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About Mod12 - Lecture 2
This document discusses linearizing nonlinear systems around equilibrium points. It defines nonlinearity and explains that while physical systems are nonlinear, linearization allows the use of tools developed for linear systems. Linearization involves taking a Taylor series approximation of a system around an equilibrium point, where the dynamics are zero. This yields a Jacobian matrix of first-order derivatives that represents the linearized system dynamics. Computing the Jacobian at an equilibrium point directly provides the linearized system matrix A.
Detailed Information
Author: | ['VAISHAKA N RAJ'] |
---|---|
Publication Year: | 2021 |
Pages: | 47 |
Language: | English |
Format: | |
Price: | FREE |
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