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In this work, we analyze the stability properties of a recently proposed dynamical system that describes the evolution of the probability of infection in a network. We show that this model can be viewed as a concave game among the nodes. This characterization allows us to provide a simple condition, that can be checked in a distributed fashion, for stabilizing the origin. When the curing rates at...
In this paper, we present a framework for studying distributed averaging dynamics over general state spaces. We define several modes of ergodicity and consensus for such dynamics and show that, unlike for a finite dimensional space, these modes are not equivalent. Motivated by the role of the infinite flow property in ergodicity in finite dimensional spaces, we define the infinite flow property for...
Positive systems represent a class of systems whose state variables are nonnegative. This paper presents an ℒ1 adaptive controller for such systems. The control objective is to force the system output track a given nonnegative reference signal. In the analysis of the ℒ1 adaptive controller, we first show the positivity of the constructed reference system, and then demonstrate that the controlled system...
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