In this paper, the invertibility of an interconnected system that consists two dynamic subsystems was studied. It can be viewed as distinguishability impacts local input on final global output, is to say, whether at level recovered uniquely under a given output and initial state. The constitutes connected in cascade manner. order guarantee studied system, necessary sufficient condition establis...

Extreme climate-driven events such as hurricanes, floods, and wildfires are becoming more intense in areas exposed to these threats, requiring approaches improve the resilience of electrical infrastructure serving communities. Long-duration outages caused by high impact propagate economic, health, social consequences for As essential service providers, electric utilities mandated provide safe, ...

By using the concepts of dynamic graphs and dynamic adjacency matrix, a modeling method of a complex dynamic interconnected system is considered in this paper. Three types of fundamental topology structures of the system are described according to the multi-overlapping information structure constraints. Based on the inclusion principle and permutation transformation, the system is decomposed as...

In this paper, a novel technique of parametrization of supply rates is developed for establishing Input-to-State Stability(ISS) and dissipative properties of nonlinear interconnected systems. In the application of the ISS small-gain theorem, selecting supply rates to establish stability properties is not a straightforward task. This paper proposes useful tools for selecting supply rates by allo...