Conditions for the absence of cycles of the second kind in continuous and discrete systems with cylindrical phase space

Abstract

Continuous and discrete indirect control systems with periodic vector nonlinearities are considered. One of the key problems concerning the asymptotic behavior of such systems is studied, namely, the existence of cycles in a cylindrical phase space. Multiparameter frequency-algebraic criteria for the absence in a cylindrical phase space of a system of cycles with given frequency are obtained.