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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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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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A PLDS Model of Pollution in Connected Water Reservoirs
In this paper a PLDS (positive linear discrete time system) model of pollution in connected water reservoirs is described. At the beginning, 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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Positivity for Matrix Systems: A Case Study from Quantum Mechanics
We discuss an example from quantum physics of “positive system” in which the state (a density operator) is a square matrix constrained to be positive...
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Applying Ergodic Theory to Improve the Noise Performance of DiBerential Chaos Shift Keying
This chapter provides an overview of the state of the art of current chaos communication schemes and introduces the use of signal processing to...
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Generating Chaos in Continuous-Time Systems via Feedback Control
This chapter studies the anticontrol problem of making a continuous-time system chaotic by using feedback control. A time-delay feedback approach to...
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Chaotification via Feedback: The Discrete Case
This chapter introduces the notion of chaotification (or, anticontrol of chaos), which means to make an originally non-chaotic dynamical system...
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Bifurcations and Chaos in Turbo Decoding Algorithms
The turbo decoding algorithm is a high-dimensional dynamical system parameterized by a large number of parameters (for a practical realization the...
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Analysis and Control of Limit Cycle Bifurcations
The chapter addresses bifurcations of limit cycles for a general class of nonlinear control systems depending on parameters. A set of simple...
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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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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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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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Reachability and Invariance Problems in Max-plus Algebra
We present a synthesis of recent results concerning reachability and invariance problems for max-plus linear dynamical systems. Semigroup membership...
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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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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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Chaotic Systems Synchronization
In this chapter a systematic overview is given of methods for chaotic systems synchronization in the case of Lur’e systems. For autonomous schemes...