In this brief, a graphical approach is developed from an engineering frequency-domain approach enabling prediction of perioddoubling bifurcations (PDB’s) starting from a small neighborhood of Hopf bifurcation points useful for analysis of multiple oscillations of periodic solutions for time-delayed feedback systems. The proposed algorithm employs higher order harmonic-balance approximations (HB...

Multiloop delayed negative feedback systems, with each feedback loop having its own characteristic time lag (delay), are used to describe a great variety of systems: optical systems, neural networks, physiological control systems, etc. Previous investigations have shown that if the number of delayed feedback loops is greater than two, the system can exhibit complex dynamics and chaos, but in th...

This paper concerns with a new class of adaptive gain-scheduled H∞ control of linear parametervarying (LPV) systems with time-delayed elements. The plants in this manuscript are assumed to be polytopic LPV systems which have time-delayed components, but the scheduled parameters and time-delayed elements in those plants are not known a priori, and thus, the conventional gain-scheduled control st...