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Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations

Journal Des Mathematiques Pures Et Appliquees, 2000
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Enrique Zuazua
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Null controllability and exact controllability for parabolic equations

Lecture Notes in Control and Information Sciences, 2006
Which functions can be final states of a system described by a homogeneous parabolic differential equation? For inhomogeneous boundary conditions this is the problem of characterizing the set R of states reachable by boundary control. We construct more spaces of reachable states.
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Exact null controllability of a semilinear parabolic equation arising in finance

Nonlinear Analysis: Hybrid Systems, 2009
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Krishnan Balachandran, K Sakthivel
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Exact Null Controllability of a Nonlinear Thermoelastic Contact Problem

Applied Mathematics and Optimization, 2004
We study the controllability properties of a nonlinear parabolic system that models the temperature evolution of a one-dimensional thermoelastic rod that may come into contact with a rigid obstacle. Basically the system dynamics is described by a one-dimensional nonlocal heat equation with a nonlinear and nonlocal boundary condition of Newmann type. We
Irina F. Sivergina, Michael P. Polis
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A Remark on Null Exact Controllability of the Heat Equation

SIAM Journal on Control and Optimization, 2001
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Exact null controllability of non-autonomous functional evolution systems with nonlocal conditions

Acta Mathematica Scientia, 2013
Abstract In this article, by using theory of linear evolution system and Schauder fixed point theorem, we establish a sufficient result of exact null controllability for a non-autonomous functional evolution system with nonlocal conditions. In particular, the compactness condition or Lipschitz condition for the function g in the nonlocal conditions
Xianlong FU
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Concerning the exact null controllability of a nonlinear thermoelastic plate

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Exact null-controllability of evolution equations by smooth scalar distributed controls and applications to controllability of interconnected systems

Applied Mathematics and Computation, 2014
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Exact null controllability of infinite dimensional linear systems via bounded control functions

Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788), 2004
This paper considers the problem of exact null controllability of linear control systems with compact semigroup in non-reflexive state spaces and control spaces. The weak convergence of bounded sequence of control functions with respect to the subspace of the dual space is studied and a lemma for the weak convergence is proved.
null Pengnian Chen, null Huashu Qin, null Kangsheng Liu   +2 more
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Exact null-controllability for the semilinear heat equation with superlinear term and mobile internal controls

Nonlinear Analysis: Theory, Methods & Applications, 2001
The author proves exact null-controllability for the semilinear heat equation with superlinear term and mobile internal controls. It is shown that one has the exact controllability at any positive time, provided that the control support is properly chosen and moves in the domain in a certain way, even when its measure is arbitrarily small at all times.
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