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Expansion of linear and semilinear systems and the Popov criterion
International Journal of Control, 1982The expansion of linear and non-linear systems is considered and the concept of generalized expansion is introduced. Using the expansion of a non-linear system, the multivariable Popov criterion is generalized to the case where certain submatrices on the main diagonal of the original system are positive ...
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Contributions to the application of Popov and circle criterion for stability analysis
Proceedings of the 2014 15th International Carpathian Control Conference (ICCC), 2014Many nonlinear control systems can be represented as a feedback connection of a linear dynamical system and nonlinear element. Popov and circle criterion use the frequency response of the linear system, which builds on classical control tools like Nyquist plot and Nyquist criterion.
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A stability criterion for Hopfield networks based on Popov theorem
Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94), 2002A Hopfield network is considered as a nonlinear system with multiples nonlinearities (so called Lurie systems). A frequency domain criterion is formulated to prove global asymptotic stability of the equilibrium point of the system, this condition is expressed as a inequality over the whole range of frequency. This known result is applied to analyse the
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International Journal of Control, 1999
Many control applications can be described as non-linear feedback systems whose stability properties can, for example, be analysed with the circle criterion, the Popov criterion or the off-axis circle criterion. In the SISO case these sector criteria became very popular because of their simple graphic interpretations; the criteria's significance for ...
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Many control applications can be described as non-linear feedback systems whose stability properties can, for example, be analysed with the circle criterion, the Popov criterion or the off-axis circle criterion. In the SISO case these sector criteria became very popular because of their simple graphic interpretations; the criteria's significance for ...
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Estimating the conservatism of Popov's criterion
Guidance, Navigation, and Control Conference, 1996Constantinos Boussios, Eric Feron
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A generalization of the Popov criterion
IEEE Transactions on Automatic Control, 1965openaire +1 more source
Popov and Hurwitz stability criterions: A comparison
IEEE Transactions on Automatic Control, 1966E. Jackson, J. Aggarwal
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Revisiting Stability Analysis of Phase-Locked Loops With the Popov Stability Criterion
IFAC Journal of Systems and Control, 2021Mauricio C de Oliveira, Yilong Chen
exaly
On Generalizations and Extensions of the Popov Criterion
IEEE Transactions on Circuit Theory, 1966openaire +1 more source
Circle and Popov Criteria as Tools for Nonlinear Feedback Design
Automatica, 2003Murat Arcak, Petar Kokotovic
exaly