Stability and Stabilizability Criteria of Nonlinear Interval Systems.

This paper introduces innovative approaches to assess the stability and stabilizability of nonlinear interval systems, offering efficient methods for designing state feedback stabilization controllers. Stability analysis relies on matrix theory and Lyapunov’s method, providing less conservative results compared to conventional techniques. Stabilizability analysis presents conditions for achieving stabilizability and designing feedback stabilization controller, reducing computational complexity. The effectiveness and advantages of these methods are illustrated through examples.