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Stability of a sinusoidal-perturbation extremal-control system

Stability of a sinusoidal-perturbation extremal-control system

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A theoretical stability analysis of a single-input sinusoidal-perturbation extremal-control system with output lag is considered. Periodic solutions of the system equations are obtained using the principle of harmonic balance, and their stability properties are investigated. The domains of attraction of the stable solutions are plotted to give the stability boundaries for the system.

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