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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Qualitative properties of systems with fractional-order terms in control theory
 Malárik, Peter ; Nechvátal, Luděk (referee) ; Kisela, Tomáš (advisor)
This bachelor thesis deals with the analysis of linear systems of fractional differential equations with and without delay. The thesis also introduces the basic theory of fractional calculus. The analysis itself is supported by a graphical representation of known theoretical results with comments comparing various properties of integer-order systems with fractional ones. We focus mainly on stability and asymptotic properties. We also present an aplication of fractional calculus on the coupled pendulum problem, where fractional differential equations are used to solve real problems.
Detailed record
Qualitative properties of systems with fractional-order terms in control theory
 Malárik, Peter ; Nechvátal, Luděk (referee) ; Kisela, Tomáš (advisor)
This bachelor thesis deals with the analysis of linear systems of fractional differential equations with and without delay. The thesis also introduces the basic theory of fractional calculus. The analysis itself is supported by a graphical representation of known theoretical results with comments comparing various properties of integer-order systems with fractional ones. We focus mainly on stability and asymptotic properties. We also present an aplication of fractional calculus on the coupled pendulum problem, where fractional differential equations are used to solve real problems.
Detailed record

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