Results 21 to 30 of about 75 (75)

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

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

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
doaj   +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

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.
doaj   +1 more source

Local exact controllability of the diffusion equation in one dimension

Abstract and Applied Analysis, Volume 2003, Issue 14, Page 793-811, 2003., 2003
This paper establishes the local exact null controllability of the diffusion equation in one dimension using distributed controls in the case of the Dirichlet boundary value problem. Most of the techniques used in the course of the proof are borrowed from Barbu (2002).
Marius Beceanu
wiley   +1 more source

On controllability, parametrization, and output tracking of a linearized bioreactor model

Journal of Applied Mathematics, Volume 2003, Issue 5, Page 243-276, 2003., 2003
The paper deals with a distributed parameter system related to the so‐called fixed‐bed bioreactor. The original nonlinear partial differential system is linearized around the steady state. We find that the linearized system is not exactly controllable but it is approximatively controllable when certain algebraic equations hold.
J. Tervo, M. T. Nihtilä, P. Kokkonen
wiley   +1 more source

On the Lyapunov equation in Banach spaces and applications to control problems

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 155-166, 2002., 2002
By extending the Lyapunov equation A*Q + QA = −P to an arbitrary infinite‐dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null‐controllability is established.
Vu Ngoc Phat, Tran Tin Kiet
wiley   +1 more source

Null controllability of a nonlinear heat equation

Abstract and Applied Analysis, Volume 7, Issue 7, Page 375-383, 2002., 2002
We study the internal exact null controllability of a nonlinear heat equation with homogeneous Dirichlet boundary condition. The method used combines the Kakutani fixed‐point theorem and the Carleman estimates for the backward adjoint linearized system. The result extends to the case of boundary control.
G. Aniculăesei, S. Aniţa
wiley   +1 more source

Null controllability of a thermoelastic plate

Abstract and Applied Analysis, Volume 7, Issue 11, Page 585-599, 2002., 2002
Thermoelastic plate model with a control term in the thermal equation is considered. The main result in this paper is that with thermal control, locally distributed within the interior and square integrable in time and space, any finite energy solution can be driven to zero at the control time T.
Assia Benabdallah, Maria Grazia Naso
wiley   +1 more source