Stabilization of Linear Systems by Noise
It is proved that the biggest Lyapunov number $\lambda _{\max } $ of the system $\dot x = (A + F(t))x$, where $A$ is a fixed $d \times d$ matrix and $F(t)$ is a zero mean strictly stationary matrix-va...
It is proved that the biggest Lyapunov number $\lambda _{\max } $ of the system $\dot x = (A + F(t))x$, where $A$ is a fixed $d \times d$ matrix and $F(t)$ is a zero mean strictly stationary matrix-va...
On the Relation of Zakai's and Mortensen's Equations
The problem of optimal control for partially observable diffusion processes is studied by the dynamic programming in function space approach first proposed by R. E. Mortensen. The density of the condi...
The problem of optimal control for partially observable diffusion processes is studied by the dynamic programming in function space approach first proposed by R. E. Mortensen. The density of the condi...
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A Lyapunov-Like Characterization of Asymptotic Controllability
SIAM J. Control Optim. Volume 21, Issue 3, pp. 462-471 (May 1983)
Issue Date: May 1983
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It is shown that a control system in ${\bf R}^n $ is asymptotically controllable to the origin if and only if there exists a positive definite continuous functional of the states whose derivative can be made negative by appropriate choices of controls.
©1983 Society for Industrial and Applied Mathematics
| History: | Received 1981-05-18 |
| Permalink: | http://dx.doi.org/10.1137/0321028 |
KEYWORDS and AMS
PUBLICATION DATA
0363-0129 (print)
1095-7138 (online)
SIAM