Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year It will be activated in the A.Y. 2027/2028
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4 modules among the following:
- 1st year - Embedded operating systems, Embedded & IoT Systems design, Robotics, Computer vision, Advanced visual computing, 3D modeling - delivered in 2026/2027
- 2nd year - Advanced control systems - delivered in 2027/20283 modules among the following:
- 2nd year - Advanced methods for biomedical signal processing, Neurohealth, Medical robotics, Internet of Medical things - delivered in 2027/2028
- 1st or 2nd year - Mathematical modeling for Industrial and medical digital twins, Cloud computing and distributed systems, Medical imaging techniques: principles and applications, Physical Human-Robot interaction - delivered in 2026/2027 or in 2027/2028 Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Dynamic Systems (2026/2027)
Teaching code
4S009000
Teacher
Coordinator
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
IINF-04/A - Systems and Control Engineering
Period
I semestre dal Oct 1, 2026 al Jan 29, 2027.
Courses Single
Authorized
Learning objectives
The course aims to provide knowledge on the theoretical basis of the theory of dynamic systems, in the representation of state, with particular reference to the properties of time invariant linear systems and the methods for the synthesis of controllers for these systems. At the end of the course the student will have to demonstrate ability to apply the acquired knowledge: to provide the knowledge to analyze the structural properties of a linear dynamic system (e.g. reachability and observability) and its stability. Calculate the observability and reachability matrices; design a state feedback controller; design an asymptotic state observer; apply Lyapunov's theory of stability. The student must have the ability to define the technical specifications to design a controller for linear dynamic systems described by differential or difference equations. S/He will have to be able to deal with other engineers (e.g. electronic, automatic, mechanical) to design advanced controllers for complex electromechanical systems. It will have to show ability to continue studies independently in the field of designing robust and optimal controllers for linear and non-linear systems.
Prerequisites and basic notions
Linear algebra, Calculus, Signals and Systems
Program
State models:
- AR, MA, ARMA models,
- input-state-output representation,
- definitions of state, causality, algebraic equivalence,
- state and output update map,
- exponential matrix and its properties,
- Jordan canonical form, characteristic polynomial, algebraic and geometric multiplicity,
- modes, their characteristics, simple/asymptotic/BIBO stability,
- Relation between state representation and Laplace and Z transforms,
- Transfer functions, eigenvalues and poles.
Stability in state models:
- equilibrium state,
- stability of an equilibrium state,
- Lyapunov stability criterion,
- Lyapunov equation,
- linearization and reduced Lyapunov criterion.
Reachability:
- main concepts and the reachability Gramian,
- state space control,
- standard form of reachability, canonical control form,
- PBH criterion of reachability,
- state feedback.
Observability:
- main concepts and observability Gramian,
- State estimation (open and closed loop),
- standard form of observability, canonical observation form,
- PBH criterion of observability.
- Duality
Didactic methods
The course will consist of lectures in the classroom, along with shared slides, notes and possible additional material that could be useful to deepen the topics, and practical exercises in the classroom.
Learning assessment procedures
The exam will consist of a written test covering the topics covered in the course. The test will contain both theoretical questions and exercises requiring the application of the techniques and methodologies explained in class. Each question will contribute to the total score out of 30 according to an additive metric specified in the exam text. Both the theoretical and exercise parts must pass. If the written test is passed (>18), an oral exam may be requested, which will be averaged with the written test.
Evaluation criteria
To pass the exam the student will have to demonstrate that he/she has understood the fundamental concepts (1) of the analysis of dynamic systems (controllability, observability), (2) of the analysis of the stability of dynamic systems, and (3) of the design of controllers and observers.
Criteria for the composition of the final grade
The final grade will be the average of the written grade and of the optional oral exam.
Exam language
English
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