Bibliographic Details
| Title: |
A Study on the Spectrum of the Sampled-Data Transfer Operator with Application to Robust Exponential Stability Problems. |
| Authors: |
Hagiwara, Tomomichi1 hagiwara@kuee.kyoto-u.ac.jp |
| Source: |
SIAM Journal on Control & Optimization. 2005, Vol. 44 Issue 1, p313. 15p. |
| Subjects: |
Transfer operators, Operator theory, Exponential functions, Eigenvalues, Digital control systems |
| Abstract: |
This paper begins by studying some spectral properties of the transfer operators of sampled-data systems described by applying the lifting technique. Through a "nonasymptotic" characterization of the transfer operator, its spectrum is determined in terms of finite-dimensional eigenvalue problems. Then, it is shown that a close connection with such eigenvalue problems and the exponential stability condition can be exploited to study the robust internal (exponential) stability problem of sampled-data systems. Since the transfer operator is relevant to input-output characteristics, the relationship between input-output stability and internal stability is also discussed in the context of sampled-data systems. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
