Systems Theory

Course title: Systems Theory

Code: FEIT01Z008

Number of credits (ECTS): 6

Weekly number of classes: 2+2+1+0

Prerequisite for enrollment of the subject: None

Course goals/Competences: Introduction to the basic concepts of systems theory, systems modeling and representation, analysis of the working states of systems, finding solutions of the matrix state-space equations of the system, similarity transformations and equivalent models of systems, introduction to the basic structural characteristics of systems, such as controllability, observability and stability. After passing the course, the student will be able to represent and find models for systems of any nature, not only technical, and analyze them in order to solve different technical or nontechnical problems.

Total available number of classes: 180

Curriculum: Introduction to systems theory: definition of system. The principal of hierarchical structure. Working states of a system: initial state, transient state, equilibrium steady-state, periodic steady-state, pseudo steady-state. Basic couplings in systems. Conceptual definition of information, signal, object and system. Generalized structural theory of systems: block diagrams and signal-flow graphs. State-space representations of systems. Equivalent models. State-space approach in system analysis and the concept of state in a dynamical system. Eigen structure of the state (system) matrix. System modeling (representation) via state equations. Reachability, controllability, observability and reconstructability of continuous and discrete linear dynamical systems. Different canonical realizations (reachable, controllable, observable and reconstructable form). Stability: Lyapunov approach for stability analysis of continuous and discrete linear dynamical systems. Network flow systems: analysis of network flow systems for solving basic problems of maximum flow and minimum time.

Literature: