Positive Systems

Proceedings of the First Multidisciplinary International Symposium on Positive Systems, Theory and Applications (POSTA 2003), Rome, Italy, August 28-30, 2003

By: Luca Benvenuti (Editor), Alberto de Santis (Editor), Lorenzo Farina (Editor)

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Paperback | 1 September 2003

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The proceedings of the First Multidisciplinary International Symposium on Positive Systems Theory and Applications (POSTA 2003) held in Rome, Italy, August 28-30, 2003. Positive Systems are systems in which the relevant variables assume nonnegative values. These systems are quite common in applications where variables represent positive quantities such as populations, goods, money, time, data packets flowing in a network, densities of chemical species, probabilities, etc. The aim of the symposium was to join together researchers working in the different areas related to positive systems such as telecommunications, economy, biomedicine, chemistry and physics in order to provide a multidisciplinary forum where they have the opportunity to exchange ideas and compare results in a unifying framework.

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Positive Random Systems with Application to Investment	p. 1
Rational Positive Systems for Reaction Networks	p. 3
Min-plus and Max-plus System Theory Applied to Communication Networks	p. 7
Reachability and Invariance Problems in Max-plus Algebra	p. 15
Modelling of Urban Bus Networks in Dioids Algebra	p. 23
Modal Logic and Dioids	p. 31
Monotone Linear Dynamical Systems over Dioids	p. 39
Optimal Control for (max,+)-linear Systems in the Presence of Disturbances	p. 47
Unforced Continuous Petri Nets and Positive Systems	p. 55
Reachability Graph for Autonomous Continuous Petri Nets	p. 63
Modeling Hybrid Positive Systems with Hybrid Petri Nets	p. 71
Simulation and Control of a Bottling Plant using First-order Hybrid Petri Nets	p. 79
Parameter Identifiability of Nonlinear Biological Systems	p. 87
Towards Whole Cell "in Silico" Models for Cellular Systems: Model Set-up and Model Validation	p. 95
Guaranteed Parameter Estimation for Cooperative Models	p. 103
Modeling and Simulation of Genetic Regulatory Networks	p. 111
Qualitative Analysis of Regulatory Graphs: A Computational Tool Based on a Discrete Formal Framework	p. 119
A Reconstruction Algorithm for Gene Regulatory Sparse Networks using Positive Systems	p. 127
The Basic Reproduction Number in a Multi-city Compartmental Epidemic Model	p. 135
Stability Analysis of a Metabolic Model with Sequential Feedback Inhibition	p. 143
Differential Systems with Positive Variables	p. 151
Positivity and Invariance Properties of Nonisothermal Tubular Reactor Nonlinear Models	p. 159
A Feedback Perspective for Chemostat Models with Crowding Effects	p. 167
Positive Control for a Class of Nonlinear Positive Systems	p. 175
Competitive and Cooperative Systems: A Mini-review	p. 183
Small-gain Theorems for Predator-prey Systems	p. 191
Positive Particle Interaction	p. 199
Stability of Linear Systems and Positive Semigroups of Symmetric Matrices	p. 207
Digraph-based Conditioning for Markov Chains	p. 215
Paths and Cycles in the Totally Positive Completion Problem	p. 217
Completion Problems for Positive Matrices with Minimal Rank	p. 225
Some Problems about Structural Properties of Positive Descriptor Systems	p. 233
Positive Linear Systems Reachability Criterion in Digraph Form	p. 241
A Characterization of Reachable Positive Periodic Descriptor Systems	p. 249
A PLDS Model of Pollution in Connected Water Reservoirs	p. 257
Positivity for Matrix Systems: A Case Study from Quantum Mechanics	p. 265
A Simple Food Chain Model with Delay	p. 273
Linear Positive Systems and Phase-type Representations	p. 281
Blending Positive Matrix Pencils with Economic Models	p. 289
On the Positive Reachability of 2D Positive Systems	p. 297
On Nonnegative Realizations	p. 305
Estimation and Strong Approximation of Hidden Markov Models	p. 313
A Paradigm for Derivatives of Positive Systems	p. 321
Nonlinear Positive 2D Systems and Optimal Control	p. 329
State Feedback Set Stabilization for a Class of Nonlinear Systems	p. 337
Some Recent Developments in Positive 2D Systems	p. 345
Nonnegative Infinite Hankel Matrices having a Finite Rank	p. 353
The Character of an Idempotent-analytic Nonlinear Small Gain Theorem	p. 361
Positive Systems with Nondecreasing Controls, Existence and Well-posedness	p. 369
Reachability and Controllability of Positive Linear Discrete-time Systems with Time-delays	p. 377
Countercurrent Double-pipe Heat Exchangers are a Special Type of Positive Systems	p. 385
Note on Structural Properties and Sizes of Eigenspaces of Min-max Functions	p. 393
Author Index	p. 401
Table of Contents provided by Blackwell. All Rights Reserved.

Positive Systems

Proceedings of the First Multidisciplinary International Symposium on Positive Systems, Theory and Applications (POSTA 2003), Rome, Italy, August 28-30, 2003

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