Componentwise bounds and invariant sets for discrete-time switched linear systems with nonlinear-state-dependent perturbations

HERNAN HAIMOVICH; MARÍA M. SERON

Conferencia; XIV Reunión de trabajo en procesamiento de la información y control; 2011

We present a novel method to compute componentwise ultimate bounds and invariant regions for switched discrete-time lin- ear systems with perturbation bounds that may depend nonlinearly on a delayed state. The main advantage of the method is its componen- twise nature, i.e. the fact that it allows each component of the perturbation vector to have an independent bound and that the bounds and sets obtained are also given componentwise. This componentwise method does not employ a norm for bounding either the perturbation or state vectors, and thus may avoid conserva- tiveness due to dierent perturbation or state vector components having substantially differ- ent bounds.