Polynomial controllers for linear systems

✍ Scribed by R.W. Barnard; W.P. Dayawansa; C.F. Martin

• Book ID: 104350878
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 563 KB
• Volume: 33
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/s0895-7177(00)00230-2

✦ Synopsis

In this paper, we study the problem of controlling a linear system with polynomial controls. We establish upper bounds of admissible polynomial controls in two special cases: systems with distinct eigenvalues and systems with all real eigenvalues. For certain other classes we show that the existence of such control of a minimum possible degree is equivalent to questions about the existence of multiple zeros for certain classes of entire functions.