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  1. A Characterization of Reachable Positive Periodic Descriptor Systems

    Periodic descriptor system with nonnegative restrictions and its associated invariant cyclically augmented system (ICAS) are analyzed. The weakly...
    Begoña Cantó, Carmen Coll, Elena Sánchez in Positive Systems
    Conference paper

  2. On the Positive Reachability of 2D Positive Systems

    Local reachability of two-dimensional (2D) positive systems, by means of positive scalar inputs, is addressed by means of a graph theoretic approach....
    Ettore Fornasini, Maria Elena Valcher in Positive Systems
    Conference paper

  3. The Character of an Idempotent-analytic Nonlinear Small Gain Theorem

    In this paper a general nonlinear input-to-state stability small gain theory is described using idempotent analytic techniques. The theorem is proved...
    Henry G. Potrykus, Frank Allgöwer, S. Joe Qin in Positive Systems
    Conference paper

  4. Positive Systems with Nondecreasing Controls. Existence and Well-posedness

    In the paper we consider a linear system with nondecreasing controls and a convex cost functional. Basing it on classical methods and the theory of...
    Stanisław Walczak, Dariusz Idczak in Positive Systems
    Conference paper

  5. 6 Stochastic Passivity

    Passivity of deterministic linear systems plays an important role in network theory and in adaptive control. The fact that a system is passive...
    Eli Gershon, Uri Shaked, Isaac Yaesh in H∞-Control and Estimation of State-multiplicative Linear Systems
    Chapter

  6. 4 Continuous-time Systems: Tracking Control

    In this chapter we treat the problem of H∞ tracking with stochastic multiplicative white noise. We extend the work of [98], which does not involve...
    Eli Gershon, Uri Shaked, Isaac Yaesh in H∞-Control and Estimation of State-multiplicative Linear Systems
    Chapter

  7. C Appendix: The Discrete DLMI Method

    We consider the following system: $$ x_{k+1}=A_kx_k + B_k w_k, \quad k=0,1,...
    Eli Gershon, Uri Shaked, Isaac Yaesh in H∞-Control and Estimation of State-multiplicative Linear Systems
    Chapter

  8. Modeling Hybrid Positive Systems with Hybrid Petri Nets

    In this paper the possibility of modeling positive systems by means of Hybrid Petri Nets (HPN) is discussed. Hybrid (or Fluid) Petri Nets are Petri...
    Marco Gribaudo, András Horváth in Positive Systems
    Conference paper

  9. Note on Structural Properties and Sizes of Eigenspaces of Min-max Functions

    In this paper, we study relationships among structural properties of min-max functions and complexity on deciding the sizes of the eigenspaces of...
    Qianchuan Zhao, Da-Zhong Zheng in Positive Systems
    Conference paper

  10. Countercurrent Double-pipe Heat Exchangers are a Special Type of Positive Systems

    Countercurrent liquid-liquid double-pipe heat exchangers prove to be a special type of positive systems: namely, they are compartmental and...
    Arturo Zavala-Río, Ricardo Femat, Ricardo Romero-Méndez in Positive Systems
    Conference paper

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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
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