Robust stability and stabilization of a class of uncertain nonlinear systems with delays.
Mahmoud, Magdi S. (1998)
Mathematical Problems in Engineering
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Mahmoud, Magdi S. (1998)
Mathematical Problems in Engineering
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Pin-Lin Liu (2005)
International Journal of Applied Mathematics and Computer Science
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This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.
Jean-Michel Dion, Luc Dugard, Silviu-Iulian Niculescu (2001)
Kybernetika
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Zong, Guangdeng, Hou, Linlin, Yang, Hongyong (2009)
Mathematical Problems in Engineering
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Kostas Hrissagis, Olga I. Kosmidou (1998)
Kybernetika
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The robust stabilization of uncertain systems with delays in the manipulated variables is considered in this paper. Sufficient conditions are derived that guarantee closed-loop stability under state-feedback control in the presence of nonlinear and/or time-varying perturbations. The stability conditions are given in terms of scalar inequalities and do not require the solution of Lyapunov or Riccati equations. Instead, induced norms and matrix measures are used to yield some easy to test...
Mehdi, D., Boukas, E.K. (2003)
Mathematical Problems in Engineering
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de la Sen, M. (2006)
Discrete Dynamics in Nature and Society
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Kojiro Ikeda, Takehito Azuma, Kenko Uchida (2001)
Kybernetika
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This paper considers an analysis and synthesis problem of controllers for linear time-delay systems in the form of delay-dependent memory state feedback, and develops an Linear Matrix Inequality (LMI) approach. First, we present an existence condition and an explicit formula of controllers, which guarantee a prescribed level of gain of closed loop systems, in terms of infinite-dimensional LMIs. This result is rather general in the sense that it covers, as special cases, some known...