Lisogurskyi O. Computer-based methods of absolute stability analysis of multidimensional control systems

This work is dedicated to computer-based absolute stability criteria construction for complex control objects. There were formulated algebraic methods for absolute stability conditions analysis for the systems with two nonlinearities. Also proposed computer-based methods for solving a set of absolute stability theory tasks for the systems with a single nonlinearity in case of complex control objects. Developed methods don't require a continuous analysis of frequency domain matrix inequalities, but reduce the number of predefined parameters in absolute stability conditions. As a result this allows one to automate the stability analysis of multidimensional nonlinear systems.