estimates for matrix-valued functions, comprising the
generalized Bohl-Perron principle, together with its integral
version and the positivity of fundamental solutions. A significant
part of the book is especially devoted to the solution of the
generalized Aizerman problem.
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