Absolute Stability of Nonlinear Systems of Automatic Control

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How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Constructive nonlinear control: a historical perspective (2001, background): “Then suddenly, the absolute stability problem was solved with a frequency-domain criterion by Popov (1960, 1962), which was an instant success.”
Robust stability for delay Lur'e control systems with multiple nonlinearities (2005, background): “The absolute stability problem of Lur’e control systems has widely been studied and has practical applications(see [15], [13], [8], [20], [7]).”
Analysis and Design of Optimization Algorithms via Integral Quadratic Constraints (2014, background): “Examples include the Popov criterion [33], the small-gain theorem, the circle criterion, and passivity theory [46].”
Piecewise Linear Control Systems (2003, methodology): “Two beautiful examples are the circle criteria [152] and the Popov criteria [113].”
Control: A perspective (2014, methodology): “Originally the problem was approached by Lyapunov theory but a major breakthrough was made by Popov who provided a stability condition in terms of a restriction of the Nyquist plot of the linear part [535,536].”