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• W1971319697 abstract "For the L2-stability of a nonlinear single-input–single-output (SISO) feedback system, described by an integral equation and with the forward block transfer function and a first- and third-quadrant non-monotone nonlinearity in the feedback path, we derive an interesting generalization of the celebrated criterion of Popov [(1962). Absolute stability of nonlinear systems of automatic control. Automation and Remote Control, 22(8), 857–875]: , where is a constant. The generalization entails the addition of a general causal+anticausal O'Shea–Zames–Falb multiplier function whose time-domain -norm is constrained by certain characteristic parameters (CPs) of the nonlinearity obtained from certain novel algebraic inequalities. If the nonlinearity is monotone or belongs to any prescribed subclass of , its CPs are reduced, thereby relaxing the time-domain constraint on the multiplier. An important special feature of the new stability results is a partial bridging of the significant gap between the Popov criterion an..." @default.
• W1971319697 created "2016-06-24" @default.
• W1971319697 creator A5077760970 @default.
• W1971319697 date "2015-01-01" @default.
• W1971319697 modified "2023-09-24" @default.
• W1971319697 title "On improving Popov's criterion for nonlinear feedback system stability" @default.
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• W1971319697 doi "https://doi.org/10.1080/21642583.2015.1008153" @default.
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