Controllability of Deterministic Systems

This thesis is focused on the controllability of deterministic systems in Hilbert spaces. We basically consider linear systems in finite and infinite dimensional spaces and then mostly, we examine the existing controllability concepts of linear deterministic systems in both finite and infinite dimensional spaces. In Chapter 2, various concepts and their properties are given such as Kalman Rank condition with its proof, definitions of exact and approximate controllability, resolvent conditions, and partial controllability with its conditions. Moreover, controllability of semilinear systems are examined by using contraction mapping theorem and its generalization. Keywords: Exact controllability; Approximate controllability; Partial controllability; Deterministic systems; Kalman Rank Condition; Resolvent Conditions; Contraction mapping.