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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Mahmoud, Magdi S., Xie, Lihua (2001)
Mathematical Problems in Engineering
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Mehdi, D., Boukas, E.K. (2003)
Mathematical Problems in Engineering
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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...
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.
de la Sen, M. (2006)
Discrete Dynamics in Nature and Society
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Leite, Valter J.S., Miranda, Márcio F. (2008)
Mathematical Problems in Engineering
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Echi Nadhem, Amel Benabdallah (2019)
Kybernetika
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In this paper, we address the strong practical stabilization problem for a class of uncertain time delay systems with a nominal part written in triangular form. We propose, firstly, a strong practical observer. Then, we show that strong practical stability of the closed loop system with a linear, parameter dependent, state feedback is achieved. Finally, a separation principle is established, that is, we implement the control law with estimate states given by the strong practical observer...