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

DOI10.1080/00207170701447114zbMath1152.93312OpenAlexW2011553038MaRDI QIDQ3543007

Kumarasamy Sakthivel, B. R. Nagaraj, Krishnan Balachandran

Publication date: 1 December 2008

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170701447114

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear parabolic equations (35K55) Control/observation systems governed by functional-differential equations (93C23) Initial-boundary value problems for second-order parabolic equations (35K20) Linearizations (93B18)

Related Items (21)

On the null controllability of heat equation with memory ⋮ Optimal control of parabolic differential inclusions in one space dimension ⋮ Reconstruction of two time independent coefficients in an inverse problem for a phase field system ⋮ The stability and exponential stabilization of the heat equation with memory ⋮ Approximate controllability of a parabolic integrodifferential equation ⋮ Null controllability for a degenerate population equation with memory ⋮ Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations ⋮ Approximate controllability of a parabolic equation with memory ⋮ Controllability of the impulsive semilinear heat equation with memory and delay ⋮ Unnamed Item ⋮ On the null controllability of parabolic equations with nonlinear memory ⋮ Robust and nonlinear control literature survey (No. 7) ⋮ Approximate controllability of a parabolic integro-differential equation with nonconstant memory kernel under a weak constraint condition ⋮ Controllability for parabolic equations with nonlinear memory ⋮ Controllability of a Reaction-Diffusion System Describing Predator–Prey Model ⋮ Exact controllability of nonlinear diffusion equations arising in reactor dynamics ⋮ Uniqueness and stability in inverse parabolic equations with memory ⋮ Wavelet based iterative methods for a class of 2D-partial integro differential equations ⋮ On the backward problem for parabolic equations with memory ⋮ Exact null controllability of a semilinear parabolic equation arising in finance ⋮ Numerical approximate controllability for unidimensional parabolic integro-differential equations

Cites Work

• On a nonlinear diffusion system arising in reactor dynamics
• Exact controllability of partial integrodifferential equations with mixed boundary conditions
• Controllability and observability theory of certain parabolic integrodifferential equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Nonlinear Volterra integrodifferential equations
• The Carleman inequality and its application to periodic optimal control governed by semilinear parabolic differential equations
• Exact controllability of the superlinear heat equation
• Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms
• Exact controllability for semilinear parabolic equations with Neumann boundary conditions
• Bifurcation analysis on a nonlinear diffusion system in reactor dynamics
• Approximate Controllability of a Semilinear Heat Equation in $\Bbb R^N$
• Approximate controllability of a semilinear heat equation in unbounded domains
• On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
• Controllability of parabolic equations
• Null controllability of nonlinear convective heat equations

This page was built for publication: On a class of non-linear parabolic control systems with memory effects