On Hales-Jewett's theorem.
Pirillo, Giuseppe (1986)
Séminaire Lotharingien de Combinatoire [electronic only]
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Pirillo, Giuseppe (1986)
Séminaire Lotharingien de Combinatoire [electronic only]
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Yali Dong, Jinying Liu, Shengwei Mei (2013)
Kybernetika
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The problem of observer design for a class of nonlinear discrete-time systems with time-delay is considered. A new approach of nonlinear observer design is proposed for the class of systems. Based on differential mean value theory, the error dynamic is transformed into linear parameter variable system. By using Lyapunov stability theory and Schur complement lemma, the sufficient conditions expressed in terms of matrix inequalities are obtained to guarantee the observer error converges...
Martin Balazovjech, Ladislav Halada (2013)
Kybernetika
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We introduce a new efficient way of computation of partial differential equations using a hybrid method composed from FEM in space and FDM in time domain. The overall computational scheme is explicit in time. The key idea of the suggested way is based on a transformation of standard basis functions into new basis functions. The results of this matrix transformation are e-invariants (effective invariants) with such suitable properties which save the number of arithmetical operations needed...
Lyul'ko, N. A. (2002)
Sibirskij Matematicheskij Zhurnal
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Li Ma, Meimei Xu, Ruting Jia, Hui Ye (2014)
Kybernetika
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This paper is concerned with the exponential filter design problem for stochastic Markovian jump systems with time-varying delays, where the time-varying delays include not only discrete delays but also distributed delays. First of all, by choosing a modified Lyapunov-Krasovskii functional and employing the property of conditional mathematical expectation, a novel delay-dependent approach is developed to deal with the mean-square exponential stability problem and control problem....
Zhurtov, A.Kh. (2001)
Sibirskij Matematicheskij Zhurnal
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