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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...
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Local Robustness of Bifurcation Stabilization with Applications to Jet Engine Control
Local robustness of bifurcation stabilization is studied for parameterized nonlinear systems of which the linearized system possesses either a simple...
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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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Formation Mechanisms and Control Methods of Beam Halo-Chaos in High-Current Ion Linacs
This chapter introduces some potential applications of ion beam in high-current ion linacs, and discusses two key issues in such applications...
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Simulating a Motorcycle Driver
Controlling a riderless bicycle or motorcycle is a challenging problem because the dynamics are nonlinear and non-minimum phase. Further difficulties...
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On the Steady-State Behavior of Forced Nonlinear Systems
The purpose of this paper is to discuss certain aspects of the asymptotic behavior of finite-dimensional nonlinear dynamical systems modeled by...
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Modeling Hybrid Positive Systems with Hybrid Petri Nets
In this paper the possibility of modeling positive systems by means of Hybrid Petri Nets (HPN) is discussed. Hybrid (or Fluid) Petri Nets are Petri...
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Note on Structural Properties and Sizes of Eigenspaces of Min-max Functions
In this paper, we study relationships among structural properties of min-max functions and complexity on deciding the sizes of the eigenspaces of...