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Appending invariance \n padding
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04/10.ipynb

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@@ -4,21 +4,24 @@
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# State Space Class\n"
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"# State Space Class\n",
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"\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Discrete Time"
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"## Discrete Time\n",
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"\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Let's consider a time-invariant discret time state space representation as follows.\n"
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"* Let's consider a time-invariant discret time state space representation as follows.\n",
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"\n"
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]
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},
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{
@@ -30,14 +33,16 @@
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" \\mathbf{x}_{k+1}&=\\mathbf{Ax}_{k}+\\mathbf{Bu}_{k} \\\\\n",
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" \\mathbf{y}_{k}&=\\mathbf{Cx}_{k}+\\mathbf{Du}_{k}\n",
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"\\end{align}\n",
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"$$\n"
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"$$\n",
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"\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"If $\\mathbf{D} = 0$ we can rewrite as follows.\n"
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"* If $\\mathbf{D} = 0$ we can rewrite as follows.\n",
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"\n"
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]
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},
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{
@@ -49,14 +54,16 @@
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" \\mathbf{x}_{k+1}&=\\mathbf{Ax}_{k}+\\mathbf{Bu}_{k} \\\\\n",
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" \\mathbf{y}_{k}&=\\mathbf{Cx}_{k}\n",
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"\\end{align}\n",
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"$$\n"
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"$$\n",
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"\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Here, we can think about following analogies.\n"
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"* Here, we can think about following analogies.\n",
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"\n"
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]
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{
@@ -69,14 +76,16 @@
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"| $\\mathbf{B}$ | input matrix | mutator method |\n",
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"| $\\mathbf{u}$ | vector of input variables | mutator method argument |\n",
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"| $\\mathbf{C}$ | output matrix | reader method |\n",
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"| $\\mathbf{y}$ | measurement vector | return values of reader method |\n"
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"| $\\mathbf{y}$ | measurement vector | return values of reader method |\n",
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"\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Let's see if the analogies above works.\n"
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"* Let's see if the analogies above works.\n",
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"\n"
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]
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},
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{

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