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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/C3772FC4-B8E7-4228-BBD6-D49D9A8458D8 | ||
| Year | 2015 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
| License |
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| Bibliographic Citation | Υ. A. Phillis, "Y-stability and stabilization in the mean of discrete-time stochastic systems," Inte. J. of Control,vol. 40, no. 1, pp. 159-169, 1984.doi :10.1080/00207178408933264 https://doi.org/10.1080/00207178408933264 | ||
| Appears in Collections |
The concept of stochastic stability in the pth mean with respect to some of the state components of a discrete-time system with random initial conditions is developed. Conditions for stability and instability are proven involving suitable Lyapunov functions. These conditions are applied to the design of proper feedback to achieve stabilization with respect to some of the state components. A technique is presented which simplifies the stabilization problem for certain linear systems. The ideas of this paper are illustrated by examples.
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