Splet03. maj 2024 · Abstract: In this paper, the criterion used to determine whether a density perturbation will collapse to form a primordial black hole (PBH) is re-examined, in … Splet01. avg. 2024 · Furthermore, Popov–Belevitch–Hautus (PBH) criterion is obtained for observability of mean-field stochastic periodic systems. By the proposed spectral criterion of stability/observability, the intrinsic relationships are clarified for stability/observability among deterministic periodic systems, stochastic periodic systems and mean-field ...
The Stability and Stabilization of Stochastic Delay-Time Systems
SpletAbstract: In this paper, the PBH criterion of controllability of linear systems over the real field is extend to the systems over the rational function field F(z). Since the real field is a … Splet06. feb. 2024 · Using the Popov-Belevitch-Hautus (PBH) criterion, we prove for the first time that a ring-road mixed traffic system with one CAV and multiple heterogeneous human-driven vehicles is not completely controllable, but is stabilizable under a very mild condition. Then, we formulate the design of a system-level control strategy for the CAV as a ... felony expungement in california
Controllability Analysis and Optimal Control of Mixed Traffic Flow …
SpletIn control theory and in particular when studying the properties of a linear time-invariant system in state space form, the Hautus lemma (after Malo L. J. Hautus), also commonly … Splet29. nov. 2015 · The algorithm based on information transfer matrix of the multi-agent network topology structure and according to maximum multiplicity of its eigenvalue, the number of pinning nodes is obtained when the network controllable, then, using the control theory of PBH criterion to identify the specific pinned node and the pinning flocking … Splet03. maj 2024 · In this paper, the criterion used to determine whether a density perturbation will collapse to form a primordial black hole (PBH) is re-examined, in respect of its use to determine the abundance of PBHs. There is particular focus on which parameter to use, the time at which the abundance should be calculated, and the use of different smoothing … definition of katana