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1. Parameter Identifiability of Nonlinear Biological Systems

   Parameters characterizing the internal behaviour of biological and physiological systems are usually not directly accessible to measurement. Their...

   Mariapia Saccomani, Stefania Audoly, ... Leontina D’Angiò in Positive Systems

   Conference paper
   

2. Qualitative Analysis of Regulatory Graphs: A Computational Tool Based on a Discrete Formal Framework

   Building upon the logical approach developed by the group of R. Thomas in Brussels, we are defining a rigorous mathematical framework to model...

   Claudine Chaouiya, Elisabeth Remy, ... Denis Thieffry in Positive Systems

   Conference paper
   

3. Differential Systems with Positive Variables

   The variables of biological, ecological, or chemical systems are often positive, because they measure concentrations, numbers, ...We study polynomial...

   Jean-Luc Gouzé in Positive Systems

   Conference paper
   

4. Completion Problems for Positive Matrices with Minimal Rank

   Matrix completion problems studies the partial matrices, that is, a rectangular matrix some of whose entries are specified, and the remainder entries...

   Rafael Cantó, Ana M. Urbano in Positive Systems

   Conference paper
   

5. Linear Positive Systems and Phase-type Representations

   In this paper we try to put a bridge between the theory of phase-type distributions and the general theory of positive linear systems. The phase-type...

   Christian Commault in Positive Systems

   Conference paper
   

6. Estimation and Strong Approximation of Hidden Markov Models

   We give novel conditions for the existence of the limit of the normalized log-likelihood function for a finite-state continuous read-out Hidden...

   László Gerencsér, Gábor Molnár-Sáska in Positive Systems

   Conference paper
   

7. Modal Logic and Dioids

   This paper presents results concerning the relations between a propositional modal logic (NK-logic) and the algebra of dioids. The technique of...

   Christiano P. Pessanha, Rafael Santos-Mendes in Positive Systems

   Conference paper
   

8. Rational Positive Systems for Reaction Networks

   The purpose of the lecture associated with this paper is to present problems, concepts, and theorems of control and system theory for a subclass of...

   Jan H. van Schuppen in Positive Systems

   Conference paper
   

9. Guaranteed Parameter Estimation for Cooperative Models

   The parameters of cooperative models are estimated in a boundederror context, i.e., all uncertain quantities are assumed to be bounded, with known...

   Michel Kieffer, Eric Walter in Positive Systems

   Conference paper
   

10. Stability of Linear Systems and Positive Semigroups of Symmetric Matrices

    The role of Lyapunov operators in stability theory is well-known. In this paper we present an interesting characterization of Lyapunov operators. We...

    Tobias Damm in Positive Systems

    Conference paper
    

11. 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
    

12. 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
    

13. 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
    

14. 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
    

15. 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
    

16. 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
    

17. 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
    

18. 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
    

19. 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
    

20. 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