Decomposition method and its application to the extremal problems

Abstract

In the article solution of the problem of extremal value of x(τ) is presented, for the n-th order linear systems. The extremum of x(τ) is considered as a function of the roots s1, s2, ... sn of the characteristic equation. The obtained results give a possibility of decomposition of the whole n-th order system into a set of 2-nd order systems.

Keywords

• extremal problems
• decomposition
• characteristic equation
• transmittance