21. Linearization of Nonlinear dynamical systems with state-space realizations in both frequency and time domains.22. In practice, generalized filtering uses local linearization over intervals \ Delta t to recover discrete updates 23. For example, the linearization at \ theta = 0, called the small angle approximation, is 24. "' Feedback linearization "'is a common approach used in controlling nonlinear systems. 25. Another linearization would be at \ theta = \ pi, corresponding to the pendulum being straight up: 26. As nonlinear equations are difficult to solve, nonlinear systems are commonly approximated by linear equations ( linearization ). 27. The linearization of a function is the first order term of its Taylor expansion around the point of interest. 28. A common linearization of this problem is the minimization of the maximum utilization U _ { max }, where 29. There are different concepts to linearize an amplifier, including pre-and post-distortion and feedback linearization . 30. In higher dimensions, the derivative of a function at a point is a linear transformation called the linearization ..
