Stability and Regret Bounds on Distributed Truncated Predictive Control for Networked Dynamical Systems

This work is primarily concerned about the distributed control of networked linear time-invariant (LTI) systems with time-varying well-conditioned costs. In particular, we propose a truncated predictive control algorithm based on
$\kappa-\mathbf{hop}$
neighbourhoods of the agents in the network. We establish stability and regret bounds for the proposed algorithm, showing that the regret decays exponentially when the temporal prediction horizon
$k$
and spatial radius
$\kappa$
increase.