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4 | 4 | "cell_type": "markdown",
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5 | 5 | "metadata": {},
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6 | 6 | "source": [
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7 |
| - "# State Space Class\n" |
| 7 | + "# State Space Class\n", |
| 8 | + "\n" |
8 | 9 | ]
|
9 | 10 | },
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10 | 11 | {
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11 | 12 | "cell_type": "markdown",
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12 | 13 | "metadata": {},
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13 | 14 | "source": [
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14 |
| - "## Discrete Time" |
| 15 | + "## Discrete Time\n", |
| 16 | + "\n" |
15 | 17 | ]
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16 | 18 | },
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17 | 19 | {
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18 | 20 | "cell_type": "markdown",
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19 | 21 | "metadata": {},
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20 | 22 | "source": [
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21 |
| - "Let's consider a time-invariant discret time state space representation as follows.\n" |
| 23 | + "* Let's consider a time-invariant discret time state space representation as follows.\n", |
| 24 | + "\n" |
22 | 25 | ]
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23 | 26 | },
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24 | 27 | {
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|
30 | 33 | " \\mathbf{x}_{k+1}&=\\mathbf{Ax}_{k}+\\mathbf{Bu}_{k} \\\\\n",
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31 | 34 | " \\mathbf{y}_{k}&=\\mathbf{Cx}_{k}+\\mathbf{Du}_{k}\n",
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32 | 35 | "\\end{align}\n",
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33 |
| - "$$\n" |
| 36 | + "$$\n", |
| 37 | + "\n" |
34 | 38 | ]
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35 | 39 | },
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36 | 40 | {
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37 | 41 | "cell_type": "markdown",
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38 | 42 | "metadata": {},
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39 | 43 | "source": [
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40 |
| - "If $\\mathbf{D} = 0$ we can rewrite as follows.\n" |
| 44 | + "* If $\\mathbf{D} = 0$ we can rewrite as follows.\n", |
| 45 | + "\n" |
41 | 46 | ]
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42 | 47 | },
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43 | 48 | {
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|
49 | 54 | " \\mathbf{x}_{k+1}&=\\mathbf{Ax}_{k}+\\mathbf{Bu}_{k} \\\\\n",
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50 | 55 | " \\mathbf{y}_{k}&=\\mathbf{Cx}_{k}\n",
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51 | 56 | "\\end{align}\n",
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52 |
| - "$$\n" |
| 57 | + "$$\n", |
| 58 | + "\n" |
53 | 59 | ]
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54 | 60 | },
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55 | 61 | {
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56 | 62 | "cell_type": "markdown",
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57 | 63 | "metadata": {},
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58 | 64 | "source": [
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59 |
| - "Here, we can think about following analogies.\n" |
| 65 | + "* Here, we can think about following analogies.\n", |
| 66 | + "\n" |
60 | 67 | ]
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61 | 68 | },
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62 | 69 | {
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|
69 | 76 | "| $\\mathbf{B}$ | input matrix | mutator method |\n",
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70 | 77 | "| $\\mathbf{u}$ | vector of input variables | mutator method argument |\n",
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71 | 78 | "| $\\mathbf{C}$ | output matrix | reader method |\n",
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72 |
| - "| $\\mathbf{y}$ | measurement vector | return values of reader method |\n" |
| 79 | + "| $\\mathbf{y}$ | measurement vector | return values of reader method |\n", |
| 80 | + "\n" |
73 | 81 | ]
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74 | 82 | },
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75 | 83 | {
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76 | 84 | "cell_type": "markdown",
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77 | 85 | "metadata": {},
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78 | 86 | "source": [
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79 |
| - "Let's see if the analogies above works.\n" |
| 87 | + "* Let's see if the analogies above works.\n", |
| 88 | + "\n" |
80 | 89 | ]
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81 | 90 | },
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82 | 91 | {
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