Auto sync: 2025-09-16 17:33:55 (7 files changed)
M .task/backlog.data M .task/completed.data M .task/pending.data M .task/undo.data A Writing/ERLM/research-approach/outline.md M "Zettelkasten/Permanent Notes/20250911170650-lipschitz-continuous.md" M "Zettelkasten/Permanent Notes/Literature Notes/LIT-20250911143337-multiple-lyapunov-functions-and-other-analysis-tools-for-swtiched-and-hybrid-systems.md"
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@ -1,3 +1,4 @@
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@ -120,3 +120,40 @@ time 1757896615
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old [dep_8e7a8e19-9197-4008-b7d9-521ffcf7ba91:"x" dep_96c76e6b-5c33-4f54-a156-5c59e718f01a:"x" dep_f4d32147-ec74-4f68-b8d5-146c0b6f35df:"x" depends:"8e7a8e19-9197-4008-b7d9-521ffcf7ba91,96c76e6b-5c33-4f54-a156-5c59e718f01a,f4d32147-ec74-4f68-b8d5-146c0b6f35df" description:"Write first draft of state of the art" due:"1757649600" entry:"1757449978" modified:"1757885608" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"4bec1530-18bc-43cb-9f0b-61e35dbf1730"]
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new [dep_8e7a8e19-9197-4008-b7d9-521ffcf7ba91:"x" dep_96c76e6b-5c33-4f54-a156-5c59e718f01a:"x" dep_f4d32147-ec74-4f68-b8d5-146c0b6f35df:"x" depends:"8e7a8e19-9197-4008-b7d9-521ffcf7ba91,96c76e6b-5c33-4f54-a156-5c59e718f01a,f4d32147-ec74-4f68-b8d5-146c0b6f35df" description:"Write first draft of state of the art" due:"1757649600" entry:"1757449978" modified:"1757896615" project:"ERLM" start:"1757896615" status:"pending" tags:"writing" tags_writing:"x" uuid:"4bec1530-18bc-43cb-9f0b-61e35dbf1730"]
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---
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time 1758040405
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old [dep_8e7a8e19-9197-4008-b7d9-521ffcf7ba91:"x" dep_96c76e6b-5c33-4f54-a156-5c59e718f01a:"x" dep_f4d32147-ec74-4f68-b8d5-146c0b6f35df:"x" depends:"8e7a8e19-9197-4008-b7d9-521ffcf7ba91,96c76e6b-5c33-4f54-a156-5c59e718f01a,f4d32147-ec74-4f68-b8d5-146c0b6f35df" description:"Write first draft of state of the art" due:"1757649600" entry:"1757449978" modified:"1757896615" project:"ERLM" start:"1757896615" status:"pending" tags:"writing" tags_writing:"x" uuid:"4bec1530-18bc-43cb-9f0b-61e35dbf1730"]
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new [dep_8e7a8e19-9197-4008-b7d9-521ffcf7ba91:"x" dep_96c76e6b-5c33-4f54-a156-5c59e718f01a:"x" dep_f4d32147-ec74-4f68-b8d5-146c0b6f35df:"x" depends:"8e7a8e19-9197-4008-b7d9-521ffcf7ba91,96c76e6b-5c33-4f54-a156-5c59e718f01a,f4d32147-ec74-4f68-b8d5-146c0b6f35df" description:"Write first draft of state of the art" due:"1757649600" end:"1758040405" entry:"1757449978" modified:"1758040405" project:"ERLM" status:"completed" tags:"writing" tags_writing:"x" uuid:"4bec1530-18bc-43cb-9f0b-61e35dbf1730"]
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---
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time 1758055048
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new [description:"Write research approach" due:"1758513600" entry:"1758055048" modified:"1758055048" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"56c9b3cc-078e-4155-b4cd-f982ae23bd36"]
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---
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time 1758055072
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new [dep_56c9b3cc-078e-4155-b4cd-f982ae23bd36:"x" depends:"56c9b3cc-078e-4155-b4cd-f982ae23bd36" description:"Research Approach Outline" entry:"1758055072" modified:"1758055072" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"e6cc0b14-6db4-4935-b19f-674c812aeda3"]
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---
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time 1758055095
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new [dep_56c9b3cc-078e-4155-b4cd-f982ae23bd36:"x" depends:"56c9b3cc-078e-4155-b4cd-f982ae23bd36" description:"Research Approach First Draft" entry:"1758055095" modified:"1758055095" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"c008dbde-ec2a-42f7-a34c-a6038e9d8cd4"]
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---
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time 1758055106
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old [dep_56c9b3cc-078e-4155-b4cd-f982ae23bd36:"x" depends:"56c9b3cc-078e-4155-b4cd-f982ae23bd36" description:"Research Approach Outline" entry:"1758055072" modified:"1758055072" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"e6cc0b14-6db4-4935-b19f-674c812aeda3"]
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new [dep_56c9b3cc-078e-4155-b4cd-f982ae23bd36:"x" dep_c008dbde-ec2a-42f7-a34c-a6038e9d8cd4:"x" depends:"56c9b3cc-078e-4155-b4cd-f982ae23bd36,c008dbde-ec2a-42f7-a34c-a6038e9d8cd4" description:"Research Approach Outline" entry:"1758055072" modified:"1758055106" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"e6cc0b14-6db4-4935-b19f-674c812aeda3"]
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---
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time 1758055144
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old [dep_56c9b3cc-078e-4155-b4cd-f982ae23bd36:"x" dep_c008dbde-ec2a-42f7-a34c-a6038e9d8cd4:"x" depends:"56c9b3cc-078e-4155-b4cd-f982ae23bd36,c008dbde-ec2a-42f7-a34c-a6038e9d8cd4" description:"Research Approach Outline" entry:"1758055072" modified:"1758055106" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"e6cc0b14-6db4-4935-b19f-674c812aeda3"]
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new [description:"Research Approach Outline" entry:"1758055072" modified:"1758055144" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"e6cc0b14-6db4-4935-b19f-674c812aeda3"]
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---
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time 1758055161
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old [dep_56c9b3cc-078e-4155-b4cd-f982ae23bd36:"x" depends:"56c9b3cc-078e-4155-b4cd-f982ae23bd36" description:"Research Approach First Draft" entry:"1758055095" modified:"1758055095" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"c008dbde-ec2a-42f7-a34c-a6038e9d8cd4"]
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new [dep_56c9b3cc-078e-4155-b4cd-f982ae23bd36:"x" dep_e6cc0b14-6db4-4935-b19f-674c812aeda3:"x" depends:"56c9b3cc-078e-4155-b4cd-f982ae23bd36,e6cc0b14-6db4-4935-b19f-674c812aeda3" description:"Research Approach First Draft" entry:"1758055095" modified:"1758055161" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"c008dbde-ec2a-42f7-a34c-a6038e9d8cd4"]
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---
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time 1758055188
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old [dep_56c9b3cc-078e-4155-b4cd-f982ae23bd36:"x" dep_e6cc0b14-6db4-4935-b19f-674c812aeda3:"x" depends:"56c9b3cc-078e-4155-b4cd-f982ae23bd36,e6cc0b14-6db4-4935-b19f-674c812aeda3" description:"Research Approach First Draft" entry:"1758055095" modified:"1758055161" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"c008dbde-ec2a-42f7-a34c-a6038e9d8cd4"]
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new [description:"Research Approach First Draft" entry:"1758055095" modified:"1758055188" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"c008dbde-ec2a-42f7-a34c-a6038e9d8cd4"]
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---
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time 1758055281
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old [description:"Write research approach" due:"1758513600" entry:"1758055048" modified:"1758055048" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"56c9b3cc-078e-4155-b4cd-f982ae23bd36"]
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new [dep_c008dbde-ec2a-42f7-a34c-a6038e9d8cd4:"x" dep_e6cc0b14-6db4-4935-b19f-674c812aeda3:"x" depends:"c008dbde-ec2a-42f7-a34c-a6038e9d8cd4,e6cc0b14-6db4-4935-b19f-674c812aeda3" description:"Write research approach" due:"1758513600" entry:"1758055048" modified:"1758055281" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"56c9b3cc-078e-4155-b4cd-f982ae23bd36"]
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---
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time 1758055295
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old [description:"Research Approach First Draft" entry:"1758055095" modified:"1758055188" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"c008dbde-ec2a-42f7-a34c-a6038e9d8cd4"]
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new [dep_e6cc0b14-6db4-4935-b19f-674c812aeda3:"x" depends:"e6cc0b14-6db4-4935-b19f-674c812aeda3" description:"Research Approach First Draft" entry:"1758055095" modified:"1758055295" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"c008dbde-ec2a-42f7-a34c-a6038e9d8cd4"]
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---
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28
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Okay so here's how things will go:
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Integrate V design into the workings here
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1. Requirement identification and translation
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1. Point towards hardens lando thing
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2. we're going to do a nuclear start up sequence
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2. Synthesize requirements into a discrete automata
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1. this makes up our mode switching behavior
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2. There's probably going to be a serious amount of
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refinement required here
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3. Figure out by the structure of the nodes what the
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purpose of the mode is
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1. Do all traces leave? Do any traces leave? What
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does this mean for the FUNCTION of the node?
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3. Build controllers that satisfy each mode requirement
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1. Reachability to ensure valid input and output sets?
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2. We can ensure zeno behavior won't happen by looking
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at the interface between modes
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3. We should also see based on reachability that a well
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built controller ONLY can enter the modes as
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specified by the discrete automata
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4. Contract based methods?
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4. Fuck it man, that's like your provability or whatever
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man.
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@ -3,8 +3,22 @@ id: 20250911170650
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title: Lipschitz Continuous
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type: permanent
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created: 2025-09-11T21:06:50Z
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modified: 2025-09-11T21:06:50Z
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modified: 2025-09-16T16:32:37Z
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tags: []
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---
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# Lipschitz Continuous
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Lipschitz continuous functions are a special case of
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continuous functions. Lipschitz continuity means that a cone
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can be created with slope less than some real number
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$K$.
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Fora a real valued function in one dimension, Lipschitz
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continuity is defined as:
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$$| f(x_1) - f(x_2)| \leq K|x_1 - x_2|$$
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Lipschitz continuity can be expanded to vector fields. From
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here, we can say that ODE trajectories do NOT intersect, and
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that every trajectory is unique.
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@ -3,7 +3,7 @@ id: LIT-20250911143337
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title: Multiple Lyapunov Functions and Other Analysis Tools for Swtiched and Hybrid Systems
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type: literature
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created: 2025-09-11T18:33:37Z
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modified: 2025-09-11T21:53:20Z
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modified: 2025-09-16T17:23:17Z
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citekey:
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---
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