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Problemy Upravleniya, 2008, Issue 3, Pages 44–48
(Mi pu156)
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Analysis and synthesis of control systems
On roughness conditions for unstable nonautonomous linear systems in terms of stability type preservation
V. P. Zhukov Institute of Control Sciences, Russian Academy of Sciences
Abstract:
The paper discusses the conditions under which the instability of equilibrium condition of nonautonomous linear systems of any order grades into instability of equilibrium condition of corresponding nonlinear perturbed systems under certain class nonlinear perturbations of their right-hand members (unstable nonautonomous linear system roughness in terms of stability type preservation). Sufficient conditions of such roughness are formulated for certain classes of nonlinear perturbations).
Citation:
V. P. Zhukov, “On roughness conditions for unstable nonautonomous linear systems in terms of stability type preservation”, Probl. Upr., 2008, no. 3, 44–48
Linking options:
https://www.mathnet.ru/eng/pu156 https://www.mathnet.ru/eng/pu/v3/p44
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Statistics & downloads: |
Abstract page: | 109 | Full-text PDF : | 61 | References: | 12 |
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