Title: Stability and Robust Regulation of Passive Linear Systems,
Abstract: We study the stability of coupled impedance passive regular linear systems
under power-preserving interconnections. We present new conditions for strong,
exponential, and non-uniform stability of the closed-loop system. We apply the
stability results to the construction of passive error feedback controllers for
robust output tracking and disturbance rejection for strongly stabilizable
passive systems. In the case of nonsmooth reference and disturbance signals we
present conditions for non-uniform rational and logarithmic rates of
convergence of the output. The results are illustrated with examples on
designing controllers for linear wave and heat equations, and on studying the
stability of a system of coupled partial differential equations.