RESEARCH OF PROCESSES IN CONTINUOUS SYSTEMS WITH MULTIPLE COMPLEX CONJUGATED EIGENVALUES OF THEIR STATE MATRIX

T. A. Akunov, N. A. Dudarenko, N. A. Polinova, A. V. Ushakov


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Abstract

The steady continuous system is considered which state matrix has spectrum of the multiple complex conjugated eigenvalues and their multiplicity is equal to a half dimension of its state vector. The special attention is paid to the situation when the modulus of an eigenvalue real part is less than unit. It is established that in the case of a small oscillativity of eigenvalues there is a noticeable overshoot in processes on norm of free transient motion on state vector and the more its multiplicity and imaginary part and the less on the modulus is the real component of an eigenvalue the more is the size of the overshoot.


Keywords: complex conjugated eigenvalues, multiplicity, free transient motion, norm, overshoot
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