{"id":4851,"date":"2024-12-19T06:07:41","date_gmt":"2024-12-19T06:07:41","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=4851"},"modified":"2024-12-19T06:10:16","modified_gmt":"2024-12-19T06:10:16","slug":"amt-458-2-0-applied-optimal-control","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/amt-458-2-0-applied-optimal-control\/","title":{"rendered":"AMT 458 2.0 Applied Optimal Control"},"content":{"rendered":"

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Course:\u00a0AMT 458 2.0 Applied Optimal Control<\/strong>\u00a0(Optional)<\/strong><\/p>\n\n

Course content:<\/strong><\/p>\n\n

Part I – Preliminaries: Function optimization, Conditional relationships: necessity and sufficiency, Computational tools. Part II – Calculus of Variations:Functionals and variations, Extremums of integral functionals,\u00a0\u00a0 Euler-Lagrange equation, Problem-based analysis – Variational problems, Outlook on necessary and sufficient conditions – Variational problems. Part III – Optimal Control:Cost functions and control systems, Optimality of controls, Hamiltonian approach, Pontryagin maximum principle, Problem-based analysis – Optimal control problems, Outlook on necessary and sufficient conditions – Optimal control problems, Numerical solutions of optimal control problems<\/p>\n\n

Recommended Readings:<\/strong><\/p>\n\n

    \n
  1. Functional Analysis, Calculus of Variations and Optimal Control – Francis Clarke (Springer, 2013)<\/li>\n
  2. \u00a0Functional Analysis, Calculus of Variations and Optimal Control – Francis Clarke (Springer, 2013)<\/li>\n
  3. A Primer on the Calculus of Variations and Optimal Control Theory – Mike Mesterton-Gibbons (American Mathematical Society, 2009)<\/li>\n
  4. Calculus of Variations: An Introduction to the One-Dimensional Theory with Examples and Exercises – Hansj\u00f6rg Kielh\u00f6fer (Springer, 2018)<\/li>\n
  5. Optimal Control Applied to Biological Models – Suzanne Lenhart and John T. Workman (Chapman & Hall\/CRC, 2007)<\/li>\n
  6. An Introduction to Optimal Control Problems in Life Sciences and Economics – Sebastian Ani\u0163a, Viorel Arn\u04d1utu and Vincenzo Capasso (Birkhu\u00e4ser, 2011)<\/li>\n
  7. Introduction to Optimal Control Theory – Jack Macki and Aaron Strauss (Springer, 1982)<\/li>\n<\/ol>\n

    [\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/section>","protected":false},"excerpt":{"rendered":"

    [vc_row][vc_column][vc_column_text] Course:\u00a0AMT 458 2.0 Applied Optimal Control\u00a0(Optional) Course content: Part I – Preliminaries: Function optimization, Conditional relationships: necessity and sufficiency, Computational tools. Part II – Calculus of Variations:Functionals and variations, Extremums of integral functionals,\u00a0\u00a0 Euler-Lagrange equation, Problem-based analysis – Variational problems, Outlook on necessary and sufficient conditions – Variational problems. Part III – Optimal Control:Cost … Continue reading AMT 458 2.0 Applied Optimal Control<\/span><\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4851"}],"collection":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/comments?post=4851"}],"version-history":[{"count":3,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4851\/revisions"}],"predecessor-version":[{"id":4856,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4851\/revisions\/4856"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=4851"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}