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Русская версия

**Alexander Lvovich Fradkov**

Institute of Problems in Mechanical Engineering,

Russian Academy of Sciences, 199178, Saint Petersburg, Russia

Department of Theoretical Cybernetics,

Saint Petersburg State University, 199034, Saint Petersburg, Russia

Dr.Sc., Professor

**Mikhail Markovich Lipkovich**

Institute of Problems in Mechanical Engineering,

Russian Academy of Sciences, 199178, Saint Petersburg, Russia

Department of Theoretical Cybernetics,

Saint Petersburg State University, 199034, Saint Petersburg, Russia

PhD in physics and mathematics

New version of passification with respect to given inputs and outputs is proposed. It can be considered as an extension of passification introduced in (Fradkov, IEEE CDC 2008). Necessary and sufficient conditions for the proposed version of passification are obtained for linear SISO systems. Solution is based on KYP lemma and Meerov's results concerning high gain stabilization.

- absolute stability
- KYP lemma
- linear systems
- Passification

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- Arcak, M., Larsen, M. and Kokotovic, P. (2003). Circle and Popov criteria as tools for nonlinear feedback design. Automatica, vol. 39, no. 4, pp. 643-650
- Fradkov, A., Lipkovich, M. (2015). Adaptive absolute stability. IFAC-PapersOnLine, vol. 48, no. 11, pp. 258-263
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