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Unformatted text preview: Lecture S11 Muddiest Points General Comments Today, we began looking at definitions of stability. There are many possible definitions; the definition we are using is called Bounded Input Bounded Output Stability. Basically, a system is BIBO stable if and only if nice inputs produce nice outputs. Our definition of nice is that the signals are bounded. We got only part way through our discussion of BIBO stability. We will pick it up again in the next lecture. Responses to Muddiest-Part-of-the-Lecture Cards (Only 15 cards) 1. What is an example of a system with a bounded input and a bounded output? (1 students) To take a really boring example, think about one of the RC circuit examples. It’s not hard to show that any of the RC circuits we looked at this year are BIBO stable. Therefore, every bounded input will produce a bounded output. 2. [Card has a drawing of a step function.] We called this bounded, but the area from zero to infinity is not finite. How is it stable? (1) It’s not! It’s true that the It’s not!...
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- Fall '05
- Laplace, Bounded Input Bounded