Quadratic stabilization of switched linear systems with uncertainties of convex cone
凸锥型不确定线性切换系统的二次镇定

The problem of quadratic stabilization of switched linear systems with uncertainties of convex cone is studied.The uncertainties form a convex cone spanned by a number of known constant matrixes.By using convex combination technique,quadratic stabilization conditions are derived for continuous switched linear systems and discrete switched linear systems,respectively.The conditions involve only the matrixes of extreme points.The associated switching laws are also designed.An example is given to illustrate the method.