Parallelization of Algorithms for the Solution of Optimal Measurements in View of Resonances

This paper describes a method for parallel algorithm of numerical solution of the problem of dynamically distorted signal inertial measurement unit and resonances in the chains that is optimal measuring with the resonances. The proposed approach can significantly increase the computing speed and remove the main drawback which is long time for computation and the procedure for finding the minimum of quality functional in the algorithm. Ideas of this method of parallelization algorithm can be applied to algorithms and solutions for optimal control problems of Leontief type systems.

Keywords

the problem of optimal measuring; resonances in circuits measuring device; Leontief type systems; dynamic measurements; optimal control.

References

1. Shestakov A.L., Sviridyuk G.A. A New Approach to Measuring Dynamically Distorted Signals [Novyj podhod k izmereniju dinamicheski iskazhennyh signalov]. Bulletin of the South Ural State University. Series 'Mathematical Modelling, Programming & Computer Software', 2010, no. 16 (192), issue 5, pp. 116-120.
2. Shestakov A.L., Sviridyuk G.A. Optimal Dynamic Measurement of Distorted Signals [Optimal'noe izmerenie dinamicheski iskazhennyh signalov]. Bulletin of the South Ural State University. Series 'Mathematical Modelling, Programming & Computer Software', 2011, no. 17 (234), issue 8, pp. 70-75.
3. Keller A.V., Nazarova E.I. The Problem of Optimal Measurement: a Numerical Solution, the Algorithm of the Program [Zadacha optimal'nogo izmerenija: chislennoe reshenie, algoritm programmy]. Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya 'Matematika' [ J. of News of Irkutsk State University. Series 'Mathematics'], 2011, vol.4, no. 3, pp.74-82.
4. Keller A.V. About the Algorithm for Solving Optimal Control and Hard Control [Ob algoritme reshenija zadach optimal'nogo i zhestkogo upravlenija]. Programmnye produkty i sistemy [Program Products and Systems], 2011, no. 3, pp. 170-174.
5. Keller A.V., Zaharova E.V. The Problem of Optimal Measurement in View Resonances: the Programm Algorithm and Computer Experiment [Zadacha optimal'nogo izmereniya s uchetom rezonansa: algoritm programmy i vychislitel'nyi eksperiment]. Bulletin of the South Ural State University. Series 'Mathematical Modelling, Programming & Computer Software', 2012, no. 27 (286), issue 13, pp. 58-68.