PristupačnostMathematical Methods in Control Theory
Data is displayed for academic year: 2023./2024.
Lecturers
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