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The approach is based on a new criterion for stability of equilibria of discrete-time invariant systems.
A positive definite second variation of the total energy is used as a sufficient criterion for stability of equilibrium configurations.
The criterion for stability of the hydrate layer is found to be xCO2H ≥ 0.098, where xCO2H is the mole fraction of CO2 in the hydrate layer.
Adapting the global (Maxwell's) criterion for stability, various phenomena, concerning the reorientation of the stress fibers, are interpreted into the context of finite elasticity.
A von Neumann stability analysis of the SPH algorithm has been carried out which identifies the criterion for stability or instability in terms of the stress state and the second derivative of the kernel function.
Using Lyapunov-Krasovskii functional method, and free-weight matrix method, a criterion for stability of systems is given.
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Then, the criteria for stability and stabilization of linear switched systems are obtained via a newly constructed switching strategy, which allows us to obtain exponential stability results.
Criteria for stability and spouting regime identification are discussed.
The numerical analysis of the approximation provides criteria for stability and convergence.
Finally, three possible criteria for stability evaluation of the rock masses were considered.
Different regulations for the design of concrete dams suggest various criteria for stability control of dams.
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Justyna Jupowicz-Kozak
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