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The paper suggests the asymptotic stability condition for control systems characteristic polynomial families with interval coefficient perturbations and the method of their synthesis based on it. The combined approach of algebraic and analytical root locus methods is used.
The region of attraction of nonlinear dynamical system can be considered using an analytical R-function that can be written like an infinite series where each term of the series has the homogeneous form of degree n ?? 2 this function allows to determine and to come near to the region of attraction of a nonlinear system around the point of equilibrium located in the origin. The analytical function...
We present a linear matrix inequality (LMI) for testing the stability of a 2-D system described by the Fornasini-Marchesini first model. The test is based on the properties of sum-of-squares polynomials with matrix coefficients. Although the test implements a sufficient condition, extensive experiments suggest that the gap to necessity is very small. We also derive an LMI describing stability conditions...
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