LMI conditions for robust stability of 2D linear discrete-time systems.
Hmamed, A., Alfidi, M., Benzaouia, A., Tadeo, F. (2008)
Mathematical Problems in Engineering
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Displaying similar documents to “On some relaxations commonly used in the study of linear systems”
LMI conditions for robust stability of 2D linear discrete-time systems.
New bounds for robust stability of continuous and discrete-time systems under parametric uncertainty
Ioannis K. Konstantopoulos, Panos J. Antsaklis (1995)
Kybernetika
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Design of unknown input fractional-order observers for fractional-order systems
Ibrahima N'Doye, Mohamed Darouach, Holger Voos, Michel Zasadzinski (2013)
International Journal of Applied Mathematics and Computer Science
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This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach,...
Stability of Caputo fractional differential equations by Lyapunov functions
Ravi P. Agarwal, Donal O&#039;Regan, Snezhana Hristova (2015)
Applications of Mathematics
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The stability of the zero solution of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov-like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov-like function along the given fractional equation. Comparison results using this definition for scalar fractional differential equations are presented. Several sufficient conditions for stability, uniform stability and asymptotic uniform stability, based...
Robust performance results for discrete-time systems.
Mahmoud, Magdi S. (1998)
Mathematical Problems in Engineering
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Robust stabilization of fractional-order systems with interval uncertainties via fractional-order controllers.
Delshad, Saleh Sayyad, Asheghan, Mohammad Mostafa, Beheshti, Mohammadtaghi Hamidi (2010)
Advances in Difference Equations [electronic only]
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Robust pole placement for second-order systems: an LMI approach
Didier Henrion, Michael Šebek, Vladimír Kučera (2005)
Kybernetika
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Based on recently developed sufficient conditions for stability of polynomial matrices, an LMI technique is described to perform robust pole placement by proportional-derivative feedback on second-order linear systems affected by polytopic or norm-bounded uncertainty. As illustrated by several numerical examples, at the core of the approach is the choice of a nominal, or central quadratic polynomial matrix.