Monday, 20 November 2023

Stability, Controllability, Observability, and Realizability Criteria for Linear Systems on Time Scales with an Application to Fixed Point Arithmetic | Chapter 8 | Research and Applications Towards Mathematics and Computer Science Vol. 6

 The objective concerning this study is to unify the results on support, controllability, observability, and realizability criteria on real time vigorous systems accompanying those for systems over non-uniform domains to a degree a dynamical system according to schedule scales or measure chains. It is shown that the conventional control analysis of whole project on continuous/individual systems is generalized to equivalent systems on time scales. We implement the novel flags on a first-order time-scale dynamical method using measure chains inside a one-dimensional state scope, featuring both individual and continuous filters, in order to weaken the impact of noise at the dribble outputs. A collection of necessary and adequate requirements for this dynamical structure to be stable and exponentially resistant has been settled.  We complete our discussion by considering strength analysis of digital/constant filter implementation liable to be subjected Finite Word Length (FWL) effects established eigenvalue sensitivity analysis.

Author(s) Details:

Yan Wu,
Department of Mathematical Sciences, Georgia Southern University, GA 30460, USA.

Sailaja Pranathi,
Department of Mathematics, Geethanjali Engineering College, Hyderabad, Telangana 501301, India.

Sailaja Pranathi,
Department of Mathematics, Geethanjali Engineering College, Hyderabad, Telangana 501301, India.

K. N. Murty,
Department of Applied Mathematics, Andhra University, Waltair, AP 530017, India.

Please see the link here: https://stm.bookpi.org/RATMCS-V6/article/view/12527

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