Design of optimal control for a class of bilinear systems (Q1101677)

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scientific article; zbMATH DE number 4046504
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Design of optimal control for a class of bilinear systems
scientific article; zbMATH DE number 4046504

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    Design of optimal control for a class of bilinear systems (English)
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    1987
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    It is required to move to the origin of coordinates in a time-optimal manner a bilinear system that has a scalar control and commuting matrices. A necessary optimality condition is obtained with the use of auxiliary functions. A sufficient optimality condition is proved for an arbitrary differential inclusion. As a corollary, a sufficient optimality condition is obtained for bilinear systems. Examples of design are also presented.
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    necessary optimality condition
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    sufficient optimality condition
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    differential inclusion
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    bilinear systems
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    design
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