Unbounded polyhedral invariant sets for linear control systems
线性控制系统的无界多面体不变集

The nonsmooth analysis methods are applied to investigate the unbounded polyhedral invariant sets for linear control systems. When the extreme directions of an unbounded polyhedron satisfy some conditions, we derive the criterion for that unbounded polyhedron to be a weak invariant set for a class of linear control systems. The sufficient condition is also obtained for the unbounded polyhedron to be the strong invariant set for more general linear control systems. Two applied examples are given for illustration.