# CDS 212, Homework 6, Fall 2010

 J. Doyle Issued: 2 Nov 2010 CDS 212, Fall 2010 Due: 11 Nov 2010

### Problems

1. Proof of Lemma 5 in the KYP paper:
1. Use part (i) of Lemma 3 to prove part (iii) of this lemma in the KYP paper. Note that you do not need to prove part (i).
2. Use part (iii) of Lemma 3 in the KYP paper to prove Lemma 5.

(Note: a short proof is given in the paper for both parts (a) and (b); but you must provide a detailed proof for full credit.)

2. Consider the following state space equation:
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