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

Literature

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 (, http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.145.3012&rep=rep1&type=pdf), Department of Mathematics, University of California, Berkeley

For students

General

ID 154887
  Summer semester
6 ECTS
L0 English Level