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Evolution of the Internet Topology and Traffic Dynamics of Data Packets
In recent years, the Internet has become one of the most influential media in our daily life, going beyond in its role as the basic infrastructure in...
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4 Continuous-time Systems: Tracking Control
In this chapter we treat the problem of H∞ tracking with stochastic multiplicative white noise. We extend the work of [98], which does not involve...
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Synchronization in Complex Networks
The study of complex systems pervades all of science, from cell biology to ecology, from computer science to meteorology. A paradigm of a complex...
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Data Traffic, Topology and Congestion
We consider the interaction between the topology of a network and the tra.c carried along its channels. The binding elements between the topology and...
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6 Stochastic Passivity
Passivity of deterministic linear systems plays an important role in network theory and in adaptive control. The fact that a system is passive...
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C Appendix: The Discrete DLMI Method
We consider the following system: $$ x_{k+1}=A_kx_k + B_k w_k, \quad k=0,1,...
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Rational Positive Systems for Reaction Networks
The purpose of the lecture associated with this paper is to present problems, concepts, and theorems of control and system theory for a subclass of...
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Completion Problems for Positive Matrices with Minimal Rank
Matrix completion problems studies the partial matrices, that is, a rectangular matrix some of whose entries are specified, and the remainder entries...
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Stability of Linear Systems and Positive Semigroups of Symmetric Matrices
The role of Lyapunov operators in stability theory is well-known. In this paper we present an interesting characterization of Lyapunov operators. We...
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Estimation and Strong Approximation of Hidden Markov Models
We give novel conditions for the existence of the limit of the normalized log-likelihood function for a finite-state continuous read-out Hidden...
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Parameter Identifiability of Nonlinear Biological Systems
Parameters characterizing the internal behaviour of biological and physiological systems are usually not directly accessible to measurement. Their...
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Qualitative Analysis of Regulatory Graphs: A Computational Tool Based on a Discrete Formal Framework
Building upon the logical approach developed by the group of R. Thomas in Brussels, we are defining a rigorous mathematical framework to model...
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Differential Systems with Positive Variables
The variables of biological, ecological, or chemical systems are often positive, because they measure concentrations, numbers, ...We study polynomial...
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A Characterization of Reachable Positive Periodic Descriptor Systems
Periodic descriptor system with nonnegative restrictions and its associated invariant cyclically augmented system (ICAS) are analyzed. The weakly...
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Linear Positive Systems and Phase-type Representations
In this paper we try to put a bridge between the theory of phase-type distributions and the general theory of positive linear systems. The phase-type...
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Modal Logic and Dioids
This paper presents results concerning the relations between a propositional modal logic (NK-logic) and the algebra of dioids. The technique of...
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Guaranteed Parameter Estimation for Cooperative Models
The parameters of cooperative models are estimated in a boundederror context, i.e., all uncertain quantities are assumed to be bounded, with known...
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On the Positive Reachability of 2D Positive Systems
Local reachability of two-dimensional (2D) positive systems, by means of positive scalar inputs, is addressed by means of a graph theoretic approach....
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The Character of an Idempotent-analytic Nonlinear Small Gain Theorem
In this paper a general nonlinear input-to-state stability small gain theory is described using idempotent analytic techniques. The theorem is proved...
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Positive Systems with Nondecreasing Controls. Existence and Well-posedness
In the paper we consider a linear system with nondecreasing controls and a convex cost functional. Basing it on classical methods and the theory of...