Stability analysis of nonlinear Lyapunov systems associated with an \(n\)th order system of matrix differential equations. (Q1850704)
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scientific article; zbMATH DE number 1844037
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability analysis of nonlinear Lyapunov systems associated with an \(n\)th order system of matrix differential equations. |
scientific article; zbMATH DE number 1844037 |
Statements
Stability analysis of nonlinear Lyapunov systems associated with an \(n\)th order system of matrix differential equations. (English)
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10 December 2002
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This paper introduces the notion of Lipschitz stability for nonlinear \(n\)th order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for the solution of the nonhomogeneous nonlinear \(n\)th order matrix Lyapunov differential system. We study observability and controllability of a special system of \(n\)th order nonlinear Lyapunov systems.
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0.8260741233825684
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0.8039105534553528
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0.8001829981803894
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