Mathematical Methods in Control Theory
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.
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 (, http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.145.3012&rep=rep1&type=pdf), Department of Mathematics, University of California, Berkeley
L0 English Level