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11:47, 3 September 2026 RobertLampel talk contribs moved page Tumor Anti Anginogenesis to Tumor Anti Angiogenesis (Misspelled title)
11:45, 3 September 2026 RobertLampel talk contribs created page File:Tumor Anti Angiogenesis.png
11:45, 3 September 2026 RobertLampel talk contribs uploaded File:Tumor Anti Angiogenesis.png
11:45, 3 September 2026 RobertLampel talk contribs created page Tumor Anti Anginogenesis (Created page with "{{Dimensions |nd = 1 |nx = 3 |nw = 1 }} The '''tumor anti-angiogenesis problem''' is a classical benchmark in biomedical optimal control. This description is taken from [1]. It is based on the mathematical model of Hahnfeldt et al. [2] for tumor growth under angiogenic signalling, as studied from an optimal control perspective by Ledzewicz and Schättler [3]. Angiogenesis is the process by which tumors rec...")
11:44, 3 September 2026 RobertLampel talk contribs created page File:Ramsey Growth.png
11:44, 3 September 2026 RobertLampel talk contribs uploaded File:Ramsey Growth.png
11:44, 3 September 2026 RobertLampel talk contribs created page Ramsey Growth (Created page with "{{Dimensions |nd = 1 |nx = 1 |nw = 1 }} The '''Ramsey growth problem''' is a foundational benchmark in optimal control and macroeconomic theory. This description is taken from [1]. First formulated by Frank Ramsey in 1928 [2] and later extended by Cass [3] and Koopmans [4], the problem determines the socially optimal path of capital accumulation and consumption for a representative household economy....")
11:43, 3 September 2026 RobertLampel talk contribs created page File:SEIR Epidemic.png
11:43, 3 September 2026 RobertLampel talk contribs uploaded File:SEIR Epidemic.png
11:43, 3 September 2026 RobertLampel talk contribs created page SEIR Epidemic (Created page with "{{Dimensions |nd = 1 |nx = 4 |nw = 1 }} The '''SEIR epidemic optimal control problem''' is a classical benchmark in mathematical epidemiology and optimal control of biological systems. This description is taken from [1]. It models the spread of an infectious disease through a homogeneous population divided into four compartments: susceptible (<math>S</math>), exposed (<math>E</math>), infectious (<math>I</math>), and recovered (<math>R...")
11:42, 3 September 2026 RobertLampel talk contribs created page File:Brachistochrone.png
11:42, 3 September 2026 RobertLampel talk contribs uploaded File:Brachistochrone.png
11:41, 3 September 2026 RobertLampel talk contribs created page Brachistochrone (Created page with "{{Dimensions |nd = 1 |nx = 3 |nw = 1 }} The '''brachistochrone problem''' (from Greek ''brachístos chrónos'', "shortest time") is one of the founding problems of the calculus of variations, and serves as a classical benchmark in optimal control. This description is taken from [1]. First posed by Johann Bernoulli in 1696 as a public challenge, the problem asks for the shape of a frictionless curve connecting two fixed points in a vert...")
11:40, 3 September 2026 RobertLampel talk contribs created page File:Battery Storage.png
11:40, 3 September 2026 RobertLampel talk contribs uploaded File:Battery Storage.png
11:40, 3 September 2026 RobertLampel talk contribs created page Battery Storage (Created page with "{{Dimensions |nd = 1 |nx = 1 |nw = 1 }} The '''battery storage problem''' is a classical benchmark in optimal control for energy systems. This description is taken from [1]. It models the optimal operation of a grid-connected battery over a finite time horizon. The single state is the energy stored in the battery (state of charge), and the single control is the net power flow. Positive control corresponds to charging (energy flows into...")
10:14, 26 March 2026 RobertLampel talk contribs uploaded a new version of File:Three Tank OED.png
10:13, 26 March 2026 RobertLampel talk contribs created page File:Three Tank OED.png
10:13, 26 March 2026 RobertLampel talk contribs uploaded File:Three Tank OED.png
09:42, 26 March 2026 RobertLampel talk contribs created page Three Tank OED (Created page with "{{Dimensions |nd = 1 |nx = 21 |nw = 6 }} The '''Three Tank OED problem''' is a variation of the Three Tank multimode problem. It looks for optimal time intervals to measure the two states in order to minimize the uncertainty of a follow-up parameter estimation problem for the two unknown parameters. The mathematical equations form a small-scale ODE model. It also includes state sensitivities, the Fisher information matr...")
09:08, 26 March 2026 RobertLampel talk contribs created page File:Lotka Shared OED.png
09:08, 26 March 2026 RobertLampel talk contribs uploaded File:Lotka Shared OED.png
08:39, 26 March 2026 RobertLampel talk contribs created page Lotka Shared OED (Created page with "{{Dimensions |nd = 1 |nx = 11 |nw = 2 |nc = 4 |nre = 11 }} The '''Lotka Shared Experimental Design problem''' looks for an optimal strategy to be performed on a fixed time horizon to control the biomasses multiple species as described in LV Shared Resource. The goal here, however, is to minimize the uncertainty of a follow-up parameter estimation problem. When measurements of the three state variables are performed becomes a degree...")
08:51, 3 February 2026 RobertLampel talk contribs created page File:Cart Pendulum.png
08:51, 3 February 2026 RobertLampel talk contribs uploaded File:Cart Pendulum.png
08:15, 3 February 2026 RobertLampel talk contribs created page Cart Pendulum (Created page with "{{Dimensions |nd = 1 |nx = 3 |nw = 2 }} The '''Cart Pendulum problem''' concerns a pendulum hinged to a mobile cart. The control objective is to transition the pendulum from a downward position to a stabilized, inverted state above the cart. In this formulation, the objective function is defined by a composite of least-squares terms. The implementation here is taken from [1]. Its dynamics are given by a four-dimensional :Category:...")
07:53, 3 February 2026 RobertLampel talk contribs created page File:Moon Landing.png
07:53, 3 February 2026 RobertLampel talk contribs uploaded File:Moon Landing.png
07:51, 3 February 2026 RobertLampel talk contribs created page Moon Landing (Created page with "{{Dimensions |nd = 1 |nx = 3 |nw = 2 }} The '''Moon Landing problem''' is a simplification of a spacecraft trying to land on the moon's surface. Its objective is to minimize the fuel consumption during the landing maneuver while landing savely on the ground with zero vertical velocity. The implementation here is taken from [1]. Its dynamics are given by a two-dimensional ODE model. == Mathematical formulatio...")
08:03, 27 January 2026 RobertLampel talk contribs created page File:Jackson OED.png
08:03, 27 January 2026 RobertLampel talk contribs uploaded File:Jackson OED.png
07:31, 27 January 2026 RobertLampel talk contribs created page Jackson OED (Created page with "{{Dimensions |nd = 1 |nx = 13 |nw = 3 }} The '''Jackson OED problem''' is a variation of the Jackson problem. It looks for optimal time intervals to measure the three states in order to minimize the uncertainty of a follow-up parameter estimation problem for the two unknown parameters. The mathematical equations form a small-scale ODE model. It also includes state sensitivities, the Fisher information matrix entries and...")
15:57, 26 January 2026 RobertLampel talk contribs created page File:Dielectrophoretic Particle OED.png
15:57, 26 January 2026 RobertLampel talk contribs uploaded File:Dielectrophoretic Particle OED.png
15:49, 26 January 2026 RobertLampel talk contribs created page Dielectrophoretic Particle OED (Created page with "{{Dimensions |nd = 1 |nx = 13 |nw = 3 }} The '''Dielectrophoretic Particle OED problem''' is a variation of the Dielectrophoretic Particle problem. It looks for optimal time intervals to measure the two states in order to minimize the uncertainty of a follow-up parameter estimation problem for the two unknown parameters. The mathematical equations form a small-scale ODE model. It also includes state sensitivities, the F...")
14:39, 20 January 2026 RobertLampel talk contribs uploaded a new version of File:Van der Pol OED.png
10:26, 25 November 2025 RobertLampel talk contribs created page File:Hang Glider.png
10:26, 25 November 2025 RobertLampel talk contribs uploaded File:Hang Glider.png
09:49, 25 November 2025 RobertLampel talk contribs created page Hang Glider (Created page with "{{Dimensions |nd = 1 |nx = 4 |nw = 2 }} The '''Hang Glider problem''' is a classical benchmark in optimal control. This description is taken from [1]. It consists of steering a hang glider from an initial horizontal position and altitude to a target altitude while maximising the horizontal distance travelled. The glider dynamics incorporate lift, drag, gravity, and the effect of a thermal updraft. The control variable is the lift coeff...")
12:06, 24 November 2025 RobertLampel talk contribs created page File:Robbins.png
12:06, 24 November 2025 RobertLampel talk contribs uploaded File:Robbins.png
12:01, 24 November 2025 RobertLampel talk contribs created page Robbins (Created page with "{{Dimensions |nd = 1 |nx = 3 |nw = 1 }} The '''Robbins problem''' is a classical benchmark in optimal control. This description is taken from [1]. == Mathematical formulation == <p> <math> \begin{array}{lll} \displaystyle \min_{u} && \int_0^T (\alpha \cdot x_1(t) + \beta \cdot x_1(t)^2 + \gamma \cdot u(t)^2) \\ \text{subject to} \\ \quad \dot{x_1}(t) & = & x_2(t)),\\ \quad \dot{x_2}(t) & = & x_3(t), \\ \quad \dot{x_3}(t) & = & u(t),...")
10:49, 24 November 2025 RobertLampel talk contribs created page File:Jackson.png
10:49, 24 November 2025 RobertLampel talk contribs uploaded File:Jackson.png
10:39, 24 November 2025 RobertLampel talk contribs created page Jackson (Created page with "{{Dimensions |nd = 1 |nx = 6 |nw = 3 }} The '''Jackson problem''' is a classical benchmark in optimal control. This description is taken from [1]. It consists of controlling a three-dimensional system in which the first two states interact linearly under the effect of a single control input, while the third state accumulates based on the complementary control. The objective is to minimise the third state at the final time, while satisf...")
10:33, 24 November 2025 RobertLampel talk contribs created page File:Ducted Fan.png
10:33, 24 November 2025 RobertLampel talk contribs uploaded File:Ducted Fan.png
10:02, 24 November 2025 RobertLampel talk contribs created page Ducted Fan (Created page with "{{Dimensions |nd = 1 |nx = 4 |nw = 1 }} The '''Ducted Fan problem''' is a classical nonlinear benchmark in optimal control with multiple input and state constraints. This description is taken from [1]. It models the planar motion of a ducted fan aircraft, described by its horizontal and vertical positions <math>( x_1 , x_2 )</math> , the angle <math>\alpha</math> with respect to the vertical, and their velocities <math>( v_1 , v_2 , v_...")
09:57, 24 November 2025 RobertLampel talk contribs uploaded a new version of File:Double Oscillator.png
09:56, 24 November 2025 RobertLampel talk contribs created page File:Double Oscillator.png