Protein simulations using techniques suitable for very large systems: The cell multipole method for nonbond interactions and the Newton-Euler inverse mass operator method for internal coordinate dynamics

1994 ◽  
Vol 20 (3) ◽  
pp. 227-247 ◽  
Author(s):  
Alan M. Mathiowetz ◽  
Abhinandan Jain ◽  
Naoki Karasawa ◽  
William A. Goddard
Keyword(s):  
Mass Operator ◽  
Operator Method ◽  
Multipole Method ◽  
Large Systems ◽  
Nonbond Interactions

A continued fraction representation of the mass operator

1976 ◽  
Vol 54 (1) ◽  
pp. 26-33 ◽  
Author(s):  
Dipak K. Saraswati
Keyword(s):  
Projection Operator ◽  
Continued Fraction ◽  
Mass Operator ◽  
Quantum Statistical Mechanics ◽  
Operator Method ◽  
Polarization Operator ◽  
First Approximation ◽  
Random Forces ◽  
Projection Operator Method ◽  
Quantum Statistical

We explore some further possibilities of application of the projection operator method of Zwanzig to the theory of Green's functions of quantum statistical mechanics, initiated by lchiyanagi, and present a continued fraction representation of the mass operator involving a hierarchy of the random forces. As an application of the theory, we calculate the polarization operator of the phonon Green's function of the Frohlich Hamiltonian in the first approximation which corresponds to the assumption that the electron momenta are orthogonal to the phonon momentum.

Constant Temperature Constrained Molecular Dynamics:  The Newton−Euler Inverse Mass Operator Method

1996 ◽  
Vol 100 (25) ◽  
pp. 10508-10517 ◽  
Author(s):  
Nagarajan Vaidehi ◽  
Abhinandan Jain ◽  
William A. Goddard
Keyword(s):  
Molecular Dynamics ◽  
Constant Temperature ◽  
Mass Operator ◽  
Operator Method

scholarly journals Delay-Dependent Robust Stabilization for Nonlinear Large Systems via Decentralized Fuzzy Control

2011 ◽  
Vol 2011 ◽  
pp. 1-20 ◽  
Author(s):  
Chun-xia Dou ◽  
Zhi-sheng Duan ◽  
Xing-bei Jia ◽  
Xiao-gang Li ◽  
Jin-zhao Yang ◽  
...  
Keyword(s):  
Time Delay ◽  
Fuzzy Control ◽  
Upper Bound ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Large System ◽  
Disturbance Attenuation ◽  
Robust Controller ◽  
Large Systems ◽  
Delay Dependent

A delay-dependent robust fuzzy control approach is developed for a class of nonlinear uncertain interconnected time delay large systems in this paper. First, an equivalent T–S fuzzy model is extended in order to accurately represent nonlinear dynamics of the large system. Then, a decentralized state feedback robust controller is proposed to guarantee system stabilization with a prescribedH∞disturbance attenuation level. Furthermore, taking into account the time delays in large system, based on a less conservative delay-dependent Lyapunov function approach combining with linear matrix inequalities (LMI) technique, some sufficient conditions for the existence ofH∞robust controller are presented in terms of LMI dependent on the upper bound of time delays. The upper bound of time-delay and minimizedH∞performance index can be obtained by using convex optimization such that the system can be stabilized and for all time delays whose sizes are not larger than the bound. Finally, the effectiveness of the proposed controller is demonstrated through simulation example.

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