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
Publication Date: January 30, 2020
Submission Date: October 20, 2019
Revision Date: November 27, 2019
Accteptance Date: December 10, 2019
- Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460, USA.
- Department of Mathematics, Geethanjali Engineering College, Hyderabad, Telangana 501301, India.
K. N. Murty
- Department of Applied Mathematics, Andhra University, Waltair, AP 530017, India.
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.
- Linear Systems
- time scale dynamical systems
- control systems
- concurrency control
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