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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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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...
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A Appendix: Introduction to Stochastic Differential Equations
In this appendix we bring some basic results concerning stochastic differential equations of the Ito type which systems with state-multiplicative...
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3 Continuous-time Systems: General Filtering
In this chapter we bring the solution of the continuous-time stationary filtering using a general-type filter [45], [41]. Recently, the solution of...
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10 Discrete-time Systems: Static Output-feedback
In this chapter we bring the solution of the discrete-time counterpart of Chapter 5 where we solve both the H2 and the H∞ static output-feedback...