Scholarlink

This chapter provides an overview on recently recovered qualitative property of linear time-invariant time-delay systems admitting real spectral values. In fact, in recent studies, it has been shown that time-delay systems admitting a number of real spectral values equal to the Pólya-Szegő bound admit necessarily a real rightmost spectral value, a property called coexistent real roots-induced dominancy (CRRID). This property has been exploited in a new control paradigm called partial pole placement allowing to exactly prescribe the exponential decay of the control system solution. After introducing the theoretical foundation of such a prescribed stabilization, the problem of control of active vibration is considered, illustrating the effectiveness of the method.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Characteristic Real Roots and CRRID Property of Time-Delay Systems: Recent Results and Prospective

  • 会议论文

  • 发表日期：

    2026年

查看全文
  • Fazia Bedouhene,
  • Timothée Schmoderer,
  • Islam Boussaada,
  • Sami Tliba,
  • Silviu-Iulian Niculescu

摘要

This chapter provides an overview on recently recovered qualitative property of linear time-invariant time-delay systems admitting real spectral values. In fact, in recent studies, it has been shown that time-delay systems admitting a number of real spectral values equal to the Pólya-Szegő bound admit necessarily a real rightmost spectral value, a property called coexistent real roots-induced dominancy (CRRID). This property has been exploited in a new control paradigm called partial pole placement allowing to exactly prescribe the exponential decay of the control system solution. After introducing the theoretical foundation of such a prescribed stabilization, the problem of control of active vibration is considered, illustrating the effectiveness of the method.