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» Stochastic Analysis of Dynamic Processes
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JCSS
2008
159views more  JCSS 2008»
15 years 12 days ago
Analysing distributed Internet worm attacks using continuous state-space approximation of process algebra models
Internet worms are classically described using SIR models and simulations, to capture the massive dynamics of the system. Here we are able to generate a differential equation-base...
Jeremy T. Bradley, Stephen T. Gilmore, Jane Hillst...
TSMC
2010
14 years 7 months ago
On Robust Stability of Stochastic Genetic Regulatory Networks With Time Delays: A Delay Fractioning Approach
Robust stability serves as an important regulation mechanism in system biology and synthetic biology. In this paper, the robust stability analysis problem is investigated for a cla...
Yao Wang, Zidong Wang, Jinling Liang
79
Voted
EPEW
2008
Springer
15 years 2 months ago
A Ticking Clock: Performance Analysis of a Circadian Rhythm with Stochastic Process Algebra
We apply performance analysis techniques to a biological modelling problem, that of capturing and reproducing the Circadian rhythm. A Circadian rhythm provides cells with a clock b...
Jeremy T. Bradley
105
Voted
ACSD
2008
IEEE
107views Hardware» more  ACSD 2008»
15 years 2 months ago
Discrete real-time and stochastic-time process algebra for performance analysis of distributed systems
We present a process algebra with conditionally distributed discrete-time delays and generally-distributed stochastic delays. The treatment allows for expansion laws for the paral...
Jasen Markovski, Erik P. de Vink
118
Voted
CDC
2010
IEEE
100views Control Systems» more  CDC 2010»
14 years 7 months ago
Impulsive systems triggered by superposed renewal processes
We consider impulsive systems with several reset maps triggered by independent renewal processes, i.e., the intervals between jumps associated with a given reset map are identicall...
Duarte Antunes, João Pedro Hespanha, Carlos...