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- W1516420901 abstract "This paper is concerned with the controllability of a class of linear fractional differential systems with singularity. The method which is used to deal with the fast subsystem<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mo>·</mml:mo></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msup><mml:msubsup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>u</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:msub><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>is an improvement of the known ones. Based on the movement orbit of the state equation, we obtain several controllability criteria which are sufficient and necessary." @default.
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- W1516420901 date "2015-01-01" @default.
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- W1516420901 title "Complete Controllability of Linear Fractional Differential Systems with Singularity" @default.
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- W1516420901 doi "https://doi.org/10.1155/2015/158653" @default.
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