The synthesis of (Co and Ni) ferrite nanoparticles followed the methods reported in the literature, 1, 2 with the following modifications. Regarding the materials, Benzyl ether (99%), 1,2hexadecanediol (90%), oleic acid (OA) (90%), oleylamine (OAm) (70%), cobalt (II) acetylacetonate, nickel (II) acetylacetonate, iron (III) acetylacetonate were purchased from Sigma-Aldrich Inc. Absolute ethanol and hexane (95%) were purchased from Fisher Chemical.
Experimental and anecdotal evidences have shown that state-switched control strategies for piezoelectric actuators can be advantageous. However, most discussions of the stability of these systems has relied on heuristic, or physically motivated, arguments. In this paper, we show that recent open-circuit-short-circuit (OC-SC) state-switching control laws can be viewed as hybrid dynamical systems of Witsenhausen type. Within this framework, the closed-loop stability of OC/SC switching is rigorously established using the method of multiple Lyapunov functions.
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