In this paper we consider the stabilizability of nonlinear dynamical systems via time-delayed state and output feedback control. Based on an eigenvalue optimisation approach in combination with a continuation argument and a result characterising properties of the optimum eigenvalue configurations, we obtain explicit expressions for stabilizability boundaries for two-dimensional systems. As time-delayed feedback can be used to approximate derivative feedback, we also give a comparison of the stabilizability via both types of feedback.
|Title of host publication||Proceedings of the 47th IEEE Conference on Decision and Control (CDC 2008) : Mexico, Cancún, 9 - 11 December 2008|
|Place of Publication||Piscataway, NJ|
|Publisher||Institute of Electrical and Electronics Engineers|
|Publication status||Published - 2008|