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08:09, 22 August 2025 RobertLampel talk contribs created page File:Fermenter.png
08:09, 22 August 2025 RobertLampel talk contribs uploaded File:Fermenter.png
07:01, 22 August 2025 RobertLampel talk contribs created page Fermenter (Created page with "{{Dimensions |nd = 1 |nx = 9 |nw = 3 }} The '''Fermenter problem''' describes a fermentation process with two substrates <math>S_1</math> and <math>S_2</math> , and two products <math>P</math> and <math>G</math>. Enzyme biomass concentration is modeled by a state <math>E</math>. Further states are the fermentation volume <math>V</math> and the accumulated product <math>P_{\text{acc}}</math> and substrates <math>S_{1,\text{acc}}</math> and <math>S_{2...")
06:10, 22 August 2025 RobertLampel talk contribs uploaded a new version of File:Mountain Car.png
14:12, 21 August 2025 RobertLampel talk contribs created page File:Ocean.png
14:12, 21 August 2025 RobertLampel talk contribs uploaded File:Ocean.png
13:50, 21 August 2025 RobertLampel talk contribs created page Ocean (Created page with "{{Dimensions |nd = 1 |nx = 1 |nw = 1 }} The '''Ocean problem''' describes fossil fuel consumption and sequestration into the ocean [169]. It is a two box model where <math>S</math> describes the carbon stock in the atmosphere and upper layer ocean, <math>R</math> describes the carbon stock in fossil reserve and <math>D_L</math> the carbon stock in the deeper layer. The dynamics are given by an ODE model. The optimal control...")
13:14, 21 August 2025 RobertLampel talk contribs created page File:LQR.png
13:14, 21 August 2025 RobertLampel talk contribs uploaded File:LQR.png
13:14, 21 August 2025 RobertLampel talk contribs created page Linear Quadratic Regulator (Created page with "{{Dimensions |nd = 1 |nx = 1 |nw = 1 }} The '''Linear Quadratic Regulator problem''' is a one-dimensional toy ODE model which is especially suited for multiple shooting solvers. It aims to minimize a quadratic Lagrange term. The optimal integer control functions exhibits a singular arc. == Mathematical formulation == <math> \begin{array}{lll} \displaystyle \min_{x,w} && \int_0^{1...")
10:55, 21 August 2025 RobertLampel talk contribs created page File:Denbigh.png
10:55, 21 August 2025 RobertLampel talk contribs uploaded File:Denbigh.png
09:18, 21 August 2025 RobertLampel talk contribs created page Denbigh Reaction (Created page with "{{Dimensions |nd = 1 |nx = 3 |nw = 1 }} The '''Mountain Car problem''' s based on the system of chemical reactions initially considered by Denbigh (1958), which was also studied by Aris (1960) and more recently by Luus (1994): <math> \begin{align} A + B &\rightarrow X \\ X &\rightarrow Q \\ X &\rightarrow Y \\ A + X &\rightarrow P \end{align} </math> where X is an intermediate, Y is the desired product, and P and Q are waste prod...")
14:47, 20 August 2025 RobertLampel talk contribs created page File:Mountain Car.png
14:47, 20 August 2025 RobertLampel talk contribs uploaded File:Mountain Car.png
14:46, 20 August 2025 RobertLampel talk contribs created page Mountain Car (Created page with "{{Dimensions |nd = 1 |nx = 2 |nw = 1 }} The '''Mountain Car problem''' proposes a vehicle stuck in a “well.” It lacks the power to directly climb out of the well, but instead must accelerate repeatedly forwards and backwards until it has achieved the energy necessary to exit the well. The problem is a popular machine learning test case. It first appeared in the PhD thesis of Andrew Moore in 1990. [Moo90]. The implementation here is taken from [...")
09:47, 20 August 2025 RobertLampel talk contribs created page File:Tubular Reactor.png
09:47, 20 August 2025 RobertLampel talk contribs uploaded File:Tubular Reactor.png
09:42, 20 August 2025 RobertLampel talk contribs created page Tubular Reactor (Created page with "{{Dimensions |nd = 1 |nx = 2 |nw = 1 }} The '''Tubular Reactor problem''' is a two-dimensional ODE model. It aims to maximize the value of the second differential state at the end of the time interval. The optimal integer control functions exhibits a singular arc. == Mathematical formulation == <math> \begin{array}{lll} \displaystyle \min_{w} && -x_2(1) dt \\ \text{subject to} \...")
09:05, 20 August 2025 RobertLampel talk contribs created page File:Bryson-Denham.png
09:05, 20 August 2025 RobertLampel talk contribs uploaded File:Bryson-Denham.png
09:02, 20 August 2025 RobertLampel talk contribs created page Bryson Denham (Created page with "{{Dimensions |nd = 1 |nx = 2 |nw = 1 }} The '''Bryson-Denham problem''' is a two-dimensional toy ODE model. It aims to minimize a quadratic Lagrange term. The optimal integer control functions exhibits a singular arc. == Mathematical formulation == <math> \begin{array}{lll} \displaystyle \min_{u} && \int_0^{1} \frac{1}{2} \cdot w(t)^2 dt \\ \text{subject to} \\ \quad \dot{x}(t)...")
08:24, 20 August 2025 RobertLampel talk contribs created page File:Rao Mease.png
08:24, 20 August 2025 RobertLampel talk contribs uploaded File:Rao Mease.png
07:54, 20 August 2025 RobertLampel talk contribs created page Rao Mease (Created page with "{{Dimensions |nd = 1 |nx = 1 |nw = 1 }} The '''Rao Mease problem''' is a very sensitive one-dimensional toy ODE model which is especially suited for multiple shooting solvers. It aims to minimize a quadratic Lagrange term. The optimal integer control functions shows bang bang behavior. == Mathematical formulation == <math> \begin{array}{lll} \displaystyle \min_{x,w} && \int_0^{10} (x(t)^2 + w(...")
07:25, 20 August 2025 RobertLampel talk contribs created page File:Toy OED.png
07:25, 20 August 2025 RobertLampel talk contribs uploaded File:Toy OED.png
06:43, 20 August 2025 RobertLampel talk contribs created page Toy OED (Created page with "{{Dimensions |nd = 1 |nx = 4 |nw = 1 }} The '''Toy OED problem''' looks for an optimal measurement strategy to determine a single parameter in a one-dimensional ODE model, where can directly measure the single state. The optimal integer control functions shows bang bang behavior. == Mathematical formulation == We are interested in estimating the parameters <math>p_2</math> and <math>p_4</math> of t...")
16:18, 25 April 2025 Maintenance script talk contribs changed group membership for Admin3 from (none) to administrator, bureaucrat and interface administrator
16:18, 25 April 2025 User account Admin3 talk contribs was created automatically
09:01, 9 December 2024 User account RobertLee talk contribs was created by SebastianSager talk contribs and password was sent by email
08:59, 9 December 2024 User account KaiExner talk contribs was created by SebastianSager talk contribs and password was sent by email
12:08, 11 June 2024 User account RobertLampel talk contribs was created by SebastianSager talk contribs
06:10, 20 October 2023 VeronicaHaritonova talk contribs uploaded File:LPN3B min sum data.png
06:08, 20 October 2023 VeronicaHaritonova talk contribs uploaded File:LPN3B minT x data.png
13:06, 19 October 2023 User account JulioBanga talk contribs was created by SebastianSager talk contribs and password was sent by email
12:57, 19 October 2023 User account VeronicaHaritonova talk contribs was created by SebastianSager talk contribs and password was sent by email
15:17, 20 September 2021 ClemensZeile talk contribs uploaded File:Lotka volterra optimal control julia NN.gif (Solution of the relaxed Lotka-Volterra-OCP with Julia and NN by https://github.com/AlCap23/IMPRS2021/blob/master/figures/lotka_volterra_optimal_control.gif)
12:17, 8 July 2021 User account JonathanHelgert talk contribs was created by JonasSchulze talk contribs and password was sent by email
09:05, 14 March 2020 ClemensZeile talk contribs uploaded File:Three tank rounding solution.png (Solution obtained by pycombina for the three tank OC problem)
09:04, 14 March 2020 ClemensZeile talk contribs uploaded File:Three tank relaxed solution.png (Solution of three tank OC problem with relaxed controls)
09:00, 14 March 2020 ClemensZeile talk contribs uploaded File:Three tank binary solution.png (Solution of three tank OC problem with binary controls fixed)
08:58, 14 March 2020 ClemensZeile talk contribs uploaded File:Three tank binary solution.pdf (Solution of three tank OC problem with binary controls fixed)
14:28, 14 October 2019 ClemensZeile talk contribs uploaded File:Quadrotor bin CIA 12000 25.pdf (Numerical results for the outer convexified problem "Quadrotor Helicoptor" with nt=12000, nu=25 and binary controls obtained via CIA decomposition.)
14:28, 14 October 2019 ClemensZeile talk contribs uploaded File:Quadrotor bin Relaxed 12000 25.pdf (Numerical results for the outer convexified problem "Quadrotor Helicoptor" with nt=12000, nu=25 and relaxed binary controls.)
11:47, 14 October 2019 ClemensZeile talk contribs uploaded File:Lotka term ineq CIA 12000 200.pdf (Numerical results for Lotka Volterra Problem with terminal inequality constraint violation. Results are based on binary control obtained via CIA and nt=12000, nu=200.)
11:46, 14 October 2019 ClemensZeile talk contribs uploaded File:Lotka term ineq Relaxed 12000 200.pdf (Numerical results for Lotka Volterra Problem with terminal inequality constraint violation. Results are based on relaxed control and nt=12000, nu=200.)
11:08, 14 October 2019 ClemensZeile talk contribs uploaded File:Lotka abs fish CIA controls 12000 80.pdf (Results of Lotka Volterra Problem with absolute fishing controls obtained via CIA, control values)
11:08, 14 October 2019 ClemensZeile talk contribs uploaded File:Lotka abs fish CIA states 12000 80.pdf (Results of Lotka Volterra Problem with absolute fishing controls obtained via CIA, differential states)
11:03, 14 October 2019 ClemensZeile talk contribs uploaded File:Lotka abs fish relaxed 12000 80.pdf (Results of Lotka Volterra absolute fishing problem with relaxed controls.)