A Necessary and Sufficient Condition for Stabilization of Switched Descriptor Time Delay Systems Under Arbitrary Switching
In this paper, a necessary and sufficient condition for generalized quadratic stabilization of switched descriptor time delay SDT systems under arbitrary switching is investigated. Based on the linear matrix inequality LMI method, some results are given: i the SDT system is regular, impulse free, and stable under arbitrary switching; ii the necessary and sufficient condition for switched generalized quadratic stability stabilization of the uncertain SDT systems is derived. Finally, a numerical example is provided to illustrate the effectiveness of the method.