Mathematical Methods in Control Theory

Course Description

Nonlinear phenomena: limit cycles, bifurcations, complex behaviour of dynamical systems and examples. Describing function. Input-output analysis and stability. Lyapunov theory of stability for nonautonomous systems. Asymptotic, uniform, exponential stability. LaSalle principle. Nyquist criterion of stability. Variational problems. Optimal control of systems. Pontryagin maximum principle. Bang-bang principle.

Study Programmes

Postgraduate doctoral study programme


Shankar Sastry (2013.), Nonlinear Systems, Springer Science & Business Media
Hassan K. Khalil (2013.), Nonlinear Systems, Pearson
Lawrence C. Evans (.), An Introduction to Mathematical Optimal Control Theory (,, Department of Mathematics, University of California, Berkeley

For students


ID 154887
  Summer semester
L0 English Level