On quadratic stabilizability of linear switched systems with polytopic uncertainties

This paper presents a new approach for quadratic stabilizability via state feedback of linear switched systems with polytopic uncertainties. State feedback means that the switchings among subsystems are dependent on system states. A less conservative result for quadratic stabilizability is given based on a descriptor model transformation of the system. The main result is given within the framework of linear matrix inequalities. The effectiveness of the proposed method is illustrated with an example to compare with the previous result.