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On controllability of linear interval dynamical systems
Dmitriy V. Dolgy 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.1
We consider controllability problem for linear dynamical systems with interval coefficients of corresponding matrices. We introduce concepts of universal and sub-universal controls, obtain methods of their construction and get their interesting properties.
ON IDENTIFICATION PROBLEM OF LINEAR INTERVAL DYNAMICAL SYSTEM
Dmitriy V. Dolgy 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.1
We consider identification problem for linear dynamical sys- tems with interval coefficients of corresponding matrices. Using con- cepts of universal and sub-universal solutions of linear systems we obtain methods for construction identifiable parameter and get its properties.
Vitality problem for linear controlled system
Dmitriy V. Dolgy 장전수학회 2013 Advanced Studies in Contemporary Mathematics Vol.23 No.1
The problem of vitality of the linear controlled system is introduced. It is shown that vitality problem is equivalent to the problem of solving linear system with interval coefficients. One constructive method of solving it is suggested.
Control of the systems subjected to amplitude perturbations
Dmitriy V. Dolgy 장전수학회 2014 Proceedings of the Jangjeon mathematical society Vol.17 No.3
It is considered mini-max, realistic and applied approaches for formulating and solving the problem of control of the system subjected to amplitude perturbations (vitality problem). It is shown that vitality problem for linear controlled system is reduced to the problem of solving specific linear problem.One important problem of constructing of terminal set by system of linear inequalities is solved.
Control of the linear systems under uncertainty
Dmitriy V. Dolgy 장전수학회 2013 Advanced Studies in Contemporary Mathematics Vol.23 No.3
The general statement of problem of vitality of controlled systems is introduced. Mini-max, realistic and applied approaches for formulating and solving the problem of vitality are considered. It is shown that vitality problem for linear controlled systems is reduced to the problem of solving specific linear problem.
Control of the wireless power transfer circuit
권종겸,장이채,김태균,Dmitriy Dolgy 장전수학회 2020 Advanced Studies in Contemporary Mathematics Vol.30 No.3
We consider one of the most popular wireless power transfer circuits, formalize it as the optimal control problem and apply Pontryagin maximum principle for obtaining its solution.