{"id":23167360,"url":"https://github.com/hsprcode/linear-matrix-inequalities","last_synced_at":"2025-08-18T06:32:21.950Z","repository":{"id":250641686,"uuid":"289537096","full_name":"hsprcode/Linear-Matrix-Inequalities","owner":"hsprcode","description":"Syntax for using YALMIP toolbox for control system design.","archived":false,"fork":false,"pushed_at":"2020-08-22T17:40:35.000Z","size":16,"stargazers_count":8,"open_issues_count":0,"forks_count":1,"subscribers_count":2,"default_branch":"master","last_synced_at":"2024-07-29T04:12:48.149Z","etag":null,"topics":["convex-optimization","linear-matrix-inequalities","optimal-control","yalmip"],"latest_commit_sha":null,"homepage":"https://en.wikibooks.org/wiki/LMIs_in_Control","language":"MATLAB","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/hsprcode.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2020-08-22T17:40:25.000Z","updated_at":"2024-07-29T04:12:50.969Z","dependencies_parsed_at":"2024-07-29T04:12:49.047Z","dependency_job_id":null,"html_url":"https://github.com/hsprcode/Linear-Matrix-Inequalities","commit_stats":null,"previous_names":["hsprcode/linear-matrix-inequalities"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/hsprcode%2FLinear-Matrix-Inequalities","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/hsprcode%2FLinear-Matrix-Inequalities/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/hsprcode%2FLinear-Matrix-Inequalities/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/hsprcode%2FLinear-Matrix-Inequalities/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/hsprcode","download_url":"https://codeload.github.com/hsprcode/Linear-Matrix-Inequalities/tar.gz/refs/heads/master","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":230207532,"owners_count":18190179,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["convex-optimization","linear-matrix-inequalities","optimal-control","yalmip"],"created_at":"2024-12-18T02:27:54.119Z","updated_at":"2024-12-18T02:28:01.644Z","avatar_url":"https://github.com/hsprcode.png","language":"MATLAB","readme":"# LMIs\nLinear Matrix Inequalities in Optimal and Robust Control.\nLinear Matrix Inequalities: Discrete-time systems - HARISHANKAR PRABHAKARAN. \nOne can find these LMIs in this book: https://arxiv.org/pdf/1903.08599.pdf . \nThis is a set of codes as sample programs for discrete time systems in the wikibook (pages I created are listed below and the respective MATLAB codes are available): https://en.wikibooks.org/wiki/LMIs_in_Control.\nTo run these MATLAB codes, YALMIP TOOLBOX and solvers such as SeDuMi or IBM CPLEX is Required.\n\nA1.m  - Discrete-Time Lyapunov Stability (Caverly 3.1.3)\nhttps://en.wikibooks.org/wiki/LMIs_in_Control/pages/Discrete_Time_Lyapunov_Stability\n\nA2.m  - Discrete-Time Bounded Real Lemma (H∞ norm) (Caverly 3.2.2)\nhttps://en.wikibooks.org/wiki/LMIs_in_Control/pages/Discrete_Time_Bounded_Real_Lemma\n\nA3.m  - Discrete-Time H2 Norm (Caverly 3.3.2)\nhttps://en.wikibooks.org/wiki/LMIs_in_Control/pages/Discrete-Time_H2_Norm\n\nA4.m  - Discrete-Time Stabilizability (Caverly 3.11.2)\nhttps://en.wikibooks.org/wiki/LMIs_in_Control/pages/Discrete_Time_Stabilizability\n\nA5.m  - Discrete-Time Detectability (Caverly 3.12.2)\nhttps://en.wikibooks.org/wiki/LMIs_in_Control/pages/Discrete_Time_Detectability\n\nA6.m  - 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