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The observer gain tuning is simple and intuitive using the passivity theorem.
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The Passivity Theorem is used to ensure the closed-loop stability.
We first reveal an inherent passivity property in an existing gradient-type algorithm, and prove stability from the Passivity Theorem.
In this paper, a new approach to fault-tolerant control of unstable processes is proposed based on the Passivity Theorem.
In this paper, based on the passivity theorem, an adaptive fuzzy controller is designed for a class of unknown nonaffine nonlinear systems with arbitrary relative degree and saturation input nonlinearity to track the desired trajectory.
Find 2-D distance by using the Pythagorean theorem.
Check your measurement by using the Pythagorean Theorem.
There is another proof using the elementary amalgamation theorem and the elementary chain theorem.
Using the same passivity-based method, the complete synchronization of the hyperchaotic system is also obtained.
Indeed, here's how Kadijah Abdur-Rahim, 18, described making oars: "You use the Pythagorean theorem," she said.
Then we establish several criteria for the passivity, input strict passivity and output strict passivity by using the Lyapunov functional method combined with the inequality techniques, and also reveal the relationship between passivity and stability of the reaction diffusion networks.
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