Results 31 to 40 of about 698 (72)
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
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
On convergence of infinite matrix products with alternating factors from two sets of matrices
, 2018 We consider the problem of convergence to zero of matrix products $A_{n}B_{n}\cdots A_{1}B_{1}$ with factors from two sets of matrices, $A_{i}\in\mathscr{A}$ and $B_{i}\in\mathscr{B}$, due to a suitable choice of matrices $\{B_{i}\}$.
Kozyakin, Victor
core +2 more sources
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
A Semigroup associated to a linear control system on a Lie group
, 2016 Let us consider a linear control system \Sigma on a connected Lie group G. It is known that the accessibility set A from the identity e is in general not a semigroup. In this article we associate a new algebraic object S to \Sigma which turns out to be a
Ayala, Victor, da Silva, Adriano
core +1 more source
Approximate controllability of neutral functional differential system with unbounded delay
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 12, Page 737-744, 2001., 2001 We consider a class of control systems governed by the neutral functional differential equation with unbounded delay and study the approximate controllability of the system. An example is given to illustrate the result.
Jong Yeoul Park, Sang Nam Kang
wiley +1 more source
Empirical balanced truncation of nonlinear systems
, 2006 Novel constructions of empirical controllability and observability gramians for nonlinear systems for subsequent use in a balanced truncation style of model reduction are proposed.
Condon, Marissa, Ivanov, Rossen I.
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Controllability of semilinear stochastic evolution equations in Hilbert space
International Journal of Stochastic Analysis, Volume 14, Issue 4, Page 329-339, 2001., 2001 Controllability of semilinear stochastic evolution equations is studied by using stochastic versions of the well‐known fixed point theorem and semigroup theory. An application to a stochastic partial differential equation is given.
P. Balasubramaniam, J. P. Dauer
wiley +1 more source
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
doaj +1 more source