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The aim of the course is to provide an introduction to system theory for dynamical systems. Knowledge of linear algebra, differential equations and physics is recommended. |
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Mathematic Analysis II, Physics II |
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A fundamental requirement in several Engineering areas is to be able of representing and interpreting phenomena and complex objects. Through the use of the oriented dynamical system paradigm, System Theory provides a methodological set for dealing with systems classified on the bases of their mathematical description. The aim of the course is to provide the students an introduction to the basic methodologies for the study of dynamical systems and in particular to the class of linear time-invariant systems (continuous time and discrete time). |
- Dynamical System and their state Representation
- Linear, Time-invariant Differential/ Difference Representations
- Analysis in the time domain
- Analysis in the complex variable domain
- Study of the frequency behavior
- Transfer function and Realization problems
- An introduction to stability theory
- The internal structure properties
- Interconnected systems: model computation
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The proposed exercises are each related to the macro-areas in which the course is partitionned. The exercises have the following objectives
- To Evaluate the level of knowledge acquired in the field
- To stimulate a discussion for a deeper comprehension of the subject
- To introduce new concepts which are at the bases of the analysis of dynamical systems.
The evaluation takes into account these aspects |