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Fuzzy Subsets and Fuzzy Subgroups
The pioneering work of Zadeh on fuzzy subsets of a set in [53] and Rosenfeld on fuzzy subgroups of a group in [43] led to the fuzzification of... -
Fuzzy Caley's Theorem and Fuzzy Lagrange's Theorem
We begin our discussion with properties of normal fuzzy subgroups. Fuzzy analogs of some group theoretic concepts such as cosets, characteristic... -
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... -
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... -
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... -
Observability Normal Forms
One of the first definitions and characterizations of nonlinear observability was given in the well known paper of R. Hermann and A.J. Krener [18],... -
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Fuzzy Subgroups of Abelian Groups
Some of the best examples of algebraic structure theory come from commutative group theory. Commutative group theory is also a principal reason for... -
Generalized Differentiation for Moving Objects
This work is devoted to the study of the analysis of moving sets/map**s in the form... -
Techniques for Nonsmooth Analysis on Smooth Manifolds I: Local Problems
Nonsmooth analysis, differential analysis for functions without differentiability, has witnessed a rapid growth in the past several decades... -
Stabilization by Patchy Feedbacks and Robustness Properties
This note is concerned with the problem of robust stabilization of control systems via discontinuous feedback laws. A particular class of... -
Bifurcation Control in Feedback Systems
In this chapter the mathematical tools from bifurcation theory are used within the framework of feedback control systems. The first part deals with a... -
Bifurcation Dynamics in Control Systems
This chapter deals with bifurcation dynamics in control systems, which are described by ordinary differential equations, partial differential... -
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... -
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... -
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... -
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... -
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...