Robust Exponential Stability Analysis of Uncertain Discrete Time‐Varying Linear Systems

This paper studies the robust exponential stability of uncertain discrete linear time‐varying ( UDLTV ) systems. The key tool is the recently proposed generating functions. It can be found that a class of improved generating functions ( IGFS ) can fully characterize the robust exponential stability of UDLTV systems, and the maximum exponential decay rate of system trajectories can be computed by the radius of convergence of the IGFS . Moreover, the application of convex optimization technique and dynamic programming method provides an effective algorithm for the computation of the IGFS . Finally, the numerical example illustrates the efficacy and advantage of the proposed approach.