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Uniformly Stability of Networked Control Systems with Non-Homogeneous Markov Chain
2018 37th Chinese Control Conference (CCC), 2018This paper focuses on the stabilization problem for a class of networked control systems where packet loss is described by a Markov chain. Taking into account the variation of network status, the mode transition probability matrix (MTPM) of Markov chain varies randomly instead of being time-invariant or piecewise constant, and thus a non-homogeneous ...
Pengfei Jiang +3 more
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Robust stabilization of uncertain non-homogeneous Markov jump linear systems
The 3rd International Conference on Control, Instrumentation, and Automation, 2013This paper is concerned with the problem of designing a robust state-feedback stabilizer for continuous-time Markov jump linear systems with time varying transition rates, i.e. for a non-homogeneous Markov jump linear system. Transition rates are assumed to be piecewise constant, so the Markov jump linear system is piecewise homogeneous in fact.
M. Faraji-Niri +2 more
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On certain aspects of non-homogeneous Markov systems in continuous time
Journal of Applied Probability, 1990In the present paper we study three aspects in the theory of non-homogeneous Markov systems under the continuous-time formulation. Firstly, the relationship between stability and quasi-stationarity is investigated and conditions are provided for a quasi-stationary structure to be stable.
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Journal of Applied Probability, 1988
In this paper we study the asymptotic periodicity of the sequence of means, variances and covariances of the state sizes of non-homogeneous Markov systems. It is proved that under the assumption that the sequence of the extended stochastic transition matrices converge to a matrix which is an irreducible stochastic matrix of period d, and all the ...
Tsaklidis, G., Vassilio, P.-C. G.
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In this paper we study the asymptotic periodicity of the sequence of means, variances and covariances of the state sizes of non-homogeneous Markov systems. It is proved that under the assumption that the sequence of the extended stochastic transition matrices converge to a matrix which is an irreducible stochastic matrix of period d, and all the ...
Tsaklidis, G., Vassilio, P.-C. G.
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Cyclic behaviour and asymptotic stability of non-homogeneous Markov systems
Journal of Applied Probability, 1984In this paper we study the cyclic behaviour of non-homogeneous Markov systems, i.e. the behaviour of the system under the assumption of periodic sequences of transition matrices, input probabilities, output probabilities and total numbers in the system. We provide a general theorem for the limiting structure of such a system under the cyclic behaviour.
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Theory of fuzzy non homogeneous Markov systems with fuzzy states
Quality & Quantity, 2014In this paper the theory of fuzzy logic and fuzzy reasoning is combined with the theory of Markov systems and the concept of a fuzzy non homogeneous Markov system with fuzzy states is introduced for the first time. This is an effort to deal with the uncertainty introduced in the estimation of the transition probabilities, especially when social ...
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Stability in a non-homogeneous Markov chain model in manpower systems
Journal of Applied Probability, 1981Necessary and sufficient conditions for stability, imposed firstly on the initial structure and the sequence of recruitment, and secondly on the initial structure and the sequence of expansion are provided in forms of two theorems. Also the limiting behaviour of the expected relative grade sizes is studied if we drop the conditions for stability ...
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Describing Labour Market Dynamics Through Non Homogeneous Markov System Theory
2020The present paper applies the non-homogeneous Markov system (NHMS) theory to labour market transitions and provides a cross-national comparison of labour market flows among southern European countries. The theoretical adaptation of the NHMS model to labour market dynamics and its basic parameters are presented.
Maria Symeonaki, Glykeria Stamatopoulou
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The non homogeneous semi-Markov system in a stochastic environment
1996In the present we introduce and define for the first time the concept of a non-homogeneous semi Markov system in a stochastic environment (S-NHSMS). We study the problem of finding the expected population structure as a function of the basic parameters of the system.
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Transient analysis of a SIQS model with state capacities using a non-homogeneous Markov system
Journal of the Franklin InstitutezbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vasileios E. Papageorgiou +1 more
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