fuzzy control systems have had various applications in a wide range of science and engineering in recent years. since an unstable control system is typically useless and potentially dangerous, stability is the most important requirement for any control system (including fuzzy control system). conceptually, there are two types of stability for control systems: lyapunov stability (a special case ...

the present work reports the detailed b3lyp/6-311++g(d,p) study of most stable transand cisconfigurations photoisomerization in the core system of computational photochemistry-the 5,5'-disubstituted-1,1'-azobis (tetrazole) molecules. all computations were carried out in gas phase attemperature 293.15 k and pressure 1 atm. firstly; the potential energy surface (pes) of the groundstate ...

a nonlocal beam model based on the bernoulli–euler beam theory is presented to investigate the dynamic stability of embedded single-walled carbon nanotubes (swcnts) in thermal environment under combined static and periodic axial loads. the dynamic stability analysis is carried out by including the effects of small-scale parameter, temperature change and elastic medium. the equation of motion is...

thyristor-controlled series compensator (tcsc) is one of the electric power lines series compensators. tcsc increases transmission system capacity and improves system dynamic and voltage stability. several controllers have been proposed, but most of them generally improve one of tcsc capabilities. in this paper a tcsc robust controller is designed based on nonlinear quantitative feedback theory...

the stability of learning rate in neural network identifiers and controllers is one of the challenging issues which attracts great interest from researchers of neural networks. this paper suggests adaptive gradient descent algorithm with stable learning laws for modified dynamic neural network (mdnn) and studies the stability of this algorithm. also, stable learning algorithm for parameters of ...

one main group of organic chemistry is related to the aromatic compounds. in the present work, we replaced the ch group of benzene by silicon and nitrogen analogues. then, density functional theory (dft) calculations were carried out for six-membered heterocyclic si-n aromatic rings. full geometry optimizations were performed in gas-phase, and at b3lyp level using 6-311++g(d,p) and cbsb7 basis ...

in this research dft/b3lyp method has been employed to investigate the geometrical structures,relative stabilities, and electronic properties of cun (n=3–10) clusters for clarifying the effect of sizeon the properties. through a careful analysis of the successive binding energies, second-orderdifference of energy and the highest occupied-lowest unoccupied molecular orbital energy gaps as afunct...

In this paper we propose a necessary condition for the existence of chaos in delay differential equations of fractional order. To explain the proposed theory, we discuss fractional order Liu system and financial system involving delay. Keywords—Caputo derivative, delay, stability, chaos.