The NH2-terminal fragments of sterol regulatory element-binding proteins (SREBPs) are released from endoplasmic reticulum membranes by proteases whose activities depend upon SREBP cleavage-activating protein (SCAP), a polytopic endoplasmic reticulum membrane protein. The activity of SCAP is inhibited by sterols, which appear to interact with the polytopic membrane domain of SCAP. Here, we use p...

Robust stability analysis is investigated for discrete-time linear systems with rational dependency with respect to polytopic type uncertainties. Two type of uncertainties are considered: constant parametric uncertainties and time-varying switching uncertainties. Results are in LMI formalism and proofs involve parameter-dependent, quadratic in the state, Lyapunov functions. The new proposed con...

Robust stability analysis is investigated for discrete-time linear systems with rational dependency with respect to polytopic type uncertainties. Two type of uncertainties are considered: constant parametric uncertainties and timevarying switching uncertainties. Results are in LMI formalism and proofs involve parameter-dependent, quadratic in the state, Lyapunov functions. The new proposed cond...

We study multi-period nonlinear optimization problems whose parameters are uncertain. We assume that uncertain parameters are revealed in stages and model them using the adjustable robust optimization approach. For problems with polytopic uncertainty, we show that quasi-convexity of the optimal value function of certain subproblems is sufficient for the reducibility of the resulting robust opti...

The robust H∞ state feedback control problem for both continuousand discrete-time singular systems with polytopic-type uncertainties is revisited via a parameter-dependent approach. Attention is focused on the design of a parameter-dependent state feedback controller, such that the closed-loop system is admissible with prescribed H∞ noise attenuation level for all parameter uncertainties. Witho...

It has been proposed that the aggregation of nascent transmembrane segments of polytopic proteins is prevented by chaperones present in the endoplasmic reticulum membrane; now the first experimental support for this proposal has been reported.

An integrated modeling and robust model predictive control (MPC) approach is proposed for a class of nonlinear systems. First, the nonlinear system is identified off-line by a RBF-ARX model possessing linear ARX model structure and state-dependent Gaussian RBF neural network type coefficients. On the basis of the RBF-ARX model, a combination of a local linearization model and a polytopic uncert...