This article presents a computational method to test the stabilizability of discrete-time switched linear systems. The existence conic cover space on whose elements convex condition holds is proved be necessary and sufficient for stabilizability. An algorithm computing partition that satisfies new given. algorithm, which allows us determine bounds exponential convergence rate, overcome conserva...

In this paper, by considering the common points of two conics instead roots binary quartic form, we propose a novel necessary and sufficient condition for positivity form using theory pencil conics. First, show degenerate members according to distinct natures base Then, inequalities about parameters are obtained properties Last, from inequalities, derive criterion determining without discrimina...