Results 41 to 50 of about 188 (113)
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
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, 2013 In this manuscript, we study the sufficient conditions for controllability for fractional functional integro-differential systems involving the Caputo fractional derivative of order α∈(0,1] in Banach spaces.
C. Ravichandran, D. Baleanu
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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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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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Controllability of second order discrete-time descriptor systems
E S A I M: Control, Optimisation and Calculus of VariationsThis paper is mainly devoted to the controllability of second order discrete-time descriptor systems. Characterizations for different controllability concepts are derived and feedback designs are investigated by transforming the system into an ...
Ha T. Phi, Do Duc Thuan
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On reachability and controllability for a Volterra integro-dynamic system on time scales [PDF]
The paper studies and relates the notions of reachability and controllability for the Volterra integro-dynamic system on time scales. More specifically, we obtain necessary and sufficient conditions for reachability and controllability.
DOS SANTOS, Iguer Luis Domini +2 more
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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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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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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
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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