CBENP2AEL17003_Videos_5_6.ipynb

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    " # Controllability, Reachability, and Eigenvalue Placement (Video No:6)\n",
    "\n"
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    "<h3>Equivalences of Controllability :</h3>\n",
    "\n",
    "<h5>1. System is controllable </h5>\n",
    "\n",
    "\n",
    "\n",
    "\n"
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    "<h5>2. Arbitrary eigen value(pole) placement</h5>\n",
    "\n",
    "\n",
    "\n",
    "$\n",
    "U = -KX \n",
    "$\n",
    "which means $\n",
    "\\dot X = (A - Bk)X\n",
    "$\n",
    "(A - Bk) is arbitrary eigs\n",
    "\n",
    "\n",
    "<h5>MATLAB COMMAND:</h5>\n",
    "\n",
    "K=place(A,B,eigs)\n"
   ]
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    "<h5>3. Reachability</h5>\n",
    "\n",
    "Reachable set R_t={$\\zeta$ $\\epsilon$ $R_n$  (there is an input U(t) so that X(t)=$\\zeta$ )}\n",
    "\n",
    "$R_t$=$R_n$"
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