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H control for nonlinear systems with output feedback

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3 Author(s)
Ball, J.A. ; Dept. of Math., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA ; Helton, J.W. ; Walker, M.L.

The basic question of nonlinear H control theory is to decide, for a given two-port system, when feedback that makes the full system dissipative and internally stable exists. This problem can also be viewed as a question about circuits, and, after translation, also has a game-theoretic statement. Several necessary conditions for solutions to exist are presented, and sufficient conditions for a certain construction to lead to a solution are given

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Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 4 )