Exact stability regions for linear difference equations with three parameters.
Cheng, Sui Sun, Lin, Yi-Zhong (2006)
Applied Mathematics E-Notes [electronic only]
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Cheng, Sui Sun, Lin, Yi-Zhong (2006)
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Advances in Difference Equations [electronic only]
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Kaewong, T., Lenbury, Y., Niamsup, P. (2005)
International Journal of Mathematics and Mathematical Sciences
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López-Renteria, Jorge-Antonio, Aguirre-Hernández, Baltazar, Verduzco, Fernando (2011)
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Milan Hofreiter, Pavel Zítek (2003)
International Journal of Applied Mathematics and Computer Science
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Currently used stability criteria for linear sampled-data systems refer to the standard linear difference equation form of the system model. This paper presents a stability criterion based on the argument increment rule modified for the delta operator form of the sampled-data model. For the asymptotic stability of this system form it is necessary and sufficient that the roots of the appropriate characteristic equation lie inside a circle in the left half of the complex plane, the radius...
Lin, Yizhong (2001)
Applied Mathematics E-Notes [electronic only]
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K. Peiffer (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Guang-Da Hu (2011)
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In this paper, stability of linear neutral systems with distributed delay is investigated. A bounded half circular region which includes all unstable characteristic roots, is obtained. Using the argument principle, stability criteria are derived which are necessary and sufficient conditions for asymptotic stability of the neutral systems. The stability criteria need only to evaluate the characteristic function on a straight segment on the imaginary axis and the argument on the boundary...
Kipnis, M.M., Malygina, V.V. (2011)
International Journal of Mathematics and Mathematical Sciences
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