On Equilibrium of an Adaptive Single Component Market
2011
Vineta Minkēviča, Kārlis Šadurskis

A mathematical model of an adaptive Samuel-Marshall type single component market described by quasi-linear functional differential equations with dependent on phase coordinates and frequently switched an ergodic Markov process is presented. The proposed method is based on an averaging procedure with respect to time along the critical solutions of the generative average linear equation and with respect to the invariant measure of the Markov process. It is proved that exponential stability of the resulting deterministic equation is sufficient for exponential stability of the initial random system for all positive numbers and for sufficiently fast switching.


Atslēgas vārdi
exponential stability, Markov process, Samuel-Marshall type single component market, projective operator
DOI
10.2478/v10143-011-0038-x
Hipersaite
http://www.degruyter.com/view/j/acss.2011.45.issue--1/v10143-011-0038-x/v10143-011-0038-x.xml?format=INT

Minkēviča, V., Šadurskis, K. On Equilibrium of an Adaptive Single Component Market. Informācijas tehnoloģija un vadības zinātne. Nr.49, 2011, 31.-35.lpp. ISSN 1407-7493. Pieejams: doi:10.2478/v10143-011-0038-x

Publikācijas valoda
English (en)
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