Title :
Characterisations of the “mixed” small gain and passivity property for linear systems in discrete time
Author :
Griggs, Wynita M. ; Ordonez-Hurtado, Rodrigo H. ; Sajja, S.S.K. ; Lanzon, A. ; Shorten, Robert N.
Author_Institution :
Hamilton Inst., Nat. Univ. of Ireland Maynooth, Maynooth, Ireland
Abstract :
Characterisations of “mixed” systems are presented in a discrete-time setting. First, a feedback stability result based on the Nyquist stability theorem is presented. Second, an eigenvalue-based characterisation of “mixed” systems based on their state-space data is derived. The results are analogous to previous results presented for the continuous-time case and provide a foundation for further study concerning the discretisation of “mixed” systems.
Keywords :
discrete time systems; eigenvalues and eigenfunctions; feedback; linear systems; stability; state-space methods; Nyquist stability theorem; discrete-time setting; eigenvalue-based characterisation; feedback stability; linear system; passivity property; small gain property; state-space data; Circuit stability; Discrete-time systems; Educational institutions; Eigenvalues and eigenfunctions; Stability criteria; Transfer functions;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
