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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Stability analysis of delay differential equations
 Pustějovský, Michal ; Opluštil, Zdeněk (referee) ; Tomášek, Petr (advisor)
This thesis deals with asymptotic stability analysis of delayed differential equations. First we focus on introduction of this type of equations. Next we study stability of linear autonomous equations. Here we get some simple criteria of stability. The main part of the thesis is application of these criteria to a engineering problem - the model of turning tool regenerative effect. In mathematical sense, it is a initial value problem of linear delayed differential equation. Practical outcome of this thesis is a computer application written in Maple environment displaying stability region.
Detailed record
Stability analysis of delay differential equations
 Pustějovský, Michal ; Opluštil, Zdeněk (referee) ; Tomášek, Petr (advisor)
This thesis deals with asymptotic stability analysis of delayed differential equations. First we focus on introduction of this type of equations. Next we study stability of linear autonomous equations. Here we get some simple criteria of stability. The main part of the thesis is application of these criteria to a engineering problem - the model of turning tool regenerative effect. In mathematical sense, it is a initial value problem of linear delayed differential equation. Practical outcome of this thesis is a computer application written in Maple environment displaying stability region.
Detailed record

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