Department of Control Theory

The theoretical research of the department is currently predominant and focuses on the analysis of controlled systems, the design of their control and the general theory of dynamic systems. In particular:

  • Analysis and design of robust control for large-scale and spatially distributed linear systems.
  • Theoretical and numerical methods for the analysis and design of nonlinear control systems, including chaotic ones.
  • Analysis and design of nonlinear control systems utilizing the properties of their invariant manifolds.
  • Topological theory of dynamical systems and dynamical systems on surfaces and manifolds.
  • Dynamical systems defined on complex networks of various types.
  • Publications by team members

The research in linear control theory has a long tradition in the Institute. During the 1960s researchers of the Institute made considerable developments in both transfer-function and state-space methods. During the 1970s and the 1980s, the members of the Department achieved significant results, which launched an entirely new area of research worldwide. Among these are the parametrization of all controllers stabilizing a given plant (known as the Youla-Kučera parametrization) and the design of control systems via polynomial equations.

In the present time, Department of control theory focuses on nonlinear systems, including chaotic systems and general systems theory. Theoretical results are then successfully applied to specific practical areas like modelling and control of biological and biotechnological systems, modelling and control of mechanical systems, including robotic walking analysis and design. Further topics are related to multi-agent systems, large-scale systems, nonlinear systems interconnected in complex networks and control of distributed parameter systems based on multivariate polynomials.

People

Contact

  • Pod Vodárenskou věží 4, Prague 8, Czechia
  • celikovs@utia.cas.cz
  • +420 266 052 020