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Robust Output Controllability Analysis and Control Design for Incomplete Boolean Networks with Disturbance Inputs

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  • Lei Deng
  • Shihua Fu
  • Ying Li
  • Peiyong Zhu

Abstract

This paper addresses the problems of robust-output-controllability and robust optimal output control for incomplete Boolean control networks with disturbance inputs. First, by resorting to the semi-tensor product technique, the system is expressed as an algebraic form, based on which several necessary and sufficient conditions for the robust output controllability are presented. Second, the Mayer-type robust optimal output control issue is studied and an algorithm is established to find a control scheme which can minimize the cost functional regardless of the effect of disturbance inputs. Finally, a numerical example is given to demonstrate the effectiveness of the obtained new results.

Suggested Citation

  • Lei Deng & Shihua Fu & Ying Li & Peiyong Zhu, 2018. "Robust Output Controllability Analysis and Control Design for Incomplete Boolean Networks with Disturbance Inputs," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-9, November.
    • Handle: RePEc:hin:jnlmpe:2940105
    DOI: 10.1155/2018/2940105
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