Results 21 to 30 of about 97 (91)

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
doaj   +1 more source

Boundedness control sets for linear systems on Lie groups

Open Mathematics, 2018
Let Σ be a linear system on a connected Lie group G and assume that the reachable set 𝓐 from the identity element e ∈ G is open. In this paper, we give an algebraic condition to warrant the boundedness of the existent control set with a nonempty interior
Ayala Víctor, Todco María Torreblanca
doaj   +1 more source

On Carleman and observability estimates for wave equations on time‐dependent domains

Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019
Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
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
wiley   +1 more source

Controllability of some bilinear and semilinear parabolic problems

Moroccan Journal of Pure and Applied Analysis, 2019
We present in this paper a survey of recent results on the controllability of the parabolic system governed by bilinear control. We first discuss the problem of global controllability which corresponds to the question of whether the solution of the ...
Khayar M. Jidou
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SOME CONTROLLABILITY RESULTS FOR LINEARIZED COMPRESSIBLE NAVIER-STOKES SYSTEM. [PDF]

, 2015
. In this article, we study the null controllability of linearized compressible Navier-Stokes system in one and two dimension. We first study the one-dimensional compressible Navier-Stokes system for non-barotropic fluid linearized around a constant ...
Debayan Maity, Maity, Debayan
core   +1 more source

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

Bilinear characterizations of companion matrices

Special Matrices, 2014
Companion matrices of the second type are characterized by properties that involve bilinear maps.
Lin Minghua, Wimmer Harald K.
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Existence of solutions and controllability of nonlinear integrodifferential systems in Banach spaces

Mathematical Problems in Engineering, Volume 2003, Issue 2, Page 65-79, 2003., 2003
We prove the existence of mild and strong solutions of integrodifferential equations with nonlocal conditions in Banach spaces. Further sufficient conditions for the controllability of integrodifferential systems are established. The results are obtained by using the Schauder fixed‐point theorem. Examples are provided to illustrate the theory.
K. Balachandran, J. Y. Park
wiley   +1 more source

Approximate controllability of semilinear neutral systems in Hilbert spaces

International Journal of Stochastic Analysis, Volume 16, Issue 3, Page 233-242, 2003., 2003
The approximate controllability of semilinear neutral systems in Hilbert spaces is studied using the Schauder fixed point theorem. It is shown that the approximate controllability of the semilinear system under some conditions is implied by the approximate controllability of its linear part.
N. I. Mahmudov, S. Zorlu
wiley   +1 more source