Marine outlet glacier dynamics, steady states and steady-state stability

Ice sheet grounding line dynamics: Steady states, stability, and hysteresis

[1] The ice sheet–ice shelf transition zone plays an important role in controlling marine ice sheet dynamics, as it determines the rate at which ice flows out of the grounded part of the ice sheet. Together with accumulation, this outflow is the main control on the mass balance of the grounded sheet. In this paper, we verify the results of a boundary layer theory for ice flux in the transition ...

Flat steady states in stellar dynamics—existence and stability

We consider a special case of the three dimensional Vlasov-Poisson system where the particles are restricted to a plane, a situation that is used in astrophysics to model extremely flattened galaxies. We prove the existence of steady states of this system. They are obtained as minimizers of an energy-Casimir functional from which fact a certain dynamical stability property is deduced. From a ma...

Stability of Steady States for Thin Film

Lecture 10c: Steady-state System Tracking and System Stability Steady-state Tracking and System Type

In general, we would like to investigate the steady-state performance of a feedback system to disturbances and/or reference inputs that are not only constants, but can be expressed as arbitrary polynomials in time. Assuming that the system under consideration is stable, we classify such systems into system types depending to the polynomial degree for which the tracking error is constant. System...

Robustness Of Steady - State Stability In PowerSystems

In this paper we systematically derive a linear model for an n bus m machine system with nonlinear voltage dependent loads at the network buses. The model is versatile and can be used to study diierent phenomena such as steady-state stability, voltage stability, etc. In addition to obtaining the system A matrix, we also obtain a transfer function between load voltages/angles and real/reactive p...