Chapter 7

Stability and Robust Stability of a Large-Scale NCS

Abstract

Stability and robust stability are essential for a system to work properly. In this chapter, we investigate verifications of these two important properties of a large-scale system. We mainly focus on computational complexity of a verification criterion. As in the previous chapters, the large-scale system under investigation is permitted to have subsystems with completely different dynamics and fixed but arbitrary subsystem connections. We derive some necessary and sufficient conditions that explicitly depend on the subsystem connection matrix. In addition, we also obtain conditions that essentially depend separately on parameter matrices of each individual subsystem ...

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