Search results for "Markov systems"

showing 2 items of 2 documents

A note on renewal systems

1992

Abstract A renewal system is a symbolic dynamical system generated by free concatenations of a finite set of words. In this paper we prove that, given two systems which are both renewal and Markov systems, it is decidable whether they are topologically conjugate. The proof makes use of the methods and the techniques of formal language theory.

Discrete mathematicsAlgebraGeneral Computer ScienceFormal languageMarkov systemsDynamical system (definition)Topological conjugacyFinite setComputer Science::Formal Languages and Automata TheoryDecidabilityMathematicsTheoretical Computer ScienceComputer Science(all)Theoretical Computer Science
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Robust Estimation for Discrete Markov System with Time-Varying Delay and Missing Measurements

2013

This paper addresses theℋ∞filtering problem for time-delayed Markov jump systems (MJSs) with intermittent measurements. Within network environment, missing measurements are taken into account, since the communication channel is supposed to be imperfect. A Bernoulli process is utilized to describe the phenomenon of the missing measurements. The original system is transformed into an input-output form consisting of two interconnected subsystems. Based on scaled small gain (SSG) theorem and proposed Lyapunov-Krasovskii functional (LKF), the scaled small gains of the subsystems are analyzed, respectively. New conditions for the existence of theℋ∞filters are established, and the correspondingℋ∞f…

Scheme (programming language)EngineeringArticle Subjectbusiness.industrylcsh:MathematicsGeneral MathematicsGeneral EngineeringMarkov systemslcsh:QA1-939Filter designlcsh:TA1-2040Control theoryFiltering problemVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Anvendt matematikk: 413ImperfectBernoulli processlcsh:Engineering (General). Civil engineering (General)businesscomputercomputer.programming_languageMarkov jumpMathematical Problems in Engineering
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