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Mathematical basics for the theory of nonlinear dynamical systems, application examples of nonlinear systems, methods for the analysis of nonlinear systems, singular perturbation theory (slow and fast manifold, multi-scale models), sensitivity analysis, Lyapunov stabilty for autonomous and nonautonomous systems, Barbalat’s Lemma, Lyapunov based control design (PD control, computed torque, integrator backstepping, generalized backstepping, adaptive backstepping), passivity, positive realness, dissipativity, Kalman-Yakubovich-Popov Lemma, actuator/sensor collocation, Port-Hamiltonian systems, passivity-based control
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