Results 31 to 40 of about 97 (91)
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
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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
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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
core
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
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 This manuscript involves a class of first-order controllability results for nonlocal non-autonomous neutral differential systems with non-instantaneous impulses in the space n. Sufficient conditions guaranteeing the controllability of mild solutions are
Kavitha Velusamy +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper is devoted to the analysis of controllability for a class of backward fractional integro‐differential equations involving history‐dependent operators, which arise naturally in systems with memory effects. The study begins with the formulation of an appropriate functional framework, within which the concept of approximate controllability is ...
Ghadah Albeladi +2 more
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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
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates the existence of mild solutions and optimal controls for a class of second‐order delayed neutral nonautonomous evolution systems involving hemivariational inequalities, history‐dependent operators, and Clarke′s generalized subdifferential in Hilbert spaces. The novelty of the proposed framework lies in the simultaneous treatment
Hasanen A. Hammad +3 more
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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
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Controllability and Modeling Perspectives of Tempered Ψ‐Caputo Fractional Systems
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this article, we investigated the controllability of fractional dynamical systems (FDS) involving the tempered Ψ‐Caputo fractional derivative (FD). First, we derived the solution representation for this generalized FD with the help of Laplace transform and Mittag–Leffler (M‐L) function.
Inzamamul Haque +3 more
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