A family of root loci of systems with characteristic equation $(p^3 + a_{1}p^{2}+a_{2}p+a_{3})+K(p+b_{1})=0$. is investigated. The types of root loci are determined and expressions are obtained for finding the form of the root locus from coefficients of this equation, without directly constructing the locus. A graphic geometric interpretation of variations of the types of root loci as a function of any system parameters is given. Common dynamic properties of such systems, allowing a more purposeful synthesis of the latter, are pointed out.
Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Science News of the Faculty of Physics, Lomonosov Moscow State University
This new information publication, which is intended to convey to the staff, students and graduate students, faculty colleagues and partners of the main achievements of scientists and scientific information on the events in the life of university physicists.