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math.FA2007
Passive systems with a normal main operator and quasi-selfadjoint systems
Yu. M. Arlinskiĭ, S. Hassi, H. S. V. de Snoo
Passive systems with and as an input and output space and as a state space are considered in the case that the main operator on the state space is normal.…
math.SP2007
The Kalman--Yakubovich--Popov inequality for passive discrete time-invariant systems
Yury Arlinskii
We consider the Kalman - Yakubovich - Popov (KYP) inequality \[ \begin{pmatrix} X-A^* XA-C^*C & -A^*X B- C^*D\cr -B^*X A-D^* C & I- B^*X B-D^*D \end{pmatrix} \ge 0 \] for contracti…