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On L2-sensitivity minimization of linear state-space systems

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2 Author(s)
Yan, W.-Y. ; Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia ; Moore, J.B.

Properties of the solution to the L2-sensitivity minimization problem are discussed. In particular, a specific form of the solution is derived together with a bound. This bound gives an insight into the difference between a pure L2-sensitivity optimal realization and a mixed L 2/L1-sensitivity optimal one. The question of L2-sensitivity balanced truncation is addressed, and a counterexample is presented to show that two main properties associated with model reduction by truncating a Lyapunov balanced realization are lost in the case of L2-sensitivity balanced truncation

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:39 ,  Issue: 8 )