.. _sphx_glr_examples_beginner:

Beginner
========



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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_path_constraints_thumb.png
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  :ref:`sphx_glr_examples_beginner_plot_path_constraints.py`

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      <div class="sphx-glr-thumbnail-title">Path Constraints</div>
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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_betts_10_7_thumb.png
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  :ref:`sphx_glr_examples_beginner_plot_betts_10_7.py`

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      <div class="sphx-glr-thumbnail-title">Hypersensitive Control</div>
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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_betts_10_50_thumb.png
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  :ref:`sphx_glr_examples_beginner_plot_betts_10_50.py`

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      <div class="sphx-glr-thumbnail-title">Delay Equation (Göllmann, Kern, and Maurer)</div>
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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_pendulum_swing_up_fixed_duration_thumb.gif
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  :ref:`sphx_glr_examples_beginner_plot_pendulum_swing_up_fixed_duration.py`

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      <div class="sphx-glr-thumbnail-title">Fixed Duration Pendulum Swing Up</div>
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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_pendulum_swing_up_variable_duration_thumb.gif
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  :ref:`sphx_glr_examples_beginner_plot_pendulum_swing_up_variable_duration.py`

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      <div class="sphx-glr-thumbnail-title">Variable Duration Pendulum Swing Up</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This is the single parameter identification problem presented in section 7 of [Betts2003]_.">

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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_betts2003_thumb.png
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  :ref:`sphx_glr_examples_beginner_plot_betts2003.py`

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      <div class="sphx-glr-thumbnail-title">Parameter Identification: Betts & Huffman 2003</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example is taken from [Vyasarayani2011]_. In Section 3.1 there is a simple example of a single pendulum parameter identification that has many local minima.">

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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_vyasarayani_thumb.png
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  :ref:`sphx_glr_examples_beginner_plot_vyasarayani.py`

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      <div class="sphx-glr-thumbnail-title">Multi-minimum Parameter Identification</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Objective ---------">

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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_betts_10_103_104_thumb.png
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  :ref:`sphx_glr_examples_beginner_plot_betts_10_103_104.py`

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      <div class="sphx-glr-thumbnail-title">Compare DAE vs. ODE Formulation</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Simulation of a particle subject to the force of gravity and air drag as it traverses an elevation profile with a specified numerical shape to reach the course finish line in minimal time.">

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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_hilly_race_thumb.gif
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  :ref:`sphx_glr_examples_beginner_plot_hilly_race.py`

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      <div class="sphx-glr-thumbnail-title">Hilly Race</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Objective ---------">

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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_brachistochrone_thumb.gif
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  :ref:`sphx_glr_examples_beginner_plot_brachistochrone.py`

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      <div class="sphx-glr-thumbnail-title">Brachistochrone</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Objectives ----------">

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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_light_diffraction_thumb.gif
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  :ref:`sphx_glr_examples_beginner_plot_light_diffraction.py`

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      <div class="sphx-glr-thumbnail-title">Light Diffraction</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Objective ---------">

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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_sliding_block_thumb.gif
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  :ref:`sphx_glr_examples_beginner_plot_sliding_block.py`

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      <div class="sphx-glr-thumbnail-title">Block Sliding Over a Hill</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Objectives ----------">

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  .. image:: /examples/beginner/images/thumb/sphx_glr_plot_wheel_on_bumpy_road_thumb.gif
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  :ref:`sphx_glr_examples_beginner_plot_wheel_on_bumpy_road.py`

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      <div class="sphx-glr-thumbnail-title">Quarter Car Model on a Bumpy Road</div>
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.. toctree::
   :hidden:

   /examples/beginner/plot_path_constraints
   /examples/beginner/plot_betts_10_7
   /examples/beginner/plot_betts_10_50
   /examples/beginner/plot_pendulum_swing_up_fixed_duration
   /examples/beginner/plot_pendulum_swing_up_variable_duration
   /examples/beginner/plot_betts2003
   /examples/beginner/plot_vyasarayani
   /examples/beginner/plot_betts_10_103_104
   /examples/beginner/plot_hilly_race
   /examples/beginner/plot_brachistochrone
   /examples/beginner/plot_light_diffraction
   /examples/beginner/plot_sliding_block
   /examples/beginner/plot_wheel_on_bumpy_road