Abstract
This paper considers the problem of decentralized quadratic stabilization for a linear interconnected descriptor system with norm bounded uncertainties. First, a sufficient condition for the closed-loop system to have a unique solution and no impulsive modes is discussed. Secondly, a sufficient condition under which the interconnected system is quadratically stabilizable via decentralized linear semi-state feedback is derived. The stabilizability condition is described in terms of the Riccati inequalities on the subsystem level and the M-matrix constraint of a matrix consisting of upper bounds of the strength of interconnections among subsystems. The obtained result is an extension of one for a linear interconnected system described by the state equation.
