Geometric control of algebraic systems

Abstract In this paper, we present a geometric approach for computing the controlled invariant set of continuous-time control system. While problem is well studied in ellipsoidal case, family quite conservative constrained or switched linear systems. We reformulate invariance as an inequality its support function that valid any convex set. This produces novel algebraic conditions sets with polynomial piecewise quadratic function. compare it common sublevel and show significantly more than our method.