Geodesic
Stability, controllability, and observability criteria for state-space dynamical systems on measure chains with an application to fixed point arithmetic
Wu, Yan 1 ; P, Sailaja2 ; Murty, K. N. 3
1 Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460, USA
2 Department of Mathematics, Geethanjali Engineering College, Hyderabad, Telangana 501301, India
3 Department of Applied Mathematics, Andhra University, Waltair, AP 530017, India
Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 4, p. 187-195.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, our main attempt is to unify results on stability, controllability, and observability criteria on real-time dynamical systems with non-uniform domains. The results of continuous/discrete systems will now become a particular case of our results. As an application a first-order time scale dynamical system on measure chains in one-dimensional state space having both continuous/discrete filters to minimize the effect of a round of noise at the filter outputs is presented. A set of necessary and sufficient conditions for this dynamical system to be stable and completely stable are established.
DOI : 10.22436/jnsa.013.04.03
Classification : 93B05, 93B07, 93B20, 93B55, 93D99
Keywords: Linear Systems, time scale dynamical systems, control systems, concurrency control

Wu, Yan  1 ; P, Sailaja 2 ; Murty, K. N.  3

1 Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460, USA
2 Department of Mathematics, Geethanjali Engineering College, Hyderabad, Telangana 501301, India
3 Department of Applied Mathematics, Andhra University, Waltair, AP 530017, India 
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Wu, Yan ; P, Sailaja; Murty, K. N. . Stability, controllability, and observability criteria for state-space dynamical systems on measure chains with an application to fixed point arithmetic. Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 4, p. 187-195. doi : 10.22436/jnsa.013.04.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.013.04.03/

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