PROCESS OSCILLATIVITY STUDY IN APERIODIC CONTINUOUS SYSTEMS, GENERATED BY EIGENVALUES MULTIPLICATION FACTOR

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


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Abstract

The article deals with the steady aperiodic continuous system with state matrix obtaining the spectrum of multiple eigenvalues which multiplicity is equal to dimension of its state vector. It is shown that if the eigenvalue magnitude is less than unity, in system free transient motion on norm of state vector the oscillativity is found which becomes apparent by initial overshoot, being replaced by monotonous movement to quiescent state. It is established that the less eigenvalue modulo and the more its multiplicity, the more overshoot size.


Keywords: real eigenvalue, multiplicity, free transient motion, norm, overshoot
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