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Given a bounded open subset Ω of R d and two positive weight functions f and g, the Cheeger sets of Ω are the subdomains C of finite perimeter of Ω that maximize the ratio C f (x) dx ∂ * C g(x) dH d−1. Existence of Cheeger sets is a well-known fact. Uniqueness is a more delicate issue and is not true in general (although it holds when Ω is convex and f ≡ g(More)
Based on recent advances in control theory, we propose the notion of jitter margin for periodic control tasks. The jitter margin is defined as a function of the amount of constant delay in the control loop, and it describes how much additional time-varying delay can be tolerated before the loop goes unstable. Combined with scheduling theory, the jitter(More)
The term " control theory " refers to the body of results-theoretical, numerical and algorithmic-which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. Features 7 Self-contained: the book can be used by(More)
  • G. Buttazzo
  • 1991
Presents a hierarchical computer architecture specifically designed for controlling a multisensory robot system. In a flexible and modular fashion. The approach used for the implementation of the system is botton-up, in the sense that high level processes are developed from elementary sensory-motor activities, carried out at lower levels of a hierarchical(More)
Given the probability measure ν over the given region Ω ⊂ R n , we consider the optimal location of a set Σ composed by n points Ω in order to minimize the average distance Σ → R Ω dist (x, Σ) dν (the classical optimal facility location problem). The paper compares two strategies to find optimal configurations: the long-term one which consists in placing(More)
This report describes the work carried out within the research project " Merging Real-Time and Control Theory for Improving the Performance of Embedded Control Systems " during the spring of 2004. The overall objective of the work has been to develop integrated control and scheduling methods for improving the performance of real-time control systems with(More)
This special track is focused on tele-rehabilitation systems, based on state of the art motion tracking technology, implementing clinically innovative protocols, suitable for large scale application in daily practice of physical therapy and training. These systems can be used to deliver rehabilitation services via information and communication technologies(More)