Results 171 to 180 of about 556,588 (202)

On generalisations of the Popov criterion

International Journal of Non-Linear Mechanics, 1970
Abstract In this paper a general theorem is proved for the asymptotic stability in the large of non-linear feedback systems. It is shown that this theorem is a generalization of the celebrated Popov criterion toward the Nyquist criterion for linear feedback systems.
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Delay-independent circle criterion and popov criterion

IFAC Proceedings Volumes, 2001
Abstract In the present paper are studied delay-independent versions of circle criterion and Popov criterion, for some nonlinear delay systenls with sector-bounded nonlinearities. Necessary and sufficient conditions are obtained in terms of solvability of linear matrix inequalities.
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Comments on "On the robust Popov criterion for interval Lur"e systems

IEEE Transactions on Automatic Control, 1995
This paper supplements the remarks made in a paper by Dahleh et al. (IEEE Trans. Automat. Contr. vol.38, p.1400-5 (1993)) regarding the Popov sector of Lur'e systems with interval plants. A numerical example is provided to show that strict inequalities hold among three sectors: those obtained by the theorem of the paper, by applying Popov theorem to ...
Takehiro Mori, T. Nishimura, Yasuaki Kuroe, Hideki Kokame   +3 more
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Popov-Type Criterion for Stability of Nonlinear Sampled-Data Systems

Automatica, 1998
The paper deals with pseudo-\(L_2\)-stability of nonlinear sampled-data systems with a sector nonlinearity under the assumption that the nonlinearity in the control system is time invariant and without memory. The authors derive a stability criterion of Popov type by applying the multiplier technique.
Tomomichi Hagiwara, Go Kuroda, Mituhiko Araki   +2 more
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The Popov Criterion For Consensus Between Delayed Agents

IFAC Proceedings Volumes, 2013
Abstract We consider consensus algorithms for multi-agent networks with high-order and delayed dynamics of agents. The topology is assumed to be fixed and undirected, however the couplings may be nonlinear and uncertain, we assume only the symmetry condition to be valid. We obtain conditions of stability for such algorithms that are similar in spirit
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Application of the Popov criterion to design of nonlinear systems

IEEE Transactions on Automatic Control, 1971
A method for nonlinear system design based on the generalized Popov stability criterion is developed. It is shown that although the design method is applicable for all values of q in the Popov theory, it is particularly useful when q is nonzero since it greatly simplifies the design effort for this case. All designs are accomplished in conjunction with
C. Zimmerman, G. Thaler
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The Popov criterion and the inverse Nyquist method†

International Journal of Control, 1973
Kosonbrock's inverse Nyquist array (I.N.A.) theory for linear multivariable control Bystema with constant feedback elements is extended, to include systems lip to m nonlinear feedback elements, where the system has m inputs and m outputs. This extension is achieved by considering the Popov criterion for the most general case and through two further ...
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Analog phaselock loop design using Popov criterion

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2003
Establishes a phaselock criterion based on the Popov criterion. The phaselock criterion, when combined with some straightforward numerical search, can be used to design the low-pass filter in a phaselock loop with a guaranteed lock range.
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A method for robust stabilization related to the Popov stability criterion

International Journal of Control, 1995
It is well known that the Popov stability criterion is equivalent to the existence of a Lyapunov function of the Lur'e-Postnikov form. In this paper, this idea is extended to the problem of output feedback robust stabilization. The paper defines a notion of 'absolute stabilization with a Lyapunov function of the Lur'e-Postnikov form’.
ANDREY V. SAVKIN, IAN R. PETERSEN
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Application of Popov's criterion to signal stabilization in discrete systems

IEEE Transactions on Automatic Control, 1970
In a previous paper [1], a new method called the dual input discrete describing function (DIDDF) was presented, which enables one to determine the minimum amplitude of sinusoidal dither to be applied, to stabilize a relay type sampled-data control system.
P. Janakiraman, P. Rao
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