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Time minimal control of batch reactors

B. Bonnard, G. Launay (2010)

ESAIM: Control, Optimisation and Calculus of Variations

 In this article we consider a control system modelling a batch reactor in which three species X1, X2, X3 are reacting according to the scheme X1 → X2 → X3, each reaction being irreversible. The control is the temperature T of the reactions or the derivative of this temperature with respect to time. The terminal constraint is to obtain a given concentration of the product X2 at the end of the batch. The objective of our study is to introduce and to apply all the mathematical tools to compute the...

Time minimal synthesis with target of codimension one under generic conditions

B. Bonnard, M. Pelletier (1995)

Banach Center Publications

We consider the problem of constructing the optimal closed loop control in the time minimal control problem, with terminal constraint belonging to a manifold of codimension one, for systems of the form $v ̇ = X + u Y$ , $| u | \leq 1$ and $v \in R^{2}$ or $R^{3}$ , under generic assumptions. The analysis is localized near the terminal manifold and is developed to control a class of chemical systems.

Time-optimal control of plants whose transfer functions contain zeros

R. Gessing (1971)

Applicationes Mathematicae

Topological dual of $B_{\infty} (I, ₁ (X, Y))$ with application to stochastic systems on Hilbert space

N.U. Ahmed (2009)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper, we prove that the topological dual of the Banach space of bounded measurable functions with values in the space of nuclear operators, furnished with the natural topology, is isometrically isomorphic to the space of finitely additive linear operator-valued measures having bounded variation in a Banach space containing the space of bounded linear operators. This is then applied to a stochastic structural control problem. An optimal operator-valued measure, considered as the structural...

Topology optimization - broadening the areas of application

Martin Bendsøe, Erik Lund, Niels Olhoff, Ole Sigmund (2005)

Control and Cybernetics

Tracking an omnidirectional evader with a differential drive robot at a bounded variable distance

Ubaldo Ruiz, Jose Marroquin, Rafael Murrieta-Cid (2014)

International Journal of Applied Mathematics and Computer Science

Transfer function equivalence of feedback/feedforward compensators

Vladimír Kučera (1998)

Kybernetika

Equivalence of several feedback and/or feedforward compensation schemes in linear systems is investigated. The classes of compensators that are realizable using static or dynamic, state or output feedback are characterized. Stability of the compensated system is studied. Applications to model matching are included.

Transportation flow problems with Radon measure variables

Marcus Wagner (2000)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

For a multidimensional control problem ${(P)}_{K}$ involving controls $u \in L_{\infty}$ , we construct a dual problem ${(D)}_{K}$ in which the variables ν to be paired with u are taken from the measure space rca (Ω,) instead of $(L_{\infty}) *$ . For this purpose, we add to ${(P)}_{K}$ a Baire class restriction for the representatives of the controls u. As main results, we prove a strong duality theorem and saddle-point conditions.

Two functionals for which $C_{0}^{1}$ minimizers are also $W_{0}^{1, p}$ minimizers.

Li, Yanming, Xuan, Benjin (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Displaying 21 – 29 of 29

Currently displaying 21 – 29 of 29