{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c218db69-7f82-476b-ac65-898f27148571",
   "metadata": {},
   "source": [
    "Math 420/620: Quiz 7 Solutions"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f220ebd-9a58-4c9f-8a1b-81f3237f272a",
   "metadata": {},
   "source": [
    "**1.** Astronauts in training are required to practice a docking\n",
    "maneuver under manual control.\n",
    "As a part of this maneuver, it is required to bring an orbiting\n",
    "spacecraft to rest relative to another orbiting craft.\n",
    "The hand controls provide for variable acceleration and deceleration,\n",
    "and there is a device on board that measures the rate of closing\n",
    "between the two vehicles.\n",
    "\n",
    "Suppose at time $t_0$ the initial closing velocity of the spacecraft is\n",
    "$v_0$ and the thruster rocket is providing an acceleration of $a_0$.\n",
    "The following strategy has been proposed for bringing the\n",
    "craft to rest.\n",
    "At time $t_n$ observe the closing velocity $v_n$.\n",
    "If it is zero, we are done.\n",
    "Otherwise, prepare to set the acceleration control.\n",
    "After a delay of $c$ seconds set the thruster\n",
    "to $a_{n+1}=-\\kappa v_n$.\n",
    "Wait another $w$ seconds until time $t_{n+1}$ and then\n",
    "repeat the procedure.\n",
    "\n",
    "Since $dv/dt=a$ it follows that\n",
    "$$\n",
    "    v_{n+1}=\\cases{ v_0+c a_0-w\\kappa v_0 & for $n=0$\\cr\n",
    "        v_n-c \\kappa v_{n-1}  - w\\kappa v_n & for $n>0$.}\n",
    "$$\n",
    "Upon setting $X_n=(v_n,v_{n-1})$ we obtain $X_{n+1}=A X_n$ where\n",
    "$$\n",
    "    A=\\left[\\matrix{\n",
    "        1-w\\kappa & -c\\kappa\\cr\n",
    "        1 & 0\n",
    "    }\\right]\n",
    "\\qquad\\hbox{and}\\qquad\n",
    "    X_1= \\left[\\matrix{\n",
    "        v_0+c a_0-w\\kappa v_0\\cr\n",
    "        v_0\n",
    "    }\\right].\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f9b31822-1150-444d-ad6c-f888e926d317",
   "metadata": {},
   "source": [
    "(i) Let $c=5$, $w=10$ and $\\kappa=0.07$.\n",
    "Draw the vector field of $F(X)=(A-I)X$ for\n",
    "$X\\in \\{-3,-2,\\ldots,3\\}^2$ as in Figure 4.9 from the text.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "55e47df2-1f1f-4e82-a5dd-1c27e77b6391",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Float64}:\n",
       " 0.3  -0.35\n",
       " 1.0   0.0"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c=5\n",
    "w=10\n",
    "kappa=0.07\n",
    "A=[1-w*kappa -c*kappa; 1 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "864d013b-608c-4dc2-928a-d2e81403121f",
   "metadata": {},
   "outputs": [],
   "source": [
    "using LinearAlgebra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "32d6a545-3db0-46c5-8f1d-307189e0baac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "F (generic function with 1 method)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "F(X)=(A-I)*X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a245bdf3-49a4-42c9-83d3-50037034d8d0",
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8006d669-b112-4b77-a9be-789262dd6c79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs=-3:1:3; ys=-3:1:3\n",
    "quiver(\n",
    "    xs*ones(length(ys))',ones(length(xs))*ys',\n",
    "    quiver=(x,y)->F([x,y])\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b2471ce-ac41-4386-ad5a-549692fa0eb0",
   "metadata": {},
   "source": [
    "(ii) Consider the continuous-time analogue $dX/dt=F(X)$\n",
    "of the docking problem.\n",
    "Find the eigenvalues $\\mu_1=\\alpha_1+i\\beta_1$ and\n",
    "$\\mu_2=\\alpha_2+i\\beta_2$ of $A-I$.\n",
    "Recall if the real parts $\\alpha_1<0$ and $\\alpha_2<0$,\n",
    "then $X(t)\\to 0$ as $t\\to\\infty$.\n",
    "Does $X(t)\\to 0$?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "541d1e9d-b578-4486-8bf0-3c6c09fb9bb6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{ComplexF64}:\n",
       " -0.8500000000000001 - 0.57227615711298im\n",
       " -0.8500000000000001 + 0.57227615711298im"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mu=eigvals(A-I)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8369d7dd-1862-4882-8cab-e3ff35c8afa0",
   "metadata": {},
   "source": [
    "The real parts of the eigenvalues are $\\alpha_1=-0.85$ and\n",
    "$\\alpha_2=-0.85$.  This implies that $X(t)\\to 0$ and $t\\to \\infty$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95986765-68ed-4777-95a0-94f561ef4d52",
   "metadata": {},
   "source": [
    "(iii) Vary $\\kappa$ while fixing $c=5$\n",
    "and $w=10$.  Let $\\mu_1(\\kappa)$ and $\\mu_2(\\kappa)$\n",
    "be the corresponding eigenvalues of $A-I$.\n",
    "Plot the real parts $\\alpha_1(\\kappa)$ and $\\alpha_2(\\kappa)$\n",
    "for $\\kappa\\in [0,0.5]$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22481b56-b578-4d62-9d0f-f1584be6c36f",
   "metadata": {},
   "source": [
    "Let $B(\\kappa)=A-I$ for the value of $\\kappa$ given with the\n",
    "other arguments fixed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3c468f2e-f6fb-4837-aa12-3650071dd4d7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "B (generic function with 1 method)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "B(kappa)=[1-w*kappa -c*kappa; 1 0]-I"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "05d8d0d0-18ef-4246-a985-a651535008ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Float64}:\n",
       " -0.5  -0.25\n",
       "  1.0  -1.0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Check that the B function works\n",
    "B(0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "25d79070-63eb-4db6-86bd-c21d191db65a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "alpha2 (generic function with 1 method)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alpha1(kappa)=real(eigvals(B(kappa))[1])\n",
    "alpha2(kappa)=real(eigvals(B(kappa))[2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b277c951-9375-4090-88ac-d058430817db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot([alpha1,alpha2],0:0.001:0.5,\n",
    "    xlabel=\"kappa\",ylabel=\"real part\",\n",
    "    title=\"Real Part versus Kappa\",\n",
    "    label=[\"α1\" \"α2\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae83ccdf-81f3-47e9-8640-683de0d5d682",
   "metadata": {},
   "source": [
    "(iv) For what values of $\\kappa$ does $X(t)\\to 0$?\n",
    "Compare your result with the eigenvalue analysis in Lecture 22\n",
    "for the discrete system $X_{n+1}=A X_n$.\n",
    "Comment on the differences between the continuous and discrete models."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d886b9c-519b-4d15-9a9a-5e76cab46972",
   "metadata": {},
   "source": [
    "As seen by the graph $\\alpha_1<0$ and $\\alpha_2<0$ for\n",
    "all values of $\\kappa\\in (0,0.5]$.  Therefore, for\n",
    "the continuous system $X(t)\\to 0$\n",
    "as $t\\to\\infty$ for all values of $\\kappa>0$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6638f7a7-fea4-4a4c-a055-9c72bc9999f4",
   "metadata": {},
   "source": [
    "Recall for the the discrete model $X_{n+1}=AX_n$ that $X_n\\to 0$\n",
    "provided both $|\\lambda_1|<1$ and $|\\lambda_2|<1$\n",
    "where $\\lambda_1$ and $\\lambda_2$ are the eigenvalues of $A$.\n",
    "The corresponding plot for the discrete system is given as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "39d83ca4-4fac-4102-b944-dd202f7fead1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fA(kappa)=[1-w*kappa -c*kappa; 1 0]\n",
    "fabseig1(kappa)=abs(eigvals(fA(kappa))[1])\n",
    "fabseig2(kappa)=abs(eigvals(fA(kappa))[2])\n",
    "plot([fabseig1,fabseig2],0:0.001:0.5,\n",
    "    xlabel=\"kappa\",ylabel=\"magnitude\",\n",
    "    title=\"Magnitude vs Kappa\",\n",
    "    label=[\"|λ1|\" \"|λ2|\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "546267cb-b282-47dd-8943-1000a395a285",
   "metadata": {},
   "source": [
    "As seen by the plot $|\\lambda_1|<1$ and $|\\lambda_2|<1$ for $\\kappa\\in (0,0.2)$.\n",
    "Therefore, for the discrete system $X_n\\to 0$ as $n\\to\\infty$ only when $\\kappa\\in (0,0.2)$.\n",
    "\n",
    "The difference between the continuous and the discrete models is that the\n",
    "continous docking model succeeds for more values of $\\kappa$.\n",
    "Since the continuous model is a further simplification of the discrete\n",
    "model, we conclude that important properties have been altered by\n",
    "this simplication.  In particular, the continuous model implying that\n",
    "the docking model succeeds in casses where the discrete model does\n",
    "not imply it succeeds could lead to wrong decisions on how to\n",
    "set the acceleration control $\\kappa$ of the spacecraft."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "098ca4de-6917-48b9-a31e-71439e0e8e06",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.10",
   "language": "julia",
   "name": "julia-1.10"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.10.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}