This book presents a collection of exercises on dynamical systems, modelling and control. Each topic covered includes a summary of the theoretical background and exercises with solved problems on fractional calculus and simple tools for nonlinear systems. Topics covered include: mathematical models; PID controller synthesis; controller synthesis by pole placement; fractional order systems and controllers and many others. This book is essential reading for advanced students with courses in modelling and control in engineering, applied mathematics, biomathematics and physics.