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ON THE ABSOLUTE STABILITY CRITERIA IMPROVING AND ABSOLUTE STABILITY REGIONS CONSTRUCTION
IFAC Proceedings Volumes, 1989A new improved absolute stability criterion is proposed for a system with a differentiable monotonic nonlinearity. For this class of systems the sufficient condition of absolute stability is that it should be possible to draw some broken line in the complex plane so that the frequency response W(jw) of the linear part of the system falls entirely to ...
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Absolute stability of neural networks
Systems and Computers in Japan, 1992AbstractA sufficient condition for the state of a recurrent neural network to converge stably to an equilibrium state is the symmetry of the weights of connections between constituent units. However, generally, it imposes a strong restriction on the capability of the network.
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On exponential absolute stability†
International Journal of Control, 1972Abstract A new sufficient condition is formulated for the Lur'e type non-linear continuous system to bo exponentially absolutely stable. The condition relaxes the assumptions on the non-linear characteristic by modifying the requirements on the linear part of the syatem.
D. D. SILJAK, C. K. SUN
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Algebraic Criteria of Absolute Stability
Journal of Mathematical Sciences, 2001New algebraic criteria for absolute stability are developed on the basis of the polynomial form of the frequency condition for absolute stability (Popov's inequalities). Analysis of the inequality is reduced to the analysis of the local properties of the polynomials and a rational function at the real negative semi axis.
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Algebraic criteria for absolute stability
Proceedings of 32nd IEEE Conference on Decision and Control, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Parameter analysis of absolute stability
Automatica, 1969A reformulation of absolute stability is used which includes variations of the system parameters. The envelope method is developed to determine the stability regions in the parameter space. In addition, a simple analytic test for absolute stability is presented.
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Absolute exponential stability and stabilization of switched nonlinear systems
Systems & Control Letters, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junfeng Zhang +3 more
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Absolute Stability for Neutral Differential Systems
European Journal of Control, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Absolute Stability of General Systems
1978In a fundamental paper, J. Auslander and P. Seibert made an exhaustive study of prolongations in the sense of T. Ura (Cf. [12] and [13]) and their connection with the second method of Liapunov [2]. The context was that of a dynamical system on a locally compact metric space.
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Exponential Absolute Stability of Discrete Systems
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1971AbstractFür die absolute exponentielle Stabilität nichtlinearer diskreter Systeme vom Lurje‐Typ werden hinreichende Bedingungen formuliert. Durch einen Grenzprozeß werden sie auf diejenigen für die absolute exponentielle Stabilität stetiger Systeme zurückgeführt.
Shilyak, Dragoslav, Sun, C. K.
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