Stability, controllability, and observability criteria for state-space dynamical systems on measure chains with an application to fixed point arithmetic
Volume 13, Issue 4, pp 187--195
http://dx.doi.org/10.22436/jnsa.013.04.03
Publication Date: January 30, 2020
Submission Date: October 20, 2019
Revision Date: November 27, 2019
Accteptance Date: December 10, 2019
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Authors
Yan Wu
- Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460, USA.
Sailaja P
- Department of Mathematics, Geethanjali Engineering College, Hyderabad, Telangana 501301, India.
K. N. Murty
- Department of Applied Mathematics, Andhra University, Waltair, AP 530017, India.
Abstract
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.
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ISRP Style
Yan Wu, Sailaja P, K. N. Murty, 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 Applications, 13 (2020), no. 4, 187--195
AMA Style
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. J. Nonlinear Sci. Appl. (2020); 13(4):187--195
Chicago/Turabian Style
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 Applications, 13, no. 4 (2020): 187--195
Keywords
- Linear Systems
- time scale dynamical systems
- control systems
- concurrency control
MSC
- 93B05
- 93B07
- 93B20
- 93B55
- 93D99
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