Results 1 to 10 of about 289 (31)

Uniform stabilization for a strongly coupled semilinear/linear system

open access: yesAdvanced 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
doaj   +1 more source

Distinguishability criteria of conformable hybrid linear systems

open access: yesNonlinear 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
doaj   +1 more source

Theoretical observers for infinite dimensional skew-symmetric systems

open access: yesAnalele 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
doaj   +1 more source

Perturbation theory of observable linear systems [PDF]

open access: yes, 2015
The present work is motivated by the asymptotic control theory for a system of linear oscillators: the problem is to design a common bounded scalar control for damping all oscillators in asymptotically minimal time.
Fedorov, Aleksey, Ovseevich, Alexander
core   +1 more source

Sliding mode observers and observability singularity in chaotic synchronization

open access: yesMathematical 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

Observation of vibrating systems at different time instants [PDF]

open access: yes, 2013
In this paper, we obtain new observability inequalities for the vibrating string. This work was motivated by a recent paper by A. Szij\'art\'o and J. Heged\H{u}s in which the authors ask the question of determining the initial data by only knowing the ...
Vest, Ambroise
core   +5 more sources

Integral observability operators of nonlinear dynamical systems

open access: yesInternational 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
wiley   +1 more source

A hyperbolic system and the cost of null controllability for the Stokes system [PDF]

open access: yes, 2014
This paper is devoted to study the cost of the null controllability for the Stokes system. Using the control transmutation method we show that the cost of driving the Stokes system to rest at time T is of order e^C/T when T -->0^+,i.e., the same order as
Chaves-Silva, F. W.
core   +5 more sources

Interval estimates of functionals in time‐delay systems with uncertainty

open access: yesInternational 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

open access: yesAbstract 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
wiley   +1 more source

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