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Second‐Order Stochastic Input‐Output Stability and Instability of Interconnected Systems
Author(s) -
Gutmann R. L.,
Michel A. N.
Publication year - 1979
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19790591103
Subject(s) - instability , stability (learning theory) , computer science , order (exchange) , control theory (sociology) , frequency domain , domain (mathematical analysis) , discrete time and continuous time , time domain , mathematics , economics , control (management) , mathematical analysis , physics , statistics , finance , machine learning , artificial intelligence , mechanics , computer vision
New results for the second‐order stochastic input‐output stability and instability of large classes of continuous time and discrete time interconnected stochastic systems are established. The analysis is accomplished in terms of lower order subsystems and in terms of system interconnecting structure. When appropriate, frequency domain interpretations are emphasized. The method of analysis advanced herein is applied to three specific examples.