linearizable
- adjective
- /ˌlɪniˈɑːrəˌzaɪbəl/
- Specialized
- 680 From (6) one sees that there exists a function f(x) = z1 with df(x) ? ? n-1 such that is the coordinate frame. Now assume the switched system is linearizable, then under such a coordinate frame all the models have feedback linear forms.
Examples
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We call (6) and its varying forms obtained by a linear coordinate transformation the feedback-linearizable form, because a state feedback can only convert it into a linear form.
Academic text (2010) -
Note that by definition, if (1) is linearizable, then each model is linearizable.
Academic text (2010) -
Note that by definition, if (1) is linearizable, then each model is linearizable.
Academic text (2010) -
Definition 3. System (19) is said to be (locally) non-regular static feedback-linearizable if it can be transformed into via state feedbacks with a ?(0) = 0, ?(x): mk, k<m, and a state space diffeomorphism.
Academic text (2010) -
In control theory, a system is considered linearizable if it can be transformed into a linear form for easier analysis.
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When a mathematical function is linearizable, it allows us to approximate its behavior using linear equations.
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The model is linearizable under certain conditions, making it easier to predict outcomes in engineering applications.
Antonyms
- Specialized
5
6.8
A math equation or relation that does not make a straight line and is harder to solve
How Linear
Surface Forms
Morphology
Etymology
Linearizable comes from linear, which comes from line meaning 'line', and the ending -able meaning 'can be'. So something linearizable can 'be made like a line' or turned into a simple, straight form, which is why engineers use the word for systems you can model with simpler math.