We find that the hierarchical organization of the potential energy landscape in a model supercooled liquid can be related to a change in the spatial distribution of soft normal modes. For groups of nearby minima, between which fast relaxation processes typically occur, the localization of the soft modes is very similar. The spatial distribution of soft regions changes, instead, for minima betwe...

In this paper a theoretical framework of robust fault-tolerant control (FTC) for a class of nonlinear nonaffine-in-control systems is developed. In the framework, an observer-like auxiliary system is designed via adaptive and sliding mode techniques, which is only required to ensure that the output of the auxiliary system asymptotic tracking plant output. Based on the auxiliary system, a reconf...

In this paper, implicit controls are investigated for different classes of nonlinear systems, nonaffine systems in pure-feedback form and affine systems in strict-feedback form. While control system design for general unknown nonaffine nonlinear systems needs further investigation, elegant control designs are presented for known systems and systems with unknown scalar parametrization. Though fo...

The problem of output regulation for nonlinear control systems with guaranteed transient performances in the presence of uncertainties is discussed, where the nonlinear systems are nonaffine in the control. The fast dynamical controller with the highest output derivative in feedback loop is used, where the controller is proper and can be implemented without ideal differentiation. Two-time-scale...

By combining the force-extension relation of single semiflexible polymers with a Langevin equation to capture the dissipative dynamics of chains moving through a viscous medium we study the dynamical response of cross-linked biopolymer materials. We find that at low frequencies the network deformations are highly nonaffine, and show a low plateau in the modulus. At higher frequencies, this nona...

In this paper, the problem of feedback stabilization of stochastic differential delay systems is considered. The systems under study are also nonlinear and nonaffine. By using a LaSalletype theorem for stochastic systems, general conditions for stabilizing the closed-loop system with delays are obtained. In addition, stabilizing state feedback control laws are proposed. An example illustrates t...