Analytic solution of transcendental equations
A decomposition technique of the solution of an n-th order linear differential equation into a set of solutions of 2-nd order linear differential equations is presented.
Algebraic condition for decomposition of large-scale linear dynamic systems
The paper concerns the problem of decomposition of a large-scale linear dynamic system into two subsystems. An equivalent problem is to split the characteristic polynomial of the original system into two polynomials of lower degrees. Conditions are found concerning the coefficients of the original polynomial which must be fulfilled for its factorization. It is proved that knowledge of only one of the symmetric functions of those polynomials of lower degrees is sufficient for factorization of the...
A new method for analytic determination of extremum of the transients in linear systems
Analytic results for oscillatory systems with extremal dynamic properties
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