Abstract

This paper considers the problem of quadratic stabilizability for a class of interconnected descriptor systems such that each subsystem is represented in the descriptor form and parametric uncertainties lie in all system matrices of the subsystems and also in interaction gains among subsystems. Quadratic stability requires here that the interconnected descriptor system has neither unstable finite modes nor impulsive modes. This paper presents a sufficient condition under which the interconnected descriptor system is quadratically stabilizable via decentralized static feedback. The condition is given in terms of matrix inequalities on the subsystem level and an M-matrix constraint for the matrix consisting of the upper bounds of the interaction gains.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.