ANALYSIS OF POSITIVE LINEAR CONTINUOUS-TIME SYSTEMS USING THE CONFORMABLE DERIVATIVE
AbstractPositive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear system is derived. Necessary and sufficient conditions for the positivity of linear systems are established. Necessary and sufficient conditions for the asymptotic stability of positive linear systems are also given. The solutions of positive fractional linear systems based on the Caputo and conformable definitions are compared.
|Journal series||International Journal of Applied Mathematics & Computer Science, ISSN 1641-876X|
|Publication size in sheets||0.5|
|Keywords in English||conformable fractional derivative; positive linear system; stability|
|ASJC Classification||; ;|
|Score||= 25.0, 08-02-2020, ArticleFromJournal|
|Publication indicators||: 2016 = 1.44; : 2017 = 1.694 (2) - 2017=1.712 (5)|
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