NULL CONTROLLABILITY OF THE STRUCTURALLY DAMPED WAVE EQUATION ON THE TWO-DIMENSIONAL TORUS
, 2019 We investigate the null controllability of the wave equation with a Kelvin-Voigt damping on the two-dimensional torus T 2. We consider a distributed control supported in a moving domain ω(t) with a uniform motion at a constant velocity c = (1, ζ).
Guzmán, Patricio, Rosier, Lionel
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CONTROLLABILITY AND OBSERVABILITY OF MATRIX SYLVESTER SYSTEMS ON TIMESCALES [PDF]
, 2020 This paper presents several fundamental results concerning the controllability and observability criteria for Δ-differential matrix Sylvester system X Δ (t) = A(t) X(t) + X(t) B(t) + F 1 (t) U(t) F 2 * (t), X(t 0 ) = X 0 , with output signal Y(t)= K 1 (t)
Associate Professor, B V Appa Rao
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Interval observer for SIR epidemic model subject to uncertain seasonality
, 2016 International audienceThe issue of state estimation is considered for a SIR model with seasonal variations and uncertainties in the transmission rate.
Bliman, Pierre-Alexandre +1 more
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Trace and observability inequalities for Laplace eigenfunctions on the torus
Forum of Mathematics, SigmaWe investigate trace and observability inequalities for Laplace eigenfunctions on the d-dimensional torus $\mathbb {T}^d$ , with respect to arbitrary Borel measures $\mu $ .
Nicolas Burq +3 more
doaj +1 more source
Observability analysis of navigation systems: lie Derivative approach
Open EngineeringInvestigating the observability of a comprehensive system prior to designing an observer is crucial for determining the accuracy and reliability of the observation model. This model is essential for solving problems related to identification, navigation,
Chu Trong Su, Nguyen Phi Minh
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Constrained Observability for Parabolic Systems [PDF]
, 2011 The objective of this paper is to develop the question of the constrained observability for distributed parabolic system evolving in spatial domain Ω. It consists in the reconstruction of the initial state and must be between two prescribed functions in ...
A Boutoulout, H Bourray, M Baddi
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© Hindawi Publishing Corp. INTERVAL ESTIMATES OF FUNCTIONALS IN TIME-DELAY SYSTEMS WITH UNCERTAINTY
, 2002 We consider a linear dynamical system with delay and uncertainty in initial data and movement and measurement equations. We present an algorithm of estimat-ing an interval of possible values of functionals on solutions.
Yury V. Zaika
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© Hindawi Publishing Corp. INTEGRAL OBSERVABILITY OPERATORS OF NONLINEAR DYNAMICAL SYSTEMS
, 2002 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
Yury V. Zaika
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Linear Systems With Sign-Observations
, 2008 . This paper deals with systems that are obtained from linear time-invariant continuousor discrete-time devices followed by a function that just provides the sign of each output.
Ee Schwarzschild +3 more
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Generalized form of fractional order COVID-19 model with Mittag-Leffler kernel. [PDF]
Math Methods Appl Sci, 2021 Aslam M +4 more
europepmc +1 more source