N. A. Tseligorov, E. N. Tseligorova, G. М. Mafura
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This paper focuses on the use of computer modeling to study the uncertainty on the
absolute robust stability of nonlinear impulsive control systems (NICS). We have
considered a multivariate mathematical model of NICS. The criterion for an absolute
stability of the equilibrium of an impulsive system with a monotonous nonlinear characteristic is converted to a polynomial expression, which is more suitable for future
analysis. We have proposed a further investigation of the expression to conduct a modifi ed root locus method. The study of robust stability of NICS is carried out by going to the interval coeffi cients of the transfer function based on strong Kharitonov’s theorem and the use of a modifi ed root locus method for interval polynomials.
Keywords: nonlinear impulsive control systems, absolute stability, uncertainty, robust stability, interval polynomial, root locus, criterion of absolute stability
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