This volume contains the proceedings of the "Third Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA09)" held in Valencia, Spain, September 2–4, 2009. This is the only world congress whose main topic is focused on this field.
Plenary Talks.- Reputation Systems and Nonnegativity.- Lyapunov Exponents and Uniform Weak Normally Repelling Invariant Sets.- Reachability Analysis for Different Classes of Positive Systems.- Invited Sessions.- On the Positive LQ-Problem for Linear Discrete Time Systems.- The Importance of Being Positive: Admissible Dynamics for Positive Systems.- Detectability, Observability, and Asymptotic Reconstructability of Positive Systems.- Stability Radii of Interconnected Positive Systems with Uncertain Couplings.- Linear Operators Preserving the Set of Positive (Nonnegative) Polynomials.- Convergence to Consensus by General Averaging.- Stability and D-stability for Switched Positive Systems.- On Positivity and Stability of Linear Volterra-Stieltjes Differential Systems.- Eigenvalue Localization for Totally Positive Matrices.- Positivity Preserving Model Reduction.- The Minimum Energy Problem for Positive Discrete-Time Linear Systems with Fixed Final State.- A Rollout Algorithm for Multichain Markov Decision Processes with Average Cost.- Analysis of Degenerate Chemical Reaction Networks.- k-Switching Reachability Sets of Continuous-Time Positive Switched Systems.- Contributed Papers.- Inverse-Positive Matrices with Checkerboard Pattern.- Some Remarks on Links between Positive Invariance, Monotonicity, Strong Lumpability and Coherency in Max-Plus Algebra.- Stability Analysis and Synthesis for Linear Positive Systems with Time-Varying Delays.- Linear Programming Approach for 2-D Stabilization and Positivity.- An Algorithmic Approach to Orders of Magnitude in a Biochemical System.- Structural Identifiability of Linear Singular Dynamic Systems.- On Positivity of Discrete-Time Singular Systems and the Realization Problem.- Multi-Point Iterative Methods for Systems of Nonlinear Equations.- Identifiability of Nonaccessible Nonlinear Systems.- Trajectory Tracking Control of a Timed Event Graph with Specifications Defined by a P-time Event Graph.- Tropical Scaling of Polynomial Matrices.- Scrutinizing Changes in the Water Demand Behavior.- Characterization of Matrices with Nonnegative Group-Projector.- Robust Design of Water Supply Systems through Evolutionary Optimization.- Applications of Linear Co-positive Lyapunov Functions for Switched Linear Positive Systems.- A Problem in Positive Systems Stability Arising in Topology Control.- Control of Uncertain (min,+)-Linear Systems.- On a Class of Stochastic Models of Cell Biology: Periodicity and Controllability.- Implementation of 2D Strongly Autonomous Behaviors by Full and Partial Interconnections.- Ordering of Matrices for Iterative Aggregation - Disaggregation Methods.- The Positive Servomechanism Problem under LQcR Control.
