Abstract
When a control system contains a hysteretic nonlinearity, or a dead time element (transportation lag), or a distributed lag, the system may be described by a characteristic equation with complex coefficients which are functions of dependent variables. The characteristic equation is partitioned and root locus methods are used to analyze stability, existence and characteristics of limit cycles, damping characteristics of stable systems, etc. Control systems with frequency dependent, hysteretic, nonlinearities and with adjustable parameters are analyzed using parameter plane and parameter space methods.
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