ECE 631 – System Theory

Department of Electrical and Computer Engineering, University of Cyprus
Spring Semester: January – May 2020

Instructor Information:

Dr. Ioannis Tzortzis
Office: Green Park 403
E-mail: [email protected]
Office Hours: Anytime


To provide students with the necessary theoretical and computational tools to perform research in the area of systems.

Course Description:

  • Algebraic Structures
    • Vectors Spaces
    • Linear Algebra
  • Topological Structures
    • Norms
    • Limits and Continuity
  • Approximation Theory
  • Optimization
  • System Representations
  • Linearization
  • Stability
  • Controllability & Observability

Assessment Methods:

  1. Mid-term Exam: 25% (Date: February 25th, 2020)
  2. Homeworks: 25%
  3. Online Final exam: 50% (Date: May 28th, 2020, 16:30-19:30)


Supporting Material:

  1. Vectors and Vector Spaces
  2. Linear Operators on Vector Spaces
  3. Eigenvalues and Eigenvectors
  4. Norms


  • J. S. Bay, “Fundamentals of Linear State Space Systems”, McGraw-Hill, 1999
  • C. T Chen, “Linear System Theory and Design”, 3rd edition, Oxford Univ. Press, 1999
  • J.P. Hespanha, “Linear Systems Theory“, Princeton University Press, 2009
  • W.J. Rugh, “Linear System Theory“, 2nd edition, Prentice-Hall, 1996
  • P.J. Antsaklis and A.N. Michel “Linear Systems”, McGraw Hill, 1997
  • C.L. Phillips, J.M. Parr and E.A. Riskin, “Signals, Systems and Transforms”, Prentice-Hall, 2002
  • S. Haykin and B. van Veen, “Signals and Systems”, 2nd ed., Wiley, 2002
  • A.W. Naylor and G.R. Sell, “Linear Operator Theory in Engineering and Science”, Springer-Verlag, 1982