Multirate periodic systems and constrained analytic function interpolation problems

作者：Chai L I^*; Qiu L I

来源：SIAM Journal on Control and Optimization, 2005, 43(6): 1972-1986.

DOI：10.1137/S0363012903430056

• Linear time invariant (LTI)
• Multirate periodic system
• Multirate system
• Nevanlinna-Pick interpolation
• Periodic system

Multirate periodic systems and some related constrained analytic function interpolation problems are studied in this paper. After showing how to convert a general multirate periodic system to an equivalent linear time invariant (LTI) system with a structural constraint, we formulate some analytic function interpolation problems with such a constraint that can find various applications in the study of multirate and periodic systems. Both the solvability conditions and characterization of all solutions are presented to these constrained interpolation problems. ? 2005 Society for Industrial and Applied Mathematics.

• 出版日期2005