Minimal attractor embedding dimension for discrete dynamic system based on state-space method

1999 ◽  
Author(s):  
Alexander M. Krot ◽  
Helena B. Minervina
Keyword(s):  
Dynamic System ◽  
State Space ◽  
Embedding Dimension ◽  
State Space Method ◽  
Discrete Dynamic ◽  
Discrete Dynamic System ◽  
Space Method

A new state-space method for exponentially damped linear systems

2019 ◽  
Vol 212 ◽  
pp. 137-144 ◽  
Author(s):  
Xinhai Wu ◽  
Huan He ◽  
Guoping Chen
Keyword(s):  
State Space ◽  
Linear Systems ◽  
State Space Method ◽  
Space Method

Study on Small Fluctuation Stability in Air Cushion Surge Chamber Based on State Space Method

2017 ◽  
Author(s):  
Jiachun Liu ◽  
Jian Zhang ◽  
Xiaodong Yu ◽  
Hui Xie
Keyword(s):  
State Space ◽  
Great Influence ◽  
State Space Method ◽  
Actual System ◽  
Small Fluctuation ◽  
Chamber Height ◽  
Air Chamber ◽  
Water Conveyance ◽  
Air Cushion ◽  
Space Method

In this paper, on the basis of the state space method and actual system arrangement, the small fluctuation mathematical model of the water conveyance system with air cushion surge chamber (ACSC) was established. According to the basic equations of ACSC, the ideal gas state equation and the units constant output equation, the formula describing the stable cross-section area (SCSA) of ACSC was deduced, and the small fluctuation stability (SFS) of water conveyance system was analyzed. The corresponding results showed that the air chamber constant had a great influence on the SCSA of ACSC. When the air chamber constant became larger, the quality of the system small fluctuation went worse. The higher upstream water level and the lower initial air chamber height will lead to a smaller initial air chamber constant of ACSC, which is destructive for the stability of the system small fluctuation; As long as the equivalent air quality and air chamber volume are constant, good quality system small fluctuations could be obtained when the initial air chamber height is small and the area of ACSC is large.

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