The Nonlinear System Design Technique Based on Dynamic Equilibrium State Theory

2007 ◽  
Author(s):  
Hong Jin ◽  
Li Wang
Keyword(s):  
Nonlinear System ◽  
Equilibrium State ◽  
System Design ◽  
Dynamic Equilibrium ◽  
State Theory ◽  
Design Technique ◽  
Dynamic Equilibrium State

Backstepping Control Based on the Dynamic Equilibrium State Theory for Strict-Feedback Nonlinear Systems

2011 ◽  
Vol 143-144 ◽  
pp. 360-365
Author(s):  
De Hui Qiu ◽  
Qing Lin Wang ◽  
Jie Yang
Keyword(s):  
Nonlinear Systems ◽  
Equilibrium State ◽  
Feedback Linearization ◽  
Dynamic Equilibrium ◽  
State Theory ◽  
State Control ◽  
Control Approach ◽  
Dynamic Equilibrium State ◽  
Steady State Control ◽  
Strict Feedback

A novel control approach is introduced for strict-feedback nonlinear systems based on the dynamic equilibrium state theory. First, the basic idea of the dynamic equilibrium state theory is presented. The dynamic equilibrium state is not the origin or the constant, but means change under the effect of input for non-free systems. Then, the method of steady state control is combined with backstepping technology, realizing the feedback linearization and stability step by step and guaranteeing uniform ultimate boundedness of all signals in the closed-loop system. The proposed approach has much simpler expression and is easy to understand. Finally, two simulation examples are used to demonstrate the effectiveness of the proposed scheme.

scholarly journals A unique internal ribosome entry site representing a dynamic equilibrium state of RNA tertiary structure in the 5′-UTR of Wheat yellow mosaic virus RNA1

2019 ◽  
Author(s):  
Guowei Geng ◽  
Chengming Yu ◽  
Xiangdong Li ◽  
Xuefeng Yuan
Keyword(s):  
Equilibrium State ◽  
Mosaic Virus ◽  
Dynamic Equilibrium ◽  
Yellow Mosaic Virus ◽  
Wheat Yellow Mosaic Virus ◽  
Long Distance ◽  
Internal Ribosome Entry ◽  
Interaction Sites ◽  
Dynamic Equilibrium State ◽  
Rna Interaction

Abstract Internal ribosome entry sites (IRESes) were first reported in RNA viruses and subsequently identified in cellular mRNAs. In this study, IRES activity of the 5′-UTR in Wheat yellow mosaic virus (WYMV) RNA1 was identified, and the 3′-UTR synergistically enhanced this IRES activity via long-distance RNA–RNA interaction between C80U81and A7574G7575. Within the 5′-UTR, the hairpin 1(H1), flexible hairpin 2 (H2) and linker region (LR1) between H1 and H2 played an essential role in cap-independent translation, which is associated with the structural stability of H1, length of discontinuous stems and nucleotide specificity of the H2 upper loop and the long-distance RNA–RNA interaction sites in LR1. The H2 upper loop is a target region of the eIF4E. Cytosines (C55, C66, C105 and C108) in H1 and H2 and guanines (G73, G79 and G85) in LR1 form discontinuous and alternative base pairing to maintain the dynamic equilibrium state, which is used to elaborately regulate translation at a suitable level. The WYMV RNA1 5′-UTR contains a novel IRES, which is different from reported IRESes because of the dynamic equilibrium state. It is also suggested that robustness not at the maximum level of translation is the selection target during evolution of WYMV RNA1.

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