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This article is cited in 2 scientific papers (total in 2 papers)
A control procedure for total set of Lyapunov invariants for linear systems in nondegenerate case
A. A. Kozlov Institute of Mathematics of the National Academy of Sciences of Belarus
Abstract:
Let the differential system $\dot{x}=(A(t)+B(t)U(t))x$, $x\in\mathbb{R}^n$, $t\ge 0$ has bounded piecewise continuous square coefficient matrices $A$ and $B$ and let the control matrix $U$ be of the same type. It is proved that the total Lyapunov invariants set of this system is globolly controllable if there exist numbers $\sigma>0$ and $\alpha>0$ such that the inequality $\int_{t_0}^{t_0+\sigma}|{\det B(\tau)}|\,d\tau\ge\alpha$ holds for all $t_0\ge 0$.
Received: 02.05.2007
Citation:
A. A. Kozlov, “A control procedure for total set of Lyapunov invariants for linear systems in nondegenerate case”, Tr. Inst. Mat., 15:2 (2007), 33–37
Linking options:
https://www.mathnet.ru/eng/timb95 https://www.mathnet.ru/eng/timb/v15/i2/p33
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Abstract page: | 194 | Full-text PDF : | 109 | References: | 25 |
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