Nonlinear Systems

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Applied Mathematics

Synopsis:

Model development and parameter identification of nonlinear, time-varying and periodic systems. Analyses of continuous and discrete non-linear systems. Solution presentations of several non-linear models and non-linear differential equations using the MATLAB software. Linearization, stability of nonlinear systems, stability and instability theorems. Nonlinear phenomena -multiple equilibria, limit cycles, bifurcations, chaos.

Requirements:

Methods for solutions of differential and difference equations describing linear systems, fundamentals of numerical mathematics. Use of MATLAB and Simulink.

Syllabus of lectures:

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Study Objective:

Knowledge of nonlinear systems principles combined with good engineering skills. Ability to recognize common nonlinear control problems using effective analysis methods.

Study materials:

Holodniok M., Klíč A., Kubíček M., Marek M.: Metody analýzy nelineárních dynamických systémů, Praha, Academia, 1986, Sastry S.: Nonlinear Systems Analysis. Stability and Control., Springer Verlag, 1999

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: