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- W2040231639 abstract "A family of velocity-based linearizations is proposed for a nonlinear system. In contrast to the conventional series expansion linearization, a member of the family of velocity-based linearizations is valid in the vicinity of any operating point, not just an equilibrium operating point. The velocity-based linearizations facilitate dynamic analysis far from the equilibrium operating points and enable the transient behaviour of the nonlinear system to be investigated. Using velocity-based linearizations, stability conditions are derived for both smooth and non-smooth nonlinear systems which avoid the restrictions to trajectories lying within an unnecessarily (perhaps excessively) small neighbourhood about the equilibrium operating points inherent in existing frozen-input theory. For systems where there is no restriction on the rate of variation the velocity-based linearization analysis is global in nature. The analysis techniques developed, although quite general, are motivated by the gain-scheduling design approach and have the potential for direct application to the analysis of gain-scheduled systems." @default.
- W2040231639 created "2016-06-24" @default.
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- W2040231639 date "1998-01-01" @default.
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- W2040231639 title "Gain-scheduled and nonlinear systems: Dynamic analysis by velocity-based linearization families" @default.
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- W2040231639 doi "https://doi.org/10.1080/002071798222415" @default.
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