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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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Chaos and Pseudo-Randomness
We discuss the effect on finite machine implementation of chaotic system on randomness. We show that the most significant bit even for fully...
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Application of Bifurcation Analysis to Power Systems
Electric power systems are physically some of the largest and most complex nonlinear systems in the world. Bifurcations are rather mundane phenomena...
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Stability of Nonlinear Hybrid Systems
This work is devoted to stability of nonlinear hybrid systems (or nonlinear systems with regime switching). The switching regime is described by a...
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Gyroscopic Forces and Collision Avoidance with Convex Obstacles
This paper introduces gyroscopic forces as an tool that can be used in addition to the use of potential forces in the study of collision and convex...
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Minimax Nonlinear Control under Stochastic Uncertainty Constraints
We consider in this paper a class of stochastic nonlinear systems in strict feedback form, where in addition to the standard Wiener process there is...
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Distance to Bifurcation in Multidimensional Parameter Space: Margin Sensitivity and Closest Bifurcations
The problem of operating or designing a system with robust stability with respect to many parameters can be viewed as a geometric problem in...
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Feedback Control of a Nonlinear Dual–Oscillator Heartbeat Model
We describe a feedback control method for stabilizing some pathological behaviors of a nonlinear heartbeat model, with and without additive random...
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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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The Uncertain Generalized Moment Problem with Complexity Constraint
This paper is dedicated to Arthur Krener – a great researcher, a great teacher and a great friend – on the occasion of his 60th birthday. In this...
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Symmetries and Minimal Flat Outputs of Nonlinear Control Systems
Consider a nonlinear control system of the form $\Pi : \dot{x}=F(x,u)$ ,...
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On Absolute Stability of Convergence for Nonlinear Neural Network Models
This paper deals with a class of large-scale nonlinear dynamical systems, namely the additive neural networks. It is well known that convergence of...
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A Novel Design Approach to Flatness-Based Feedback Boundary Control of Nonlinear Reaction-Diffusion Systems with Distributed Parameters
Differential flatness has proven to be a very powerful approach for analysis and design of open-loop and stabilizing feedback tracking control for...