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  1. 10 Discrete-time Systems: Static Output-feedback

    In this chapter we bring the solution of the discrete-time counterpart of Chapter 5 where we solve both the H2 and the H∞ static output-feedback...
    Eli Gershon, Uri Shaked, Isaac Yaesh in H∞-Control and Estimation of State-multiplicative Linear Systems
    Chapter

  2. 11 Systems with State-multiplicative Noise: Applications

    In order to demonstrate the application of the theory developed in Chapter 3, we consider the problem of altitude estimation with measurements from a...
    Eli Gershon, Uri Shaked, Isaac Yaesh in H∞-Control and Estimation of State-multiplicative Linear Systems
    Chapter

  3. A Appendix: Introduction to Stochastic Differential Equations

    In this appendix we bring some basic results concerning stochastic differential equations of the Ito type which systems with state-multiplicative...
    Eli Gershon, Uri Shaked, Isaac Yaesh in H∞-Control and Estimation of State-multiplicative Linear Systems
    Chapter

  4. 7 Discrete-time Systems: Control and Luenberger-type Filtering

    In this chapter we bring the discrete-time counterpart of Chapter 2 where we solve the state-feedback control and filtering problems with the aid of...
    Eli Gershon, Uri Shaked, Isaac Yaesh in H∞-Control and Estimation of State-multiplicative Linear Systems
    Chapter

  5. 3 Continuous-time Systems: General Filtering

    In this chapter we bring the solution of the continuous-time stationary filtering using a general-type filter [45], [41]. Recently, the solution of...
    Eli Gershon, Uri Shaked, Isaac Yaesh in H∞-Control and Estimation of State-multiplicative Linear Systems
    Chapter

  6. 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...
    Andreas Kremling, Katja Bettenbrock, ... Ernst Dieter Gilles in Positive Systems
    Conference paper

  7. Positive Linear Systems Reachability Criterion in Digraph Form

    Reachability criterion in digraph form for discrete-time positive linear systems in terms of the non-negative pair (A, B) is obtained. The criterion...
    Ventsi G. Rumchev in Positive Systems
    Conference paper

  8. 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...
    Jean-Yves Le Boudec, Patrick Thiran in Positive Systems
    Conference paper

  9. 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...
    Cristina Jordán, Juan R. Torregrosa in Positive Systems
    Conference paper

  10. 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...
    Lars Imsland, Bjarne A. Foss in Positive Systems
    Conference paper

  11. On Nonnegative Realizations

    Problems of nonnegative finite dimensional realizations of a nonnegative impulse response (or, equivalently, Markov sequence) or of a given rational...
    Karl-Heinz Förster, Béla Nagy in Positive Systems
    Conference paper

  12. 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...
    René David, Hassane Alla in Positive Systems
    Conference paper

  13. 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...
    Mohamed Laabissi, Mohamed E. Achhab, ... Denis Dochain in Positive Systems
    Conference paper

  14. 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...
    Stephen J. Kirkland in Positive Systems
    Conference paper

  15. 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...
    Snezhana P. Kostova in Positive Systems
    Conference paper

  16. 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...
    Rafael Bru, Carmen Coll, ... Elena Sánchez in Positive Systems
    Conference paper

  17. 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...
    Claudio Altafini in Positive Systems
    Conference paper

  18. 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...
    David G. Luenberger in Positive Systems
    Conference paper

  19. 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...
    Hidde de Jong in Positive Systems
    Conference paper

  20. 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...
    Ludovic Mailleret in Positive Systems
    Conference paper
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