A modified van der Pol equation with delay in a description of the heart action
Beata Zduniak, Marek Bodnar, Urszula Foryś (2014)
International Journal of Applied Mathematics and Computer Science
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Beata Zduniak, Marek Bodnar, Urszula Foryś (2014)
International Journal of Applied Mathematics and Computer Science
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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.
Bao-Zhu Guo, Cheng-Zhong Xu, Hassan Hammouri (2012)
ESAIM: Control, Optimisation and Calculus of Variations
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The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stability of closed-loop system achieved by some stabilizing output feedback laws may be destroyed by whatever small time delay there exists in observation. In this paper, we are concerned with a particularly interesting case: Boundary output feedback stabilization of a one-dimensional wave equation system...
Jean-Michel Dion, Luc Dugard, Silviu-Iulian Niculescu (2001)
Kybernetika
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Mahmoud, Magdi S., Xie, Lihua (2001)
Mathematical Problems in Engineering
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Amel Benabdallah (2015)
Kybernetika
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In this paper, we establish a separation principle for a class of time-delay nonlinear systems satisfying some relaxed triangular-type condition. Under delay independent conditions, we propose a nonlinear time-delay observer to estimate the system states, a state feedback controller and we prove that the observer-based controller stabilizes the system.
Mahmoud, Magdi S. (1998)
Mathematical Problems in Engineering
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Alfredo Germani, Costanzo Manes, Pierdomenico Pepe (2000)
Kybernetika
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This paper considers the problem of output control of nonlinear delay systems by means of state delayed feedback. In previous papers, through the use of a suitable formalism, standard output control problems, such as output regulation, trajectory tracking, disturbance decoupling and model matching, have been solved for a class of nonlinear delay systems. However, in general an output control scheme does not guarantee internal stability of the system. Some results on this issue are presented...
Mai Viet Thuan, Vu Ngoc Phat, Hieu Trinh (2012)
International Journal of Applied Mathematics and Computer Science
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This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, a delay-dependent...