Written by renowned authorities in the field, Qualitative Theory of Dynamical Systems is an incomparable reference for pure and applied mathematicians; electrical and electronics, mechanical, civil, aerospace, and industrial engineers; control theorists; physicists; computer scientists; chemists; biologists; econometricians; and operations researchers; and the text of choice for all upper-level undergraduate and graduate students with a background in linear algebra, real analysis, and differential equations taking courses in stability theory, nonlinear systems, dynamical systems, or control systems. Employing a general definition of dynamical systems applicable to finite and infinite dimensional systems, including systems that cannot be characterized by equations, inequalities, and inclusions, this important reference/text - the only book of its kind available - introduces the concept of stability preserving mappings to establish a qualitative equivalence between two dynamical systems - the comparison system and the system to be studied.