OBJECTIVE Attentional biases for food-related stimuli may be associated separately with obesity, disordered eating, and hunger. We tested an integrative model that simultaneously examines the association of body mass index (BMI), disordered eating and hunger with food-related visual attention to processed foods that differ in added fat/sugar level (e.g., sweets, candies, fried foods) relative t...

The asymptotic convergence of nonlinear switched systems in the presence of disturbances is studied in this paper. The system switches among a family of integral input-to-state stable systems. The time between two consecutive switchings is not less than a value τD. This dwell-time τD is allowed to take different values according to a function whose argument is the state of the system at the swi...

We study the problem of feedback stabilization of a family of nonlinear stochastic systems with switching mechanism modeled by a Markov chain. We introduce a novel notion of stability under switching, which guarantees a given probability that the trajectories of the system hit some target set in finite time and remaining thereinafter. Our main contribution is to prove that if the expectation of...

Processive molecular motors, such as kinesin, myosin, or dynein, convert chemical energy into mechanical energy by hydrolyzing ATP. The mechanical energy is used for moving in discrete steps along the cytoskeleton and carrying a molecular load. Single-molecule recordings of motor position along a substrate polymer appear as a stochastic staircase. Recordings of other single molecules, such as F...

The paper presents asymptotic, and input-to-state stability results, for switched systems with dwell time in which the switching signal is not arbitrary, but is rather chosen as part of the control design strategy. Then, appropriate switching policies allow the use of functions without sign-definite time derivatives in lieu of a common Lyapunov-like function.

The dwell times between two successive steps of the two-headed molecular motor myosin V are governed by non-exponential distributions. These distributions have been determined experimentally for various control parameters such as nucleotide concentrations and external load force. First, we use a simplified network representation to determine the dwell time distributions of myosin V, with the as...

This article deals with input-to-state stability (ISS) of continuous-time switched nonlinear systems. Given a family of systems with exogenous inputs such that not all systems in the family are ISS, we characterize a new and general class of switching signals under which the resulting switched system is ISS. Our stabilizing switching signals allow the number of switches to grow faster than an a...

This paper deals with continuous-time systems and addresses the problem of characterizing open-loop switching strategies, based on dwell time specification, assuring a pre-specified root mean square gain (RMS). As a natural consequence of treating general systems of this particular class in terms of the order and the number of subsystems, only sufficient conditions are worked out. However, as p...