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2-Regularized Nyquist Criterion in Linear Continuous-Time Periodic Systems and Its Implementation.
- Source :
-
SIAM Journal on Control & Optimization . 2005, Vol. 44 Issue 2, p618. 28p. - Publication Year :
- 2005
-
Abstract
- First, by using the 2-regularized determinant technique for Hilbert--Schmidt operators, the computation formula, infinite-product convergence, and analyticity of the 2-regularized determinant of the modified harmonic state operator in finite-dimensional linear continuous-time periodic (FDLCP) systems are derived in this paper. Second, based on these results, a 2-regularized Nyquist criterion is established for asymptotic stability analysis of a class of FDLCP systems for the first time. Third, a numeric implementation algorithm for the 2-regularized Nyquist criterion is also proposed via the staircase truncation on the harmonic transfer operator of the FDLCP system concerned. Finally, to illustrate the results of this paper, asymptotic stability of the lossy Mathieu differential equation is investigated. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR operators
*LINEAR systems
*SYSTEMS theory
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 44
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 18245382
- Full Text :
- https://doi.org/10.1137/S0363012902416900