Review of finite-dimensional optimization, calculus of variations, maximum principle, Hamilton-Jacobi-Bellman equation, linear quadratic regulator and optimal deterministic filtering. The aim of this course is to introduce the student to the area of nonlinear systems with a focus on systems’ analysis and control design. Nonlinear phenomena including multiple equilibria, limit cycles and bifurcations, will be presented. Lyaponuv and input output stability will be discussed. Examples of control design will be studied such as feedback linearization and sliding mode control.