This article considers the tracking control of unknown nonlinear nonaffine repetitive discrete-time multi-input multi-output systems. Two data-driven iterative learning (ILC) schemes are designed based on two equivalent dynamic linearization data models an ideal controller, which exists theoretically in iteration domain. The provide ways selecting controllers complexity controlled gain matrixes...

Using the coherent-potential approximation in heterogeneous-elasticity theory with a log-normal distribution of elastic constants for description Raman spectrum and temperature dependence specific heat, we are able to reconstruct vibrational density states characteristic descriptors heterogeneity wide range glassy materials. These nonaffine contribution shear modulus, mean-square fluctuation lo...

Glasses acquire their solid-like properties by cooling from the supercooled liquid via a continuous transition known as the glass transition. Recent research on soft glasses indicates that besides temperature, another route to liquify glasses is by application of stress that drives relaxation and flow. Here, we show that unlike the continuous glass transition, the failure of glasses to applied ...

[1] We quantify the energy dissipated to heat and to local disorder in a sheared layer of granular fault gouge. Local disorder is modeled using shear transformation zone theory, a continuum model of nonaffine deformation in amorphous solids that resolves spontaneous localization of strain. Strain localization decreases the total energy dissipated during slip. In addition, a fraction of this ene...

The well known Brockett condition a topological obstruction to the existence of smooth stabilizing feedback laws has engendered a large body of work on discontinuous feedback stabilization. The purpose of this paper is to introduce a class of control-Lyapunov function from which it is possible to specify a (possibly discontinuous) stabilizing feedback law. For control-affine systems with unboun...

A nonlinear model predictive control strategy is developed and subsequently specialized to autonomous aircraft that can be adequately modeled with a rigid 6-degrees-of-freedom representation. Whereas the general air vehicle dynamic equations are nonlinear and nonaffine in control, a closed-form solution for the optimal control input is enabledby expandingboth the output and control in a truncat...