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Towards Whole Cell “in Silico” Models for Cellular Systems: Model Set-up and Model Validation
Based on recent developments for new measurement technologies that enable researches to get quantitative information on intracellular processes, the...
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Positive Control for a Class of Nonlinear Positive Systems
In this contribution, we focus on a class of nonlinear positive systems, arising especially in biological processes. These are SISO input-affine...
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Bifurcations of Control Systems: A View from Control Flows
The purpose of this paper is to discuss bifurcation problems for control systems viewing them as dynamical systems, i.e., as control flows. Here open...
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Reachability Graph for Autonomous Continuous Petri Nets
An autonomous continuous Petri net is a model in which the time is not involved, the marking is a vector or non-negative real numbers, and a...
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Positivity and Invariance Properties of Nonisothermal Tubular Reactor Nonlinear Models
The existence and uniqueness of the state trajectories (temperature and reactant concentration) and the existence and multiplicity of equilibrium...
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Min-plus and Max-plus System Theory Applied to Communication Networks
Network Calculus is a set of recent developments, which provide a deep insight into flow problems encountered in networking. It can be viewed as the...
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Some Problems about Structural Properties of Positive Descriptor Systems
The reachability and controllability of positive descriptor systems are analyzed. Without nonnegative restrictions on the system, the reachability...
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State Feedback Set Stabilization for a Class of Nonlinear Systems
A controller for a class of multiple input systems is proposed, with a subset of nonlinear positive systems as a special case. The controller is...
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On Nonnegative Realizations
Problems of nonnegative finite dimensional realizations of a nonnegative impulse response (or, equivalently, Markov sequence) or of a given rational...
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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...
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Unforced Continuous Petri Nets and Positive Systems
Petri nets (PNs) are a well-known family of formalisms whose definition immediately sets them, in a broad sense, as positive systems. Although they...
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Stabilization via Polynomial Lyapunov Function
In this paper we summarize some recent results on local state feedback stabilization of a nonlinear system via a center manifold approach. A...
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Positive Random Systems with Application to Investment
The theory of positive systems can be extended to random positive systems, along lines originally developed by Bellman and extended by Furstenberg...
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Modeling and Simulation of Genetic Regulatory Networks
The analysis of genetic regulatory networks will much benefit from the recent upscaling to the genomic level of experimental methods in molecular...
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Digraph-based Conditioning for Markov Chains
Let T be an irreducible stochastic matrix, so that we can consider T to be the transition matrix for a Markov chain; one of the central quantities of...
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Paths and Cycles in the Totally Positive Completion Problem
An n × n real matrix is said to be totally positive if every minor is nonnegative. In this paper, we are interested in totally positive completion...
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A Simple Food Chain Model with Delay
In this paper we consider a chemostat-like model for a simple food chain of microorganisms. This consists of a well stirred nutrient substance that...
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Nonnegative Infinite Hankel Matrices having a Finite Rank
A nonnegative infinite Hankel matrix is an infinite Hankel matrix which has nonnegative entries. The paper studies the relationship between rational...
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Observability Normal Forms
One of the first definitions and characterizations of nonlinear observability was given in the well known paper of R. Hermann and A.J. Krener [18],...
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Towards a Sampled-Data Theory for Nonlinear Model Predictive Control
This paper considers the stability, robustness and output feedback problem for sampled-data nonlinear model predictive control (NMPC). Sampled-data...