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Conventional analyses of piezoelectric laminated structures are based on linear theories.
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The most popular prediction method is the eN method which is based on linear theory.
Design methods based on linear theory usually lead to shafting failures in engineering practice, since nonlinear theory has not been well incorporated into rotor dynamic design.
Although the results are based on linear theory and obviously neglect higher order effects, the method is unmatched when comparing and optimizing designs.
Moreover, power system is a large, complex and nonlinear system, and the controllers that are designed based on linear control theories may have a detrimental effect on the system performance, especially when there are large disturbances occurring in the system.
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Controllability tools based on linear control theory can serve for examining controllability issues for small variations.
Two different approaches based on linear response theory are considered in this paper.
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