Results 1 to 10 of about 33 (33)
Uniform stabilization for a strongly coupled semilinear/linear system
Advanced Nonlinear Studies, 2022 In this manuscript, we analyze the exponential stability of a strongly coupled semilinear system of Klein-Gordon type, posed in an inhomogeneous medium Ω\Omega , subject to local dampings of different natures distributed around a neighborhood of the ...
Cavalcanti Marcelo M. +4 more
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Distinguishability criteria of conformable hybrid linear systems
Nonlinear Engineering, 2022 We relate this article to the emerging idea of distinguishability of conformable linear hybrid time-invariant control systems. To obtain the necessary and sufficient conditions of α\alpha -distinguishability for fractional cases, we develop the Leibnitz ...
Younus Awais +5 more
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Theoretical observers for infinite dimensional skew-symmetric systems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The observer construction has a main importance in the control theory and its applications for the systems of infinite dimension. Even if the system’ state has an infinite dimension, its estimation is given using some physical measures of finite ...
Judicael Deguenon, Barbulescu Alina
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Sliding mode observers and observability singularity in chaotic synchronization
Mathematical Problems in Engineering, Volume 2004, Issue 1, Page 11-31, 2004., 2004 We present a new secured data transmission based on a chaotic synchronization and observability singularity. For this, we adopt an approach based on an inclusion of the message in the system structure and we use a sliding mode observer for system with unknown input in order to recover the information.
L. Boutat-Baddas +3 more
wiley +1 more source
Integral observability operators of nonlinear dynamical systems
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 55, Page 3519-3538, 2003., 2003 In terms of functional dependence, the description of observable functions in nonlinear dynamical systems, which are analytic with respect to phase variables, is obtained. For processing of measurements, integral operators are used, which provide certain noise stability of operation of phase state reconstruction.
Yury V. Zaika
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Interval estimates of functionals in time‐delay systems with uncertainty
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 56, Page 3573-3590, 2003., 2003 We consider a linear dynamical system with delay and uncertainty in initial data and movement and measurement equations. We present an algorithm of estimating an interval of possible values of functionals on solutions. We construct suboptimal weight functions in integral observation operators to minimize a sure estimation.
Yury V. Zaika
wiley +1 more source
Interior point control and observation for the wave equation
Abstract and Applied Analysis, Volume 1, Issue 2, Page 219-236, 1996., 1996 This paper is concerned with the approximate and exact controllability properties of the wave equation with interior point controls entering via the concentrated force, the velocity of the displacement and the moment. The emphasis is given to the moving point controls and their dual observations whose advantages and disadvantages, versus the static ...
A. Y. Khapalov
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Null controllability for a degenerate population model in divergence form via Carleman estimates
Advances in Nonlinear Analysis, 2019 In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman estimates.
Fragnelli Genni
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Advances in Nonlinear Analysis, 2017 We establish Carleman estimates for singular/degenerate parabolic Dirichlet problems with degeneracy and singularity occurring in the interior of the spatial domain.
Fragnelli Genni, Mugnai Dimitri
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Observability on the classes of non-nilpotent solvable three-dimensional Lie groups
Open MathematicsIn control theory, researchers need to understand a system’s local and global behaviors in relation to its initial conditions. When discussing observability, the main focus is on the ability to analyze the system using an output space defined by an ...
Ayala Victor +2 more
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