Tchaban Z. The methods of analysis of static stability of actuating compo-nents of computer systems

The dissertation is devoted to building of method of analysis of static stability of periodical steady-state processes of electromechanical executing devices with con-centrated and distributed parameters as subsystems of computer systems of control. Analysis is realized in time area on base of general theory of non-linear differential equations with ordinary and partial derivatives. There is solved Cauchy problem and two point boundary value problem for differential equations. The stability of periodi-cal solution is determined on base of Flock's multiplicators of fundamental matrix. The problem is solved on base of combination of electromagnetic field theory, elec-tromagnetic circuit's theory and dynamics of motion. Such combination gives the possibility the simplest and the best to take into consideration complicated physical process and to write down differential equations of system in Cauchy's form, thanks to simplify computation of discrete model much as possible. In common algorithm is used known mathematical models and created new. The results of computation are given. The work consists: entry, four chapters, conclusions and list of used sources. In entry is shown the actuality of the problems, scientific novelty and practical importance of received results. In the first chapter is made critical analysis of used sources and is shown the expediency to use for static stability solution of method of model of sensitivity to ini-tial condition of differential equations of state. The second chapter consists: theoretical main principles of dissertation which are built on non-linear differential equations general theory, theory of electromagnetic circuits and electromagnetic field. Here is solved Cauchy problem and two point boundary value problem for differential equations of electromechanical state. Here are shown as previous results take on solution of asymptotic stability too. In the third chapter are built mathematical models of analysis of steady-state of electromechanical devices with concentrated electrical and mechanical parameters and determining of asymptotic stability of them. Here are computed stable and unsta-ble steady-state processes. In the fourth chapter the theoretical results of previous two chapters are generalized on systems with distributed electrical parameters. The appropriate mathematical models are built on conception of combination of theories of electromagnetic circuits and electromagnetic field. Here are computed stable and unstable steady-state processes also. Key words: computer systems components, static stability, non-linear electromechanical systems with concentrated and distributed parameters, electromagnetic circuits, electromagnetic field, Cauchy problem and two point boundary value problem for differential equations.