MIT6_003S10_assn07

MIT6_003S10_assn07 - 6.003 Homework 7 Due at the beginning...

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6.003 Homework 7 Due at the beginning of recitation on Wednesday, March 31, 2010 . Problems 1. CT stability Consider the following feedback system in which the box represents a causal LTI CT system that is represented by its system function. + K s 2 + s 2 X Y a. Determine the range of K for which this feedback system is stable. b. Determine the range of K for which this feedback system has real-valued poles. 2. DT stability Consider the following feedback system in which the box represents a causal LTI DT system that is represented by its system function. + K z 2 + z 2 X Y a. Determine the range of K for which this feedback system is stable. b. Determine the range of K for which this feedback system has real-valued poles. 3. BIBO stability A signal is said to be bounded if its absolute value is less than some constant at all times. A system is said to be stable in the bounded-input/bounded-output sense if all bounded inputs to the system generate bounded output signals. a.
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This note was uploaded on 12/14/2011 for the course EECS 6.003 taught by Professor Dennism.freeman during the Spring '11 term at MIT.

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MIT6_003S10_assn07 - 6.003 Homework 7 Due at the beginning...

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