Title :
New examples of stable LTV systems with eigenvalues in the ORHP
Author :
Chiu-Hua Tseng ; I-Kong Fong
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
By extending the use of the Floquet decomposition theory, a method based on linear matrix inequalities (LMI) is devised to generate a class of linear time-varying systems with the property that the system stability is not characterized by point wise-in-time eigenvalues, as in the linear time-invariant case. Unlike the well-known Markus-Yamabe example, more general non-periodic systems with time-varying pointwise-in-time eigenvalues can be constructed by this method.
Keywords :
eigenvalues and eigenfunctions; invariance; linear matrix inequalities; linear systems; stability; time-varying systems; Floquet decomposition theory; LMI; LTV system stability; ORHP; general nonperiodic systems; linear matrix inequalities; linear time-invariant case; linear time-varying systems; point wise-in-time eigenvalues; time-varying pointwise-in-time eigenvalues; Asymptotic stability; Eigenvalues and eigenfunctions; Linear matrix inequalities; Matrix decomposition; Stability criteria; Time-varying systems; Floquet decomposition; LMI; Stability; Time-varying systems;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
