A two-stage information criterion for stochastic systems revisited

A generalized information criterion is proposed to determine an embedding dimension and a delay time for delay coordinates of the reconstructed dynamics both for linear stochastic and nonlinear deterministic processes. While the standard maximum likelihood type method requires statistical parametric models such as autoregressive models, the generalized information criterion is constructed from the quantity in accordance with the second-order Renyi entropy in terms of the correlation integral for the finite number of data which is directly obtained from a time delay vector. It is found numerically that the present method works well when applied to chaotic and stochastic systems.

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A two-stage dual suboptimal controller for stochastic systems using approximate moments

Automatica ◽

10.1016/0005-1098(94)90055-8 ◽

1994 ◽

Vol 30 (12) ◽

pp. 1949-1954 ◽

Cited By ~ 11

Author(s):

A.L. Maitelli ◽

T. Yoneyama

Keyword(s):

Stochastic Systems ◽

Two Stage ◽

Approximate Moments

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Two-Stage Generalized Projection Identification Algorithms for Stochastic Systems

Circuits Systems and Signal Processing ◽

10.1007/s00034-018-0996-0 ◽

2018 ◽

Vol 38 (6) ◽

pp. 2846-2862 ◽

Cited By ~ 3

Author(s):

Yuanbiao Hu ◽

Qin Zhou ◽

Hao Yu ◽

Zheng Zhou ◽

Feng Ding

Keyword(s):

Stochastic Systems ◽

Generalized Projection ◽

Two Stage

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Two-stage estimator for dynamic stochastic systems subject to unknown inputs and random bias

1997 European Control Conference (ECC) ◽

10.23919/ecc.1997.7082102 ◽

1997 ◽

Author(s):

J. Y. Keller ◽

M. Darouach

Keyword(s):

Stochastic Systems ◽

Two Stage ◽

Unknown Inputs ◽

Dynamic Stochastic

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Two-stage self-seeding method for preparation of single crystals of poly(phenylene sulfide)

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100153816 ◽

1989 ◽

Vol 47 ◽

pp. 368-369

Author(s):

Sengshiu Chung ◽

Peggy Cebe

Keyword(s):

Single Crystals ◽

High Performance ◽

Dilute Solution ◽

Two Stage ◽

Annealing Behavior ◽

High Performance Polymers ◽

Seeding Method ◽

Phenylene Sulfide

We are studying the crystallization and annealing behavior of high performance polymers, like poly(p-pheny1ene sulfide) PPS, and poly-(etheretherketone), PEEK. Our purpose is to determine whether PPS, which is similar in many ways to PEEK, undergoes reorganization during annealing. In an effort to address the issue of reorganization, we are studying solution grown single crystals of PPS as model materials.Observation of solution grown PPS crystals has been reported. Even from dilute solution, embrionic spherulites and aggregates were formed. We observe that these morphologies result when solutions containing uncrystallized polymer are cooled. To obtain samples of uniform single crystals, we have used two-stage self seeding and solution replacement techniques.

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