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National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
Fractional decision making models in networks
 Malárik, Peter ; Nechvátal, Luděk (referee) ; Kisela, Tomáš (advisor)
This thesis deals with the problem of modelling specific types of complex systems using networks, especially those that indicate the possible occurrence of so-called fractional dynamics. Two variants of the Voter Model, which is one of the basic decision models describing the propagation of opinions in a social setting, are presented. By enriching the dynamics of the model with history dependence and by setting the system over different kinds of networks, we observe qualitative changes in behavior that are typical in the presence of the aforementioned fractional dynamics. We look at this issue from the point of view of numerous model simulations, which results are graphically presented, discussed and compared with known theory.
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
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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