Generalized Two-Dimensional Kalman-Yakubovich-Popov Lemma for Discrete Roesser Model

作者：Yang, Ran^*; Xie, Lihua; Zhang, Cishen

来源：IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2008, 55(10): 3223-3233.

DOI：10.1109/TCSI.2008.923284

• Bounded and positive realness
• Kalman-Yakubovich-Popov (KYP) lemma
• Roesser model
• two-dimensional (2-D) digital filters
• 2-D systems

Kalman-Yakubovich-Popov (KYP) lemma has played a significant role in one-dimensional systems theory. However, there has been no two-dimensional (2-D) KYP lemma in the literature, even for the infinite frequency domain. This paper develops a generalized KYP lemma for 2-D systems described by discrete Roesser model. The generalized KYP lemma relates frequency-domain properties of the 2-D system, such as positive realness and bounded realness over any given rectangular frequency domain, to a linear matrix inequality, enabling efficient computation for both the analysis and the design. As special cases of the lemma, 2-D bounded realness and positive realness are investigated. Numerical examples on the design of 2-D digital filters are given to demonstrate the relevance of the lemma.

• 出版日期2008-11
• 单位中山大学; 南阳理工学院