Projects per year

## Fingerprint Dive into the research topics where Denis Dochain is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 3 Similar Profiles

Trajectories
Engineering & Materials Science

Reactor
Mathematics

Partial differential equations
Engineering & Materials Science

Nonlinear Model
Mathematics

Optimal Control
Mathematics

Chemostat Model
Mathematics

Hyperbolic PDEs
Mathematics

Chemostats
Engineering & Materials Science

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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2018 2020

- 1 Active

## LQ-optimal regulation of nonlinear distributed parameters systems, application to tubular reactors

Hastir, A., Winkin, J. & Dochain, D.

1/10/18 → 30/09/20

Project: Research

## Research Output 1995 2015

## Input/state invariant LQ-optimal control: Application to competitive coexistence in a chemostat

Beauthier, C., Winkin, J. J. & Dochain, D., 1 Jan 2015, In : Evolution Equations and Control Theory. 4, 2, p. 143-158 16 p.Research output: Contribution to journal › Article

Chemostat Model

Chemostats

Linear Quadratic Problem

Chemostat

Linear Approximation

## Periodic trajectories of distributed parameter biochemical systems with time delay

Drame, A. K., Dochain, D., Winkin, J. J. & Wolenski, P. R., 15 Mar 2012, In : Applied Mathematics and Computation. 218, 14, p. 7395-7405 11 p.Research output: Contribution to journal › Article

Periodic Trajectories

Time Delay

Time delay

Trajectories

Biomass

## A PDE approach to the derivation of the Brayton-Moser form for power-shaping control

Favache, A., Dochain, D. & Winkin, J. J., 1 Jan 2011,*Proceedings of the IEEE Conference on Decision and Control.*p. 2782-2787 6 p.

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Chapter

Partial differential equation

Passivity-based Control

Chemical Reactors

Methodology

Balancing

## Power-shaping control: Writing the system dynamics into the Brayton-Moser form

Favache, A., Dochain, D. & Winkin, J. J., 1 Aug 2011, In : Systems and Control Letters. 60, 8, p. 618-624 7 p.Research output: Contribution to journal › Article

Partial differential equations

Dynamical systems

Chemical reactors

Linear equations

Linear systems

## Asymptotic behavior and stability for solutions of a biochemical reactor distributed parameter model

Dramé, A. K., Dochain, D. & Winkin, J. J., 1 Jan 2008, In : IEEE Transactions on Automatic Control. 53, 1, p. 412-416 5 p.Research output: Contribution to journal › Article

Trajectories

Invariance