This paper considers the integral-input-to-state stabilization of a class of switched nonlinear systems, which consist of integral-input-to-state stable (IISS) subsystems and subsystems whose continuous states may eventually be unbounded even if integrals of the corresponding inputs are small. In general, a switched controller has two parts: local controllers for subsystems and their switching ...

We consider the automatic determination of application-specific memory subsystems via superoptimization, with the goals of reducing memory access time and of minimizing writes. The latter goal is of concern for memories with limited write endurance. Our subsystems outperform general-purpose memory subsystems in terms of performance, number of writes, or both.

We use Beck’s quasi-additivity of Tsallis entropies for n independent subsystems to show that like the case of n = 2, the entropic index q approaches 1 by increasing system size. Then, we will generalize that concept to correlated subsystems to find that in the case of correlated subsystems, when system size increases, q also approaches a value corresponding to the additive case.

We propose a precise definition of a continuous time dynamical system made up of interacting open subsystems. The interconnections of subsystems are coded by directed graphs. We prove that the appropriate maps of graphs called graph fibrations give rise to maps of dynamical systems. Consequently surjective graph fibrations give rise to invariant subsystems and injective graph fibrations give ri...

In this paper, we study networks of discrete-time linear time-invariant subsystems. Our focus is on situations where subsystems are connected to each other through a time-invariant topology and where there exists a base-station whose aim is to control the subsystems into any desired destinations. However, the base-station can only communicate with some of the subsystems that we refer to as lead...