Conditions for Global Stability of Two Linearly Interconnected Nonlinear Systems.
MICHIGAN UNIV ANN ARBOR DEPT OF AEROSPACE ENGINEERING
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Simple and easy to use conditions are developed which guarantee global stability of two linearly interconnected nonlinear systems. The conditions consist of scalar frequency response conditions of Popov type on the linear dynamical subsystems and inequalities involving the sector bounds and parameters in the problem the inequalities have a simple graphical interpretation in terms of the product of the interconnection coefficients. Examples with particular numerical values are presented to illustrate application of the results.
- Theoretical Mathematics