Partial stability for nonlinear model predictive control

While the theory of stability for nonlinear model predictive control (NMPC) has been under extensive study, partial stability is apparently overlooked. In this paper we apply the concept of partial stability in order to extend several results for the stability analysis of NMPC and investigate the behavior of NMPC for dynamic systems with uncertain parameters. Partial stability for NMPC is established without using terminal costs and terminal constraints. Numerical examples are provided to illustrate the obtained results.