Necessary and Sufficient Conditions for Almost Sure Sample Stability of Linear Ito Equations
β Scribed by Kozin, F.; Prodromou, S.
- Book ID
- 118195556
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1971
- Tongue
- English
- Weight
- 794 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0036-1399
- DOI
- 10.1137/0121044
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Many processes in automatic regulation, physics, mechanics, biology, economy, ecology, etc. can be modelled by hereditary systems (see, e.g., [1][2][3][4]). One of the main problems for the theory of such systems and their applications is connected with stability (see, e.g., [2][3][4]). Many stabili
## Abstract A set of necessary and sufficient conditions is stated and proved for the absolute stability (under any passive terminations), in the βbiboβ sense, of a linear __n__βport characterized by its openβcircuit impedance matrix. A more explicit set of such conditions is derived for the specia