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Frequency‐domain criteria of robust stability: Discrete‐time and continuous‐time systems, a unified approach
Author(s) -
Tsypkin Y. Z.,
Furuta K.
Publication year - 1995
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4590050305
Subject(s) - discrete time and continuous time , stability (learning theory) , mathematics , control theory (sociology) , time domain , linear system , computer science , mathematical analysis , control (management) , statistics , machine learning , artificial intelligence , computer vision
This paper is concerned with the stability and robust stability of linear discrete‐time and continuous‐time systems. The characteristic polynomials of linear systems are transformed into the general polynomials of discrete‐time systems, and similarly to the hodogram of the discrete‐time system, the stability and the robust stability for the general characteristic polynomials with parameter uncertainty are analysed by using the zero exclusion method, where the order of the system is not used specifically a condition for a stability.