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CDC
2010
IEEE
145views Control Systems» more  CDC 2010»
12 years 12 months ago
Construction of Lyapunov functions for piecewise-deterministic Markov processes
The purpose of this contribution is twofold: 1) to present for the first time a Lyapunov function that proves exponential ergodicity of a process studied by the authors in [1], whe...
Alexandre R. Mesquita, João Pedro Hespanha
HYBRID
2004
Springer
13 years 10 months ago
Stochastic Hybrid Systems: Application to Communication Networks
We propose a model for Stochastic Hybrid Systems (SHSs) where transitions between discrete modes are triggered by stochastic events much like transitions between states of a contin...
João P. Hespanha
SIGMETRICS
2010
ACM
203views Hardware» more  SIGMETRICS 2010»
13 years 5 months ago
An analytical framework to infer multihop path reliability in MANETs
Abstract Due to complexity and intractability reasons, most of the analytical studies on the reliability of communication paths in mobile ad hoc networks are based on the assumptio...
Nelson Antunes, Gonçalo Jacinto, Antó...
CDC
2008
IEEE
151views Control Systems» more  CDC 2008»
13 years 11 months ago
Analysis of hybrid systems resulting from relay-type hysteresis and saturation: A Lyapunov approach
— This paper studies a class of hybrid systems with linear (or linear plus saturated linear) continuous and discrete dynamics, which are determined by a flow map and jump map, a...
Dan Dai, Ricardo G. Sanfelice, Tingshu Hu, Andrew ...
JAMDS
2000
61views more  JAMDS 2000»
13 years 4 months ago
A coupling technique for stochastic comparison of functions of Markov Processes
The aim of this work is to obtain explicit conditions (i.e., conditions on the transition rates) for the stochastic comparison of Markov Processes. A general coupling technique is ...
M. Doisy