One of the most important properties of neural nets (NNs) for control purposes is the universal approximation property. Unfortunately,, this property is generally proven for continuous functions. In most real industrial control systems there are nonsmooth functions (e.g., piecewise continuous) for which approximation results in the literature are sparse. Examples include friction, deadzone, bac...

1.1 Hysteresis Operators 3 1.2 The Duhem Model 13 1.3 Rheological Models of Elasto-plasticity 17 1.4 Discontinuous Hysteresis 35 1.5 Micromagnetism 45 1.6 Models of Hysteresis with Internal Variables 56 1.7 Genesis of Hysteresis and Coupling with PDEs 62 1.8 A Transport Equation with Hysteresis 69 1.9 A Quasilinear Parabolic PDE with Hysteresis 78 1.10 A Quasilinear Hyperbolic PDE with Hysteres...

The elastic section of the giant muscle protein titin contains many immunoglobulin-like domains, which have been shown by single-molecule mechanical studies to unfold and refold upon stretch-release. Here we asked whether the mechanical properties of Ig domains and/or other titin regions could be responsible for the viscoelasticity of nonactivated skeletal-muscle sarcomeres, particularly for st...

the equilibrium moisture content is an important parameter for several post-harvesting operations for pistachio nuts, such as drying processes and storage. in this re-search the adsorption and desorption equilibrium moisture content were determined for two major varieties of iranian pistachios at 11 to 85 percent relative humidities and a con-stant temperature of 50°c. a significant hysteresis ...

The use of colloidal crystals with various primary particle sizes as templates leads to the formation of three-dimensionally ordered mesoporous (3DOm) carbons containing spherical pores with tailorable pore size and extremely high pore volumes. We present a comprehensive structural characterization of these novel carbons by using nitrogen (77.4 K) and argon (87.3 K) adsorption coupled with the ...