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3 September 2026

  • 11:4511:45, 3 September 2026 Tumor Anti Angiogenesis (hist | edit) [5,985 bytes] RobertLampel (talk | contribs) (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...") originally created as "Tumor Anti Anginogenesis"
  • 11:4411:44, 3 September 2026 Ramsey Growth (hist | edit) [5,120 bytes] RobertLampel (talk | contribs) (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....")
  • 11:4311:43, 3 September 2026 SEIR Epidemic (hist | edit) [5,631 bytes] RobertLampel (talk | contribs) (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...")
  • 11:4111:41, 3 September 2026 Brachistochrone (hist | edit) [4,120 bytes] RobertLampel (talk | contribs) (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...")
  • 11:4011:40, 3 September 2026 Battery Storage (hist | edit) [5,643 bytes] RobertLampel (talk | contribs) (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...")

26 March 2026

  • 09:4209:42, 26 March 2026 Three Tank OED (hist | edit) [4,422 bytes] RobertLampel (talk | contribs) (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...")
  • 08:3908:39, 26 March 2026 Lotka Shared OED (hist | edit) [5,286 bytes] RobertLampel (talk | contribs) (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...")

3 February 2026

  • 08:1508:15, 3 February 2026 Cart Pendulum (hist | edit) [3,088 bytes] RobertLampel (talk | contribs) (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:...")
  • 07:5107:51, 3 February 2026 Moon Landing (hist | edit) [1,676 bytes] RobertLampel (talk | contribs) (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...")

27 January 2026

  • 07:3107:31, 27 January 2026 Jackson OED (hist | edit) [4,319 bytes] RobertLampel (talk | contribs) (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...")

26 January 2026

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