Sentence examples for stability definition from inspiring English sources
We here recall mean square stability definition, which is based on that given in [3].
By evaluating the stability according to the linearized stability definition, the critical parameters for outbreaks of brown tide can be theoretically determined.
When a state is stable for all of the DMs according to a specific stability definition, the state constitutes an equilibrium or possible compromise resolution.
By using the exponential mean-square stability definition, the stability condition with an H∞ performance is guaranteed for the fuzzy system with the sampled-data fuzzy filter, and its sufficient condition is converted into the linear matrix inequality (LMI) format.
In the sequel, (F(T ={xin K: Tx=x}) denotes the set of fixed points of T. We give the stability definition for the sequence ({x_{n}}) defined by (1.4).
Qualitative explanations of how each stability definition works along with its overall characteristics are provided in Table 15, while Fang et al. (1993) furnish mathematical definitions within the paradigm of GMCR.
The novelty of our paper is considering a new type of equation (2), then presenting a generalized Ulam-Hyers-Rassias stability definition and finding reasonable conditions on equation (2) to show that equation (2) is generalized Ulam-Hyers-Rassias stable.
The above definition of stability of queues corresponds to a "time-observed" version of the stability definition used in standard practice [12, 20, 21], according to which the queue length is finite with probability one.
Table 4 The results of stability analysis for the Iran Iraq conflict (Stag-Hunt game) Stability definition (LER, LER) (LER, MER) (MER, LER) (MER, MER) Stable for Iran Iraq Iran Iraq Iran Iraq Iran Iraq Nash (R) ✓ ✓ ✓ ✓ GMR ✓ ✓ ✓ ✓ ✓ ✓ SMR ✓ ✓ ✓ ✓ ✓ ✓ SEQ ✓ ✓ ✓ ✓ L 2 ✓ ✓ L 3 ✓ ✓ Non-Myopic (L 4) ✓ ✓ .
Stability definitions can be found in [8].
Before doing this, we recall some relevant stability definitions for the Volterra equation (2.3).
