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<p>Rank minimization is a fundamental optimization framework that underlies many modern control design problems including model reduction, sensor and actuator placement, and distributed controller design. This survey consolidates classical results and recent advances, with a special focus on their applications to networked control systems (NCS) where communication constraints, delays, and topology play a critical role. We review problem formulations, mathematical background, various applications, solution strategies, computational tools, and finally, illustrate the concepts through representative examples.</p>

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Rank Minimization in Networked Control Systems: A Brief Survey

  • 期刊论文

  • 发表日期：

    2026年2月6日

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  • Yoonsoo Kim,
  • Mehran Mesbahi

摘要

Rank minimization is a fundamental optimization framework that underlies many modern control design problems including model reduction, sensor and actuator placement, and distributed controller design. This survey consolidates classical results and recent advances, with a special focus on their applications to networked control systems (NCS) where communication constraints, delays, and topology play a critical role. We review problem formulations, mathematical background, various applications, solution strategies, computational tools, and finally, illustrate the concepts through representative examples.