Constructing the Global Convergent Set for Linear Discrete-Time Systems in Parameter Variation Space with Applications to Nonlinear Dynamic Systems

摘要

An algorithm for connecting two convergent (stable) conditions of one discrete-time linear system (two convergent matrices) is established in the “Parameter Variation Space” (PVS); in order to generate the most-extended, global set of such points in this space that their corresponding perturbed matrices will remain convergent. This constructional procedure advances a sought-after solution for an old classical control problem that has numerous applications in perturbational analyses of a linear, as well as a nonlinear corresponding dynamic system.