The possibility of applying the theory stochastic processes for evaluating dynamic pattern different states is studied critical-duty structures. Heterogeneous Markovian technical state transition metallurgical overhead crane structure, theorem and Kolmogorov-Chapman equation are analyzed. chain reviewed at t →∞, i.e. under marginal steady-state (stabilized) condition. Real values limit probabil...

Let T1 and T2 be two countable strongly minimal theories with the DMP whose common theory is the theory of vector spaces over a fixed finite field. We show that T1 ∪ T2 has a strongly minimal completion.

Learning to perform complex tasks out of a sequence of simple small demonstrations is a key ability for more flexible robots. In this paper, we present a system that allows for the acquisition of such task executions based on dynamical movement primitives (DMPs). DMPs are a successful approach to encode and generalize robot movements. However, current applications involving DMPs mainly explore ...

This paper aims to model the dynamics of social deprivation in Mexico using a Markovian approach. First, we establish scenario where list items characterizing evolves as first-order Markov chain under sample period (2002-2012). Then, estimate latent states and ergodic vectors hidden-Markov verify strength conclusions drawn from such scenario. After collecting results both kinds analyses, find s...

Queues with Markovian arrival and service processes, i.e., MAP/MAP/1 queues, have been useful in the analysis of computer and communication systems and di erent representations for their stationary sojourn time and queue length distribution have been derived. More speci cally, the class of MAP/MAP/1 queues lies at the intersection of the class of QBD queues and the class of semi-Markovian queue...

Bridge maintenance and replacement optimization methods use deterioration models to predict the future condition of bridge components. The purpose of this paper is to develop a framework for bridge maintenance optimization using a deterioration model that takes into account aspects of the history of the bridge condition and maintenance, while allowing the use of efficient optimization technique...

Let A be a finite set and X a sequence of A-valued random variables. We do not assume any particular correlation structure between these random variables; in particular, X may be a non-Markovian sequence. An adapted embedding of X is a sequence of the form R(X1), R(X1, X2), R(X1, X2, X3), etc where R is a transformation defined over finite length sequences. In this extended abstract we characte...

The problem of the mean square exponential stability for a class of discrete-time linear stochastic systems subject to independent random perturbations and Markovian switching is investigated. The case of the linear systems whose coefficients depend both to present state and the previous state of the Markov chain is considered. Three different definitions of the concept of exponential stability...

We analyse the convergence of stochastic algorithms with Markovian noise when the ergodicity of the Markov chain governing the noise rapidly decreases as the control parameter tends to innnity. In such a case, there may be a positive probabilityof divergence of the algorithm in the classic Robbins-Monro form. We provide modiications of the algorithm which ensure convergence. Moreover, we analys...