Introduction to dynamic systems and their applications
Spring 2024. Reception Hours upon contacting in advance: Tuesday, 14:10 - 15:00, Room 123a, Schreiber building, otherwise on ZOOM
Literature:
Arnold V.I. "Ordinary differential equations"
Birkhoff G., Rota G.-C. "Ordinary differential equations"
Boyce W.E., DiPrima R.C. "Elementary differential equations and boundary value problems"
Coddington E.A., Levinson N. "Theory of ordinary differential equations"
Filippov, A.F., 1988, Differential Equations with Discontinuous Right-hand Side. Kluwer, Dordrecht, the Netherlands.
Shtessel Y., Edwards C., Fridman L., Levant
A., 2013, Sliding Mode Control and Observation. Birkhauser Basel, US,
Hebrew description and syllabus
Short Hebrew/English description
Preliminaries: Linear systems with
constant coefficients: method of undetermined coefficients, real numbers' case
Some exercises:
The following problems were given in other courses, where also the corresponding solutions were given.
Theorem of existence and uniquiness: 1-4(solution); Dependence on parameters: 1,2 (solution);
Newton equation: 1-3 (part.solution); Liouville theorem: 1-3 (solution); Matrix exponent: 3(solution);
Comparison theorems: 1-4(solution); Sturm theorems: 1-4(solution); Critical points in plane: 1-11(solution);
Stability theory: 1-6(solution); stability region: 1,2,3(solution) ; region of attraction, region of convergence: 1,2(solution);
Discontinuous DEs and differential inclusions: survey-tutorial in SMC
Real-time Robust Differentiation : description and instructions Presentation
Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11
