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Representation and Control of Infinite Dimensional Systems (Systems & Control: Foundations & Applications)

Alain Bensoussan, +3 more
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The article was published on 2006-12-01 and is currently open access. It has received 89 citations till now. The article focuses on the topics: Representation (systemics).

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Closed-form boundary State feedbacks for a class of 1-D partial integro-differential equations

Andrey Smyshlyaev, +1 more
- 01 Dec 2004 - 
TL;DR: A problem of boundary stabilization of a class of linear parabolic partial integro-differential equations in one dimension is considered using the method of backstepping, avoiding spatial discretization required in previous efforts.

Representation and Control of Infinite Dimensional Systems, 2 nd edition

Alain Bensoussan, +3 more
TL;DR: In this article, the convergence angle of a charged particle probe is adjusted independent of the current in the probe by using an auxiliary condenser lens, which is installed between the objective lens and the aperture.
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Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form

Piermarco Cannarsa, +2 more
- 14 Oct 2008 - 
TL;DR: In this article, the authors give null controllability results for some degenerate parabolic equations in non-divergence form on a bounded interval, where the coefficient of the second order term degenerates at the extreme points of the domain.
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Relaxation methods for mixed-integer optimal control of partial differential equations

Falk M. Hante, +1 more
- 01 May 2013 - 
TL;DR: This work considers integer-restricted optimal control of systems governed by abstract semilinear evolution equations, and yields sufficient conditions such that the optimal value and the optimal state of the relaxed problem can be approximated with arbitrary precision by a control satisfying the integer restrictions.
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Conservative boundary control systems

Jarmo Malinen, +1 more
- 01 Dec 2006 - 
TL;DR: In this paper, the authors studied continuous time linear dynamical systems of boundary control/observation type, satisfying a Green-Lagrange identity, and showed that such systems give rise to a continuous time Livsic-Brodski (system) node with strictly unbounded control and observation operators.