Previous research on semiflexible polymers including cytoskeletal networks in cells has suggested the existence of distinct regimes of elastic response, in which the strain field is either uniform (affine) or nonuniform (nonaffine) under external stress. Associated with these regimes, it has been further suggested that a mesoscopic length scale emerges, which characterizes the scale for the cro...

For a class of MIMO nonaffine block nonlinear systems, a neural networkNNbased dynamic feedback backstepping control design method is proposed to solve the tracking problem. This problem is difficult to be dealt with in the control literature, mainly because the inverse controls of block nonaffine systems are not easy to resolve. To overcome this difficulty, dynamic feedback, backstepping desig...

We study dense and highly polydisperse emulsions at droplet volume fractions ϕ≥0.65. We apply oscillatory shear and observe droplet motion using confocal microscopy. The presence of droplets with sizes several times the mean size dramatically changes the motion of smaller droplets. Both affine and nonaffine droplet motions are observed, with the more nonaffine motion exhibited by the smaller dr...

It is well understood that an open-loop Lyapunov stable nonaffine-in-control nonlinear system can be asymptotically stabilized through feedback. But stabilizing an open-loop unstable nonaffine system remains an open research question. This paper derives the necessary conditions required to render a general open-loop unstable nonlinear system passive through static feedback. It is shown that thi...

Crystals with low latent heat are predicted to melt from an entropically stabilized body-centered cubic symmetry. At this weakly first-order transition, strongly correlated fluctuations are expected to emerge, which could change the nature of the transition. Here we show how large fluctuations stabilize bcc crystals formed from charged colloids, giving rise to strongly power-law correlated hete...

This paper proposes a new method to design a decentralized fuzzy adaptive controller (FAC) for a class of large-scale nonaffine nonlinear systems in which functions of the systems and interactions are unknown. Comparing to previous paper which mainly concentrates on affine large-scale system (LSS), the proposed method is on nonaffine nonlinear LSS. The stability of the closedloop system is guar...

In this paper, a wavelet based adaptive sliding mode control is designed for a class of discrete time uncertain nonlinear nonaffine systems. An equivalent affine like structure is first developed form the original nonaffine system and subsequently a wavelet based adaptive sliding mode tracking control scheme is developed for the affine like system. Wavelet neural network (WNN) is used to mimic ...

For input nonaffine nonlinear control systems, the minimum phase property of the system in general depends on the control law. Switching or discontinuous controllers may offer advantages in this context. In particular, there may not exist a continuous control law which would keep the output identically equal to zero and for which the zero output constrained dynamics are locally stable, whereas ...