TY - GEN
T1 - Stability tests for 2-D systems
T2 - 5th IFAC Symposium on Robust Control Design, ROCOND'06
AU - Fu, Peilin
AU - Chen, Jie
AU - Niculescu, Silviu-Iulian
PY - 2006
Y1 - 2006
N2 - This paper studies the stability of 2-D dynamic systems. We consider systems characterized by 2-D polynomials and 2-D state-space descriptions. For each description, we derive necessary and sufficient stability conditions, which all require only the computation of a constant matrix pencil. The stability of the underlying system can then be determined exactly by inspecting the generalized eigenvalues of the matrix pencil. The results consequently furnish 2-D stability tests that can be checked both efficiently and with high precision. Additionally, frequency-sweeping tests are also obtained which complement the matrix-pencil tests and are likely to be more advantageous analytically. © IFAC 2005.
AB - This paper studies the stability of 2-D dynamic systems. We consider systems characterized by 2-D polynomials and 2-D state-space descriptions. For each description, we derive necessary and sufficient stability conditions, which all require only the computation of a constant matrix pencil. The stability of the underlying system can then be determined exactly by inspecting the generalized eigenvalues of the matrix pencil. The results consequently furnish 2-D stability tests that can be checked both efficiently and with high precision. Additionally, frequency-sweeping tests are also obtained which complement the matrix-pencil tests and are likely to be more advantageous analytically. © IFAC 2005.
KW - 2-D system
KW - Generalized eigenvalue
KW - Matrix pencil
KW - Stability
UR - https://www.scopus.com/pages/publications/80051597213
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-80051597213&origin=recordpage
U2 - 10.3182/20060705-3-fr-2907.00073
DO - 10.3182/20060705-3-fr-2907.00073
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9783902661104
SP - 423
EP - 428
BT - IFAC Proceedings Volumes (IFAC-PapersOnline)
Y2 - 5 July 2006 through 7 July 2006
ER -