Найдено научных статей и публикаций: 3, для научной тематики: Observability
1.
K.Sakthivel, G.Devipriya, K.Balachandran, J.-H.Kim
- Numerical Functional Analysis and Optimization , 2010
This article establishes the controllability to the trajectories of a reaction-diffusion-advection
system describing predator–prey model by using distributed controls acting on a single equation
with the no-flux boundary conditions. We first prove the exact null controllability of an
associated linear...
This article establishes the controllability to the trajectories of a reaction-diffusion-advection
system describing predator–prey model by using distributed controls acting on a single equation
with the no-flux boundary conditions. We first prove the exact null controllability of an
associated linearized problem by establishing an observability estimate, derived from a global
Carleman type inequality, for the adjoint system. The proof of the nonlinear problem relies on
the suitable regularity of the control and Kakutani’s fixed point theorem.
2.
K. Sakthivel, G. Devipriya, K. Balachandran and J.-H. Kim
- nonlinear analysis- hybrid systems , 2009
This paper is concerned with the exact null controllability of certain semilinear Black–Scholes type equations in a bounded interval of with Neumann boundary conditions. The control is assumed to be distributed along a subset ω of I. First, we prove the exact null controllability of an associated l...
This paper is concerned with the exact null controllability of certain semilinear Black–Scholes type equations in a bounded interval of with Neumann boundary conditions. The control is assumed to be distributed along a subset ω of I. First, we prove the exact null controllability of an associated linearized problem by establishing the observability estimate derived from a Carleman type inequality which is the key result for the whole theory. Then, the exact null controllability of the nonlinear problem is discussed using the infinite-dimensional Kakutani fixed point theorem.
3.
Kumarasamy Sakthivel; Krishnan Balachandran; Jong-Yeoul Park; Ganeshan Devipriya
- Kybernetika , 2010
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 a bounded interval of R with a distributed control acting on a subinterval.
We first prove a global null contr...
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 a bounded interval of R with a distributed control acting on a subinterval.
We first prove a global null controllability result of an associated linearized integrodifferential equation by establishing a suitable observability estimate for adjoint system with
appropriate assumptions on the coefficients. Then this result is successfully used with some
estimates for parabolic equation in L^k
spaces together with classical fixed point theorem,
to prove the null controllability of the nonlinear model.