Adaptive Control and Synchronization of Uncertain Complex Networks

2015 ◽  
Vol 734 ◽  
pp. 321-326
Author(s):  
Qian Qian Jia
Keyword(s):  
Dynamical System ◽  
System Theory ◽  
Neural Networks ◽  
Adaptive Control ◽  
Complex Networks ◽  
Linear Feedback ◽  
Dynamical System Theory ◽  
Control Techniques ◽  
Control And Synchronization ◽  
Invariant Principle

Recently, synchronization of complex networks has been a focus subject of technology fields. In this paper, we consider the adaptive control and synchronization of uncertain complex networks. By using the adaptive control techniques with the linear feedback updated law and the well-known invariant principle on dynamical system theory, some simple yet generic criteria are derived. Furthermore, the result is applied to typical chaotic cellular neural networks (CNN). Finally, numerical simulations are presented to demonstrate the feasibility and effectiveness of the proposed techniques.

Application of dynamical system theory in LC harmonic oscillator circuits: A complement tool to the Barkhausen criterion

2018 ◽  
Vol 55 (3) ◽  
pp. 258-272 ◽  
Author(s):  
Pablo Salas-Castro ◽  
Finees Delgado-Aranda ◽  
Edgar Tristán-Hernández ◽  
Roberto C Martínez-Montejano ◽  
J S Murguía ◽  
...  
Keyword(s):  
Dynamical System ◽  
System Theory ◽  
Harmonic Oscillators ◽  
Linear Feedback ◽  
Dynamical System Theory ◽  
State Matrix ◽  
Barkhausen Criterion ◽  
Audio Communication ◽  
The Mathematical Model ◽  
Oscillator Circuits

There are different types of electronic oscillators that have a wide variety of applications in areas such as computing, audio, communication, among others. One of these is the harmonic oscillators that generate an output sinusoidal signal. Due to the advantages of these, this paper proposes a methodology based on an analysis based on the dynamical system theory. This provides undergraduates a useful tool for a better understanding of the harmonic oscillators in order to design and implement accurately this kind of circuits. This tool complements the widely recognized Barkhausen criterion, which is a mathematical condition that must be satisfied by linear feedback oscillators. The analysis based on the dynamical system theory consists of obtaining a state matrix and its eigenvalues from the mathematical model of the oscillator circuits. The eigenvalues are adjusted to get an oscillator system, thus from this way, a set of conditions are derived. These conditions are complementary to those obtained by the Barkhausen criterion.

Towards a More Holistic Approach to Quality Improvements in Aluminium Die Casting

2009 ◽  
Vol 618-619 ◽  
pp. 341-344
Author(s):  
Sandrine Zanna ◽  
Yakov Frayman ◽  
Bruce Gunn ◽  
Saeid Nahavandi
Keyword(s):  
Dynamical System ◽  
System Theory ◽  
Die Casting ◽  
Holistic Approach ◽  
Natural Process ◽  
Dynamical System Theory ◽  
Quality Improvements ◽  
System Perspective ◽  
Porosity Defects ◽  
Natural Equilibrium

This work evaluates the feasibility of using a holistic approach, based on dynamical system theory, to reduce porosity defects in high pressure aluminum die casting. Quality improvements, from a dynamical system perspective mean the ability to move the die casting process out of its natural equilibrium to a more beneficial state and the ability to maintain this new process state. This more beneficial state may be achieved in several ways. One way is to increase the amount of forcing to overcome natural process resistance. This forcing approach is represented by typical continuous intervention policy, with modifications in die/part design and/or process parameters. An alternative approach is to reduce the amount of natural process resistance, in particular the amount of process disturbance, allowing the process to move out of its natural equilibrium with much less forcing. This alternative uses the self-regulating ability of dynamical systems thus decreasing the amount of human intervention required. In this respect, the influence of vacuum on time on chattering at the first stage of the casting shot was identified as a good process candidate for testing using dynamical system theory. A significant reduction in porosity defects was achieved, which also set the process on a path of slow but consistent self-improvement.

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