Two Equivalence Theorems of Different Kinds of Optimal Control Problems for Schrödinger Equations
This paper builds up two equivalence theorems for different kinds of optimal control problems of internally controlled Schrodinger equations. The first one is an equivalence of the minimal norm and the minimal time control problems where the target sets are the origin of the state space. (The minima...
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| Veröffentlicht in: | SIAM journal on control and optimization 2015-01, Vol.53 (2), p.926-947 |
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| container_title | SIAM journal on control and optimization |
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| creator | Zhang, Yubiao |
| description | This paper builds up two equivalence theorems for different kinds of optimal control problems of internally controlled Schrodinger equations. The first one is an equivalence of the minimal norm and the minimal time control problems where the target sets are the origin of the state space. (The minimal time control problems are also called the first type of optimal time control problems.) The second one is an equivalence of three optimal control problems: optimal target control problems, optimal norm control problems, and the second type of optimal time control problems. |
| doi_str_mv | 10.1137/130941195 |
| format | Article |
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The first one is an equivalence of the minimal norm and the minimal time control problems where the target sets are the origin of the state space. (The minimal time control problems are also called the first type of optimal time control problems.) 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The second one is an equivalence of three optimal control problems: optimal target control problems, optimal norm control problems, and the second type of optimal time control problems.</description><subject>Accumulation</subject><subject>Equivalence</subject><subject>Norms</subject><subject>Optimal control</subject><subject>Optimization</subject><subject>Origins</subject><subject>Schroedinger equation</subject><subject>Theorems</subject><issn>0363-0129</issn><issn>1095-7138</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNo9kM1KAzEYRYMoWKsL3yBLXYzmSybJZCm1VbFQwboeMvmxI9OkTaaKL-YL-GK2VlxduBwO3IvQOZArACavgRFVAih-gAZAFC8ksOoQDQgTrCBA1TE6yfmNEChLKAeomX9EPF5v2nfduWAcni9cTG6ZcfT4tvXeJRd6_NgG-1vNVn271B0exdCn2OGnFJtuh_uY8LNZpO8v24ZXl3ZS3bcx5FN05HWX3dlfDtHLZDwf3RfT2d3D6GZaGKpkX4CgVFFCjRRaEguGW1VS3jglpPKCGUEtSGs0ExYaUZau4g3XhNtGmqrybIgu9t5ViuuNy329bLNxXaeDi5tcg6h4BZJLuUUv96hJMefkfL1K21npswZS736s_39kPwAbZXc</recordid><startdate>201501</startdate><enddate>201501</enddate><creator>Zhang, Yubiao</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201501</creationdate><title>Two Equivalence Theorems of Different Kinds of Optimal Control Problems for Schrödinger Equations</title><author>Zhang, Yubiao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c297t-16229202c76a70d1c5d9425be9679f63c62d17dca36d1b644e85b5a05db7c88f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Accumulation</topic><topic>Equivalence</topic><topic>Norms</topic><topic>Optimal control</topic><topic>Optimization</topic><topic>Origins</topic><topic>Schroedinger equation</topic><topic>Theorems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Yubiao</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>SIAM journal on control and optimization</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Yubiao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Two Equivalence Theorems of Different Kinds of Optimal Control Problems for Schrödinger Equations</atitle><jtitle>SIAM journal on control and optimization</jtitle><date>2015-01</date><risdate>2015</risdate><volume>53</volume><issue>2</issue><spage>926</spage><epage>947</epage><pages>926-947</pages><issn>0363-0129</issn><eissn>1095-7138</eissn><abstract>This paper builds up two equivalence theorems for different kinds of optimal control problems of internally controlled Schrodinger equations. The first one is an equivalence of the minimal norm and the minimal time control problems where the target sets are the origin of the state space. (The minimal time control problems are also called the first type of optimal time control problems.) The second one is an equivalence of three optimal control problems: optimal target control problems, optimal norm control problems, and the second type of optimal time control problems.</abstract><doi>10.1137/130941195</doi><tpages>22</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | SIAM journal on control and optimization, 2015-01, Vol.53 (2), p.926-947 |
| issn | 0363-0129 1095-7138 |
| language | eng |
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| source | SIAM Journals Online |
| subjects | Accumulation Equivalence Norms Optimal control Optimization Origins Schroedinger equation Theorems |
| title | Two Equivalence Theorems of Different Kinds of Optimal Control Problems for Schrödinger Equations |
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