Piotr Grabowski, Frank M. Callier (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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A corrected version of [P. Grabowski and F.M. Callier, (2006) 169–197], Theorem 4.1, p. 186, and Example, is given.
Hartmut Logemann, Eugene P. Ryan, Ilya Shvartsman (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper is concerned with integral control of systems with hysteresis. Using an input-output approach, it is shown that application of integral control to the series interconnection of either (a) a hysteretic input nonlinearity, an -stable, time-invariant linear system and a non-decreasing globally Lipschitz static output nonlinearity, or (b) an -stable, time-invariant linear system and a hysteretic output nonlinearity, guarantees, under certain assumptions,...
Piotr Grabowski, Frank Callier (2001)
International Journal of Applied Mathematics and Computer Science
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A circle criterion is obtained for a SISO Lur’e feedback control system consist- ing of a nonlinear static sector-type controller and a linear boundary control system in factor form on an infinite-dimensional Hilbert state space H previ- ously introduced by the authors (Grabowski and Callier, 1999). It is assumed for the latter that (a) the observation functional is infinite-time admissible, (b) the factor control vector satisfies a compatibility condition, and (c) the trans- fer function...
Hamid Bounit (2003)
International Journal of Applied Mathematics and Computer Science
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In this paper we examine the stability of an irrigation canal system. The system considered is a single reach of an irrigation canal which is derived from Saint-Venant's equations. It is modelled as a system of nonlinear partial differential equations which is then linearized. The linearized system consists of hyperbolic partial differential equations. Both the control and observation operators are unbounded but admissible. From the theory of symmetric hyperbolic systems, we derive the...
Elharfi, Abdelhadi (2010)
Mathematical Problems in Engineering
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Pandolfi, L. (1998)
Rendiconti del Seminario Matematico
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Wanyi Chen, Fengsheng Tu (1997)
Collectanea Mathematica
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This note focuses on the study of robust H-sub-infinity control design for a kind of distributed parameter systems in which time-varying norm-bounded uncertainty enters the state and input operators. Through a fixed Lyapunov function, we present a state feedback control which stabilizes the plant and guarantees an H-sub-infinity norm bound on disturbance attenuation for all admissible uncertainties. In the process, we generalize some known results for finite dimensional linear systems....
El Zerrik, Mohamed Ouzahra (2005)
International Journal of Applied Mathematics and Computer Science
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The purpose of this paper is to extend results on regional internal stabilization for infinite bilinear systems to the case where the subregion of interest is a part of the boundary of the system evolution domain. Then we characterize either stabilizing control on a boundary part, or the one minimizing a given cost of performance. The obtained results are illustrated with numerical examples.