A new class of reducible linear time-varying systems and its relation to the optimal control problem. Issue 2 (2016)

• Record Type: Journal Article
• Authors: Kalenova, V.I.; Morozov, V.M.
• Is Part Of: Journal of applied mathematics and mechanics. Volume 80:Issue 2(2016)
• Page Start: 105
• Page End: 112
• Publication Date: 2016
• Subjects: Mechanics, Analytic -- Periodicals; Mechanics, Applied -- Periodicals; Applied mathematics -- Periodicals; Mécanique analytique -- Périodiques; Mécanique appliquée -- Périodiques; 531.01515
• DOI: 10.1016/j.jappmathmech.2016.06.007
• Languages: English
• ISSNs: 0021-8928

Abstract

Abstract: The previously described classes of linear time-varying systems that can be reduced to time-invariant systems are enumerated, and new constructively reducible first- and second-order systems are introduced. A theorem regarding the effective necessary and sufficient conditions for reducibility is formulated and proved for second-order linear time-varying systems. For first-order linear time-varying systems of the new class, a comparison is made with the systems of equations that appear when the optimal control problem with a quadratic quality criterion is solved.