Dr. Kai Wulff
Research assistant

Ilmenau University of Technology
Faculty of Computer Science and Automation
Institute of Automation and Systems Engineering
Department of Control Engineering

Helmholtzplatz 5
98693 Ilmenau
Zusebau, room 2027

Phone: +49 3677 69-1466




  • Stability analysis of switched and hybrid systems
    Switched and hybrid systems are characterised by a mixture of continuous dynamics and logic-based switching between discrete modes. Examples of such systems are pervasive in engineering practices and can be readily found in the aircraft, automotive, communications industries and many other fields. Despite the recent interest in these systems, their behaviour is poorly understood. Perhaps the most important of these considerations pertains to the stability properties of hybrid and switched systems. I am interested in deriving stability conditions that are easily applicable and provide insight for the design of stable controllers. My recent work has focused on eigenvalue criteria and frequency-domain analysis using common quadratic and common piecewise linear Lyapunov functions.
  • Variable structure control and sliding-mode control
  • Piecewise linear and parameter-varying systems
  • Fractional-order systems
  • Experimental modelling
  • Automotive applications

Student work





last update 03/2024