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Smooth blending of nonlinear controllers using density functions

A new convergence criterion for nonlinear systems was recently derived by the first author. The criterion is similar to Lyapunov’s second theorem but differs in several respects. In particular, it has a remarkable convexity property in the context of control synthesis. While the set of control Lyapunov functions for a given system may not even be connected, the corresponding set of “density” funct

On the Machining of Involute Helical Gears - Prediction models on tool geometry, cut gear tooth surface topography, chip geometry, and tool cutting forces

The modern requirements on power transmissions focus on energy efficiency, low noise and dynamic vibrations, and power density. In order to meet these requirements, the gear wheels must be manufactured to very high precision. Additionally, it should be economical to manufacture these gears within the tight requested tolerances. Gears manufactured within automotive, truck, and construction equipmen