On a class of non-linear parabolic control systems with memory effects

K Sakthivel, K Balachandran… - International Journal of …, 2008 - Taylor & Francis
This work establishes the local exact null controllability of non-linear parabolic
integrodifferential equations with non-linearities under the integral sign in a bounded …

[HTML][HTML] Carleman estimate for an adjoint of a damped beam equation and an application to null controllability

S Mitra - Journal of Mathematical Analysis and Applications, 2020 - Elsevier
In this article we consider a control problem of a linear Euler-Bernoulli damped beam
equation with potential in dimension one with periodic boundary conditions. We derive a …

[PDF][PDF] Linear systems with persistent memory: An overview of the biblography on controllability

L Pandolfi - arXiv preprint arXiv:1804.01865, 2018 - arxiv.org
arXiv:1804.01865v1 [math.OC] 5 Apr 2018 Linear systems with persistent memory: An
overview of the biblography on controllabili Page 1 arXiv:1804.01865v1 [math.OC] 5 Apr 2018 …

Controllability results of linear parabolic integrodifferential equations

R Lavanya, K Balachandran - Differential and Integral Equations, 2008 - projecteuclid.org
In this paper we analyze the controllability properties of a linear parabolic integrodifferential
equation with homogeneous Dirichlet boundary conditions. Our method relies on the …

[HTML][HTML] RETRACTED: Exact controllability of partial integrodifferential equations with mixed boundary conditions

K Sakthivel, K Balachandran, R Lavanya - 2007 - Elsevier
In this work the exact controllability of linear parabolic integrodifferential equations with
mixed boundary conditions are studied. Carleman estimate for the linearized problem …

Null controllability of a nonlinear diffusion system in reactor dynamics

K Sakthivel, K Balachandran, JY Park, G Devipriya - Kybernetika, 2010 - dml.cz
In this paper, we prove the exact null controllability of certain diffusion system by rewriting it
as an equivalent nonlinear parabolic integrodifferential equation with variable coefficients in …

On exact null controllability of Black-Scholes equation

K Sakthivel, K Balachandran, R Sowrirajan, JH Kim - Kybernetika, 2008 - dml.cz
In this paper we discuss the exact null controllability of linear as well as nonlinear Black–
Scholes equation when both the stock volatility and risk-free interest rate influence the stock …

Controllability properties for equations with memory of fractional type

L Pandolfi - Applied Mathematics & Optimization, 2021 - Springer
We study a general class of control systems with memory, which in particular includes
systems with fractional derivatives and integrals as well as the standard heat equation. We …

Uniqueness and stability in inverse parabolic equations with memory

N Baranibalan, K Sakthivel, K Balachandran - Nonlinear Analysis: Hybrid …, 2008 - Elsevier
First we establish a Carleman estimate for parabolic equations with second order spatial
memory. Then we prove the stability results for the coefficient q from a measurement of the …

Determination of a source term in a partial differential equation arising in finance

R Sowrirajan, K Balachandran - Applicable Analysis, 2009 - Taylor & Francis
Full article: Determination of a source term in a partial differential equation arising in finance Skip
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