Positive Systems

Positive Systems are dynamic systems in which the relevant variables assume nonnegative values. These systems are quite common in applications where variables represent positive quantities such as populations, consumption of goods, densities of chemical species, probabilities etc. The development of theoretical models which take into account this positivity requirement has been a very active field of research for a long time.

This volume contains the contributions for The Second Multidisciplinary Symposium on Positive Systems:Theory and Applications (POSTA06) held in Grenoble, France, August 30-31 and September 1, 2006. Theses contributions cover several theoretical issues (stability, control properties, ...) concerning the models of positive systems as well as many application papers in the fields of biology, communication systems, etc.

This volume contains the contributions for The Second Multidisciplinary Symposium on Positive Systems:Theory and Applications (POSTA06) held in Grenoble, France, August 30-31 and September 1, 2006.

Texte du rabat

This volume contains papers contributed to The Second Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA06) held in Grenoble, France, August 30-31 and September 1, 2006. The contributions cover several theoretical issues (stability, control properties ...) concerning the models of positive systems as well as many application papers in the fields of biology, communication systems, etc.

Contenu
Plenary Talks.- Nonnegative Matrices Old Problems, New Applications.- The Positive Realization Problem: Past and Future Challenges.- A Tour of Systems with the Max-Plus Flavor.- Invited Session Positive Discrete-Time Systems (Part I).- Nonnegativity of Control Singular Systems via State-Feedbacks.- Bidiagonal Factorization of Totally Nonnegative Rectangular Matrices.- On Positive Realizations of Irreducible Transfer Matrices.- Positive Switching Systems.- Invited Session Positive Discrete-Time Systems (Part II).- Positive Normalizable Singular System.- Positive Solutions of a Discrete-Time System and the Leontief Price-Model.- Additional Results on the Reachability Index of Positive 2-D Systems.- Positive Equilibrium Points of Positive Discrete-Time Systems.- Invited Session Positive Modeling and Control of Biological Systems.- Optimal Release Policy for Prophylactic Biological Control.- Feedback-Mediated Oscillatory Coexistence in the Chemostat.- Trajectory Parametrisation for a Positive System: The Biological Clock Example.- Stability Analysis of an Ecological Model.- Invited Session Parameter Estimation of Biological and Physiological Systems.- Multicompartmental Modeling of a Complex Physiological System: Special Emphasis on the Steps of a priori Identifiability and Parameter Estimation.- Global Identifiability as a Prerequisite for Model Parameterisation The Case of Soil Carbon Model Yasso.- Guaranteed Optimization of the Parameters of Continuous-Time Knowledge-Based Models.- Modeling the Human Cardiovascular Control Response to Blood Volume Loss Due to Hemorrhage.- Invited Session Markov Chains.- Positive Invariance of Polyhedrons and Comparison of Markov Reward Models with Different State Spaces.- Deflection Routing on a Torus Is Monotone.- ConvergenceTimes for Parallel Markov Chains.- Class C Markov Chains and Transient Analysis.- Invited Session Communication Problems (Part I).- An Algebraic Approach to the Structural Properties of Continuous Time Positive Switched Systems.- Nonlinear AIMD Congestion Control and Contraction Mappings.- Maximal Nonnegative Perturbation of a Nonnegative Matrix.- Convergence of Products of Stochastic Matrices with Positive Diagonals and the Opinion Dynamics Background.- Invited Session Communication Problems (Part II).- Convergence of the Multidimensional Agreement Algorithm when Communication Fades Away.- On Parrondo's Games as Generalized by Behrends.- Social Leaders in Graphs.- The T-PageRank: A Model of Self-Validating Effects of Web Surfing.- Condensing.- Contributed Papers.- A Nonuniform Semi-implicit Numerical Method for Computing Unsteady Chemical Transport Flow in Tapered Ducts.- Positive or Negative Regulatory Circuit Inference from Multilevel Dynamics.- State-Constrained Optimal Control Applied to Cell-Cycle-Specific Cancer Chemotherapy.- Bifurcation Analysis of a Biochemical Network.- On Controllability of Nonlinear Systems Described by Ordinary Differential Equations.- On the Positive LQ-Problem for Linear Continuous-Time Systems.- Further Results on Global Stabilization of the PVTOL Aircraft.- Global Optimization Problems in Stability Analysis of Linear Dynamical Systems.- Singular Perturbation Analysis of an Additive Increase Multiplicative Decrease Control Algorithm Under Time-Varying Buffering Delays.- Minimal Positive Realizations of Third-Order Systems with Complex Poles.- Positive Decomposition of Transfer Functions with Multiple Poles.- On the Existence of Positive Linear Observers for Positive Linear Systems.- Compartmental Modeling and Adaptive Control ofStochastic Nonnegative Systems.- Accelerated Leap Methods for Simulating Discrete Stochastic Chemical Kinetics.- Recursive Filtering Using Quasi-Realizations.- Max-Plus: A Network Algebra.- Optimal Control of Timed Continuous Petri Nets via Explicit MPC.- A Precompensator Synthesis for P-Temporal Event Graphs.- Nonlinear Perron-Frobenius Theory and Dynamics of Cone Maps.- Invariance and Monotonicity of Nonlinear Iterated Systems.- Almost Global Convergence in Singular Perturbations of Strongly Monotone Systems.- Robust Absolute Stability Using Polynomial Positivity and Sign Decomposition.- System Reduction of Nonlinear Positive Systems by Linearization and Truncation.- Stable Periodic Orbits Associated with Bursting Oscillations in Population Dynamics.