Linear
asgeirtj/system_prompts_leaks
Read and manage software issues, tickets, projects, and planning data in Linear.
Linearizing nonlinear dynamics around operating points for control design.
Apache-2.0Auto-check passed
Install State Space Linearization
$ npx skills add benchflow-ai/skillsbench --skill state-space-linearization -a claude-codeProject install by default; add -g for ~/.claude/skills/.
$ gh skill install benchflow-ai/skillsbench state-space-linearization --agent claude-codeProject scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).
$ git clone --depth 1 https://github.com/benchflow-ai/skillsbench.git skills-src && mkdir -p .claude/skills && cp -r skills-src/tasks/r2r-mpc-control/environment/skills/state-space-linearization .claude/skills/state-space-linearization && rm -rf skills-srcUse ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.
Claude Code skills documentation · loads skills from .claude/skills/
Install the "state-space-linearization" agent skill from https://github.com/benchflow-ai/skillsbench/tree/main/tasks/r2r-mpc-control/environment/skills/state-space-linearization into .claude/skills/state-space-linearization/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "state-space-linearization", then confirm the skill loads.Claude Code copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$skill-installer install https://github.com/benchflow-ai/skillsbench/tree/main/tasks/r2r-mpc-control/environment/skills/state-space-linearizationType this inside Codex. $skill-installer <name> installs a curated skill from openai/skills. The installer writes to $CODEX_HOME/skills (default ~/.codex/skills). Restart Codex if the skill does not show up.
$ npx skills add benchflow-ai/skillsbench --skill state-space-linearization -a codexProject install goes to .agents/skills/; add -g for ~/.codex/skills/.
$ gh skill install benchflow-ai/skillsbench state-space-linearization --agent codexProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/benchflow-ai/skillsbench.git skills-src && mkdir -p .agents/skills && cp -r skills-src/tasks/r2r-mpc-control/environment/skills/state-space-linearization .agents/skills/state-space-linearization && rm -rf skills-srcUse ~/.agents/skills/ instead of .agents/skills for a personal install.
Codex skills documentation · loads skills from .agents/skills/
Install the "state-space-linearization" agent skill from https://github.com/benchflow-ai/skillsbench/tree/main/tasks/r2r-mpc-control/environment/skills/state-space-linearization into .agents/skills/state-space-linearization/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "state-space-linearization", then confirm the skill loads.Codex copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ npx skills add benchflow-ai/skillsbench --skill state-space-linearization -a cursorProject install goes to .agents/skills/; add -g for ~/.cursor/skills/.
$ gh skill install benchflow-ai/skillsbench state-space-linearization --agent cursorProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/benchflow-ai/skillsbench.git skills-src && mkdir -p .cursor/skills && cp -r skills-src/tasks/r2r-mpc-control/environment/skills/state-space-linearization .cursor/skills/state-space-linearization && rm -rf skills-srcUse ~/.cursor/skills/ instead of .cursor/skills for a personal install.
Cursor skills documentation · loads skills from .cursor/skills/, .agents/skills/, .claude/skills/, .codex/skills/
Install the "state-space-linearization" agent skill from https://github.com/benchflow-ai/skillsbench/tree/main/tasks/r2r-mpc-control/environment/skills/state-space-linearization into .cursor/skills/state-space-linearization/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "state-space-linearization", then confirm the skill loads.Cursor copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ gemini skills install https://github.com/benchflow-ai/skillsbench.git --path tasks/r2r-mpc-control/environment/skills/state-space-linearization--scope user (default) or --scope workspace; --path is the subfolder of the repo that holds the skill; --consent skips the security confirmation prompt.
$ npx skills add benchflow-ai/skillsbench --skill state-space-linearization -a gemini-cliProject install goes to .agents/skills/; add -g for ~/.gemini/skills/.
$ gh skill install benchflow-ai/skillsbench state-space-linearization --agent gemini-cliProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/benchflow-ai/skillsbench.git skills-src && mkdir -p .gemini/skills && cp -r skills-src/tasks/r2r-mpc-control/environment/skills/state-space-linearization .gemini/skills/state-space-linearization && rm -rf skills-srcUse ~/.gemini/skills/ instead of .gemini/skills for a personal install, then run /skills reload.
Gemini CLI skills documentation · loads skills from .gemini/skills/, .agents/skills/
Install the "state-space-linearization" agent skill from https://github.com/benchflow-ai/skillsbench/tree/main/tasks/r2r-mpc-control/environment/skills/state-space-linearization into .gemini/skills/state-space-linearization/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "state-space-linearization", then confirm the skill loads.Gemini CLI copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ gh skill install benchflow-ai/skillsbench state-space-linearizationInstalls for Copilot at project scope by default; add --scope user for a personal install. Preview a skill first with gh skill preview. Needs GitHub CLI 2.90.0 or later (public preview).
$ npx skills add benchflow-ai/skillsbench --skill state-space-linearization -a github-copilotProject install goes to .agents/skills/; add -g for ~/.copilot/skills/.
$ git clone --depth 1 https://github.com/benchflow-ai/skillsbench.git skills-src && mkdir -p .github/skills && cp -r skills-src/tasks/r2r-mpc-control/environment/skills/state-space-linearization .github/skills/state-space-linearization && rm -rf skills-srcUse ~/.copilot/skills/ instead of .github/skills for a personal install. Commit .github/skills so cloud agent and code review can use it.
GitHub Copilot skills documentation · loads skills from .github/skills/, .claude/skills/, .agents/skills/
Install the "state-space-linearization" agent skill from https://github.com/benchflow-ai/skillsbench/tree/main/tasks/r2r-mpc-control/environment/skills/state-space-linearization into .github/skills/state-space-linearization/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "state-space-linearization", then confirm the skill loads.GitHub Copilot copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ npx skills add benchflow-ai/skillsbench --skill state-space-linearization -a opencodeOpenCode documents no install command of its own. Project install goes to .agents/skills/; add -g for ~/.config/opencode/skills/.
$ gh skill install benchflow-ai/skillsbench state-space-linearization --agent opencodeProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/benchflow-ai/skillsbench.git skills-src && mkdir -p .opencode/skills && cp -r skills-src/tasks/r2r-mpc-control/environment/skills/state-space-linearization .opencode/skills/state-space-linearization && rm -rf skills-srcUse ~/.config/opencode/skills/ instead of .opencode/skills for a personal install.
OpenCode skills documentation · loads skills from .opencode/skills/, .claude/skills/, .agents/skills/
Install the "state-space-linearization" agent skill from https://github.com/benchflow-ai/skillsbench/tree/main/tasks/r2r-mpc-control/environment/skills/state-space-linearization into .opencode/skills/state-space-linearization/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "state-space-linearization", then confirm the skill loads.OpenCode copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
Facts
- Skill name
state-space-linearization- GitHub stars
- 1.8k
- Token cost
- ~248 tokens
- SKILL.md length
- 64 words
- Files
- 1
- Skills in repo
- 180
- Repo updated
- First seen
- Licence
- Apache-2.0
At a glance
Linearizing nonlinear dynamics around operating points for control design.
- SKILL.md covers Jacobian Computation, Discretization, For R2R Systems and Tips
- Instructions only: no scripts, shell commands, URLs or credentials in SKILL.md
What it does
State Space Linearization is an agent skill from benchflow-ai/skillsbench. Linearizing nonlinear dynamics around operating points for control design.
Its SKILL.md is about 250 tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.
The repository describes itself as: SkillsBench evaluates how well skills work and how effective agents are at using them. The licence is Apache-2.0.
Example prompts
- “/state-space-linearization”
Requirements
- Python 3
What it can do on your machine
Read from SKILL.md and the folder at commit 9a1f4dd. It shows what the files ask for, not the result of running them.
Tool permissions
Pre-approves nothing: there is no allowed-tools line, so your agent's usual permission prompts apply.
From allowed-tools in the SKILL.md frontmatter.
Runs code
No scripts in the folder and no shell commands in SKILL.md (its code samples are python).
From the folder's file list and the shell code blocks in SKILL.md.
Network
No URLs in SKILL.md.
From URLs in SKILL.md, links to its own repository left out.
Credentials
Names no API keys, tokens, secrets or passwords.
From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.
Context cost
State Space Linearization loads about 248 tokens when it runs. Until then it costs about 25 tokens; SKILL.md has 64 words of instructions outside code blocks.
Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.
Safety
Auto-check passed
The automated check found no risky patterns in SKILL.md.
Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.
SKILL.md
The full file from benchflow-ai/skillsbench at commit 9a1f4dd, republished under its Apache-2.0 licence (© benchflow-ai). 64 words, ~248 tokens.
Download SKILL.mdSave it as
.claude/skills/state-space-linearization/SKILL.md (or your agent's skills folder).- name
- state-space-linearization
- description
- Linearizing nonlinear dynamics around operating points for control design.
State-Space Linearization
Jacobian Computation
For nonlinear dynamics dx/dt = f(x, u), linearize around (x_ref, u_ref):
A = ∂f/∂x |_{x_ref} (n×n matrix)
B = ∂f/∂u |_{x_ref} (n×m matrix)Discretization
For discrete-time control with timestep dt:
Euler method (simple, first-order accurate):
A_d = I + dt * A_c
B_d = dt * B_cMatrix exponential (exact for LTI):
A_d = expm(A_c * dt)
B_d = inv(A_c) @ (A_d - I) @ B_cFor R2R Systems
The Jacobian depends on current tensions and velocities. Key partial derivatives:
∂(dT_i/dt)/∂T_i = -v_i / L
∂(dT_i/dt)/∂v_i = EA/L - T_i/L
∂(dv_i/dt)/∂T_i = -R²/J
∂(dv_i/dt)/∂u_i = R/JTips
- Linearize around the reference operating point
- Update linearization if operating point changes significantly
- Check stability via eigenvalue analysis
© benchflow-ai, Apache-2.0. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file
Files
Just SKILL.md in tasks/r2r-mpc-control/environment/skills/state-space-linearization of benchflow-ai/skillsbench.
Open the folder on GitHubat commit 9a1f4dd
Compare with similar skills
State Space Linearization next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.
| Skill | Stars | Used in | Tokens | Auto-check | Licence | Repo updated |
|---|---|---|---|---|---|---|
| State Space Linearization this skillbenchflow-ai/skillsbench | 1.8k | — | ~248 | Automated safety check: Pass | Apache-2.0 | |
| Linearasgeirtj/system_prompts_leaks | 69k | — | ~653 | Automated safety check: Pass | CC0-1.0 | |
| Linearyc-software/qm | 15k | — | ~886 | Automated safety check: Pass | MIT | |
| Linear Issue Workflowlobehub/lobehub | 83k | — | ~1.5k | Automated safety check: Pass | Custom licence | |
| It Operationsdavila7/claude-code-templates | 32k | 1 repos | ~3.7k | Automated safety check: Pass | MIT | |
| Linearkaranhudia/borg-ui | 1.7k | — | ~1.7k | Automated safety check: Pass | AGPL-3.0 |
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Questions about State Space Linearization
What does State Space Linearization do?
Linearizing nonlinear dynamics around operating points for control design. State Space Linearization is an agent skill from benchflow-ai/skillsbench. Linearizing nonlinear dynamics around operating points for control design.
How do I install State Space Linearization in Claude Code?
Run `npx skills add benchflow-ai/skillsbench --skill state-space-linearization -a claude-code`. Or copy the skill folder (tasks/r2r-mpc-control/environment/skills/state-space-linearization in benchflow-ai/skillsbench) into .claude/skills/state-space-linearization in your project. Claude Code loads it when a task matches its description.
How do I install State Space Linearization in Codex?
Run `npx skills add benchflow-ai/skillsbench --skill state-space-linearization -a codex`. Or copy the skill folder (tasks/r2r-mpc-control/environment/skills/state-space-linearization in benchflow-ai/skillsbench) into .agents/skills/state-space-linearization in your project. Codex loads it when a task matches its description.
Can I use State Space Linearization in Cursor, Gemini CLI or GitHub Copilot?
Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add benchflow-ai/skillsbench --skill state-space-linearization -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/state-space-linearization, .gemini/skills/state-space-linearization, .github/skills/state-space-linearization and .opencode/skills/state-space-linearization in your project.
What does State Space Linearization need to run?
SKILL.md names no scripts, command-line tools or credentials: State Space Linearization is instructions for the agent only. Our summary lists: Python 3.
Does State Space Linearization access the network?
SKILL.md contains no URLs. Any network use would come from the scripts or tools the agent runs. This is read from the text; nothing was executed.
Is State Space Linearization safe to install?
Our automated static check of SKILL.md found no risky patterns, such as piping downloads into a shell, reading credential files or hidden Unicode. It is not a guarantee. Review the folder before installing.
What licence does State Space Linearization use?
State Space Linearization is published under the Apache-2.0 licence (the repository's licence). It allows redistribution, so the full SKILL.md is shown on this page.
How many tokens does State Space Linearization use?
About 248 tokens (SKILL.md is roughly 992 characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.
What are the alternatives to State Space Linearization?
Skills that share tags, products or a category with State Space Linearization: Linear (asgeirtj/system_prompts_leaks, 69k stars), Linear (yc-software/qm, 15k stars), Linear Issue Workflow (lobehub/lobehub, 83k stars) and It Operations (davila7/claude-code-templates, 32k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.
Who maintains State Space Linearization?
benchflow-ai (a GitHub organization) maintains it in benchflow-ai/skillsbench, which has 1,832 GitHub stars. The repository holds 180 skills in this directory. The repository was last updated on July 23, 2026.
Source: benchflow-ai/skillsbench on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.