Miller, Richard K.; Michel, Anthony N.; Krenz, G. S. On the stability of limit cycles in nonlinear feedback systems: Analysis using describing functions. (English) Zbl 0536.93041 IEEE Trans. Circuits Syst. 30, 684-696 (1983). Cited in 1 ReviewCited in 4 Documents MSC: 93D10 Popov-type stability of feedback systems 93C10 Nonlinear systems in control theory 34C29 Averaging method for ordinary differential equations 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 34C25 Periodic solutions to ordinary differential equations 34D99 Stability theory for ordinary differential equations 37C75 Stability theory for smooth dynamical systems 37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems 70K05 Phase plane analysis, limit cycles for nonlinear problems in mechanics 70K20 Stability for nonlinear problems in mechanics 93C15 Control/observation systems governed by ordinary differential equations Keywords:stability and instability of limit cycles; nonlinear feedback systems; describing function method PDFBibTeX XMLCite \textit{R. K. Miller} et al., IEEE Trans. Circuits Syst. 30, 684--696 (1983; Zbl 0536.93041) Full Text: DOI