Nonlinear Adaptive Stabilization via System Immersion: Control Design and Applications -- Cascaded Nonlinear Time-varying Systems: Analysis and Design -- Control of Mechanical Systems from Aerospace Engineering -- Compositional Modelling of Distributed-parameter Systems -- Algebraic Analysis of Control Systems Defined by Partial Differential Equations -- Structural Properties of Discrete and Continuous Linear Time-varying Systems: A Unified Approach."Advanced Topics in Control Systems Theory" contains selected contributions written by lecturers at the second (annual) Formation d’Automatique de Paris (FAP) (Graduate Control School in Paris). It is addressed to graduate students and researchers in control theory with topics touching on a variety of areas of interest to the control community such as cascaded systems, flatness, optimal control, and Hamiltonian and infinite-dimensional systems. The reader is provided with a well-integrated synthesis of the latest thinking in these subjects without the need for an exhaustive literature review. "Advanced Topics in Control Systems Theory" can be used to support either a one-term general advanced course on nonlinear control theory, devoting a few lectures to each chapter, or for more focused and intensive courses at graduate level. The book’s concise but pedagogical manner will give an ideal start to researchers wishing to broaden their knowledge in aspects of modern control theory outside their own expertise.