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We model some lossless queuing systems arising in guaranteed service networks as non-linear min-plus systems that can be bounded by linear systems. We introduce the distinction between space and time methods for such systems. Space methods are related to m ...
We model some lossless queuing systems arising in guaranteed service networks as non-linear min-plus systems that can be bounded by linear systems. We propose a methodology and apply it to the window flow control problem previously studied by Cruz and Okin ...
We analyze some queueing problems arising in guaranteed service and controlled load networks using min-plus algebra. We find an explicit representation for the sub-additive closure of the minimum of two operators, and we introduce a new, useful family of i ...
Discrete-time linear periodic SISO systems having uniform relative degree are considered. A closed-form expression of the blocking input is derived and exploited to obtain a computationally advantageous characterisation of the structural zeros. Indeed, it ...
This work is dedicated to the study of Dynamical Systems, depending on a slowly varying parameter. It contains, in particular, a detailed analysis of memory effects, such as hysteresis, which frequently appear in systems involving several time scales. In a ...
We analyze some queueing problems arising in guaranteed service and controlled load networks using min-plus algebra. We find an explicit representation for the sub-additive closure of the minimum of two operators, and we introduce a new, useful family of i ...
