Robust stability and stabilization of a class of uncertain nonlinear systems with delays.
Mahmoud, Magdi S. (1998)
Mathematical Problems in Engineering
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Mahmoud, Magdi S. (1998)
Mathematical Problems in Engineering
Similarity:
Zong, Guangdeng, Hou, Linlin, Yang, Hongyong (2009)
Mathematical Problems in Engineering
Similarity:
Leite, Valter J.S., Miranda, Márcio F. (2008)
Mathematical Problems in Engineering
Similarity:
Kostas Hrissagis, Olga I. Kosmidou (1998)
Kybernetika
Similarity:
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...
Mahmoud, Magdi S., Xie, Lihua (2001)
Mathematical Problems in Engineering
Similarity:
Mohammed Saadni, Driss Mehdi (2005)
International Journal of Applied Mathematics and Computer Science
Similarity:
This paper deals with a class of uncertain systems with time-varying delays and norm-bounded uncertainty. The stability and stabilizability of this class of systems are considered. Linear Matrix Inequalities (LMI) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established.
Ratchagit, K., Phat, Vu N. (2010)
Journal of Inequalities and Applications [electronic only]
Similarity:
Li, Jun, Wu, Weigen, Yuan, Jimin, Tan, Qianrong, Yin, Xing (2010)
Discrete Dynamics in Nature and Society
Similarity:
Pin-Lin Liu (2005)
International Journal of Applied Mathematics and Computer Science
Similarity:
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.
Mai Viet Thuan, Vu Ngoc Phat, Hieu Trinh (2012)
International Journal of Applied Mathematics and Computer Science
Similarity:
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...