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A hybrid approach to nonlinear system theory is proposed. It combines input-output and state-space theories. Within this framework the standard notions of dynamic gain and dynamic incremental gain are examined. The concept of dynamic incremental gain over a set is introduced. A theorem is proven that allows the systematic computation of the set-incremental gain of an operator through nonsmooth optimal control theory. Examples are given that elucidate the above issues.
Decision and Control, 1987. 26th IEEE Conference on (Volume:26 )
Date of Conference: Dec. 1987