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Lecture Notes on Nonlinear Systems and Control

Lecture Notes on Nonlinear Systems and ControlSpring Semester 2018 ETH ZurichPeter Al Hokayem and Eduardo GallesteyABB Switzerland, 1 KCH-5405, Baden-D Analysis61 Main Concepts .. Models and Nonlinear Phenomena .. Typical Nonlinearities .. Nonlinearities .. with Memory .. Examples of Nonlinear Systems .. Reactor .. Second Order Systems .. Behavior of 2ndOrder Systems Near Equi-librium Points .. Cycles and Bifurcations .. Exercises .. 312 Ordinary Differential and Uniqueness .. and Differentiability .. and Sensitivity Equation .. Exercises .. 453 Lyapunov Stability Introduction .. Stability of Autonomous Systems .. s Direct Method .. s Indirect Method .. 531 Nonlinear Systems and Control Spring The Invariance Principle.

This family of nonlinearities are called memoryless, zero memory or static because the output of the nonlinearity at any instant of time is determined uniquely by its input at that time instant; it does not depend on the history of the input. 1.2.2 Nonlinearities with Memory Quite frequently though, we encounter nonlinear elements whose input ...

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