This article is about asymptotic stability of nonlinear systems. For stability of linear systems, see exponential stability. History · Stability for linear state space... · Example |
| Устойчивость Динамические системы |  |
Устойчивость — свойство решения дифференциального уравнения притягивать к себе другие решения при условии достаточной близости их начальных данных. В зависимости от характера притяжения выделяются различные виды устойчивости. Википедия
In this section we review the tools of Lyapunov stability theory. These tools will be used in the next section to analyze the stability properties. |
(called global exponential stability, and is stronger than G.A.S.) then, there is a Lyapunov function that proves the system is exponentially stable, i.e., ... |
Lyapunov stability theorem is a basic tool for stability analysis, and it gives sufficient conditions for stability, asymptotic stability, and so on. |
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A Lyapunov function is a scalar function established on phase space that can be used to show an equilibrium point's stability. |
Lyapunov Stability Game. □The adversary picks a region in the state ... □Lyapunov stability is weak---it does not even imply that x(t) converges to ... |
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