Stability and stabilizability of a class of systems with state saturation and parameter uncertainties

For linear systems with parameter uncertainties and subject to state saturation, we establish results concerning two important issues: (a) global asymptotic stability of an equilibrium, and (b) stabilizability by means of linear state feedback. Systems of the type considered herein capture two important phenomena commonly encountered in the modeling process: (i) system parameter uncertainties (which in the present case are modeled by means of interval matrices), and (ii) operation of systems over a wide range (which in the present case is accounted for by state saturation nonlinearities).