Conditions under which $K₂(

Conditions under which suboptimal nonlinear MPC is inherently robust

We address the inherent robustness properties of nonlinear systems controlled by suboptimal model predictive control (MPC), i.e., when a suboptimal solution of the (generally nonconvex) optimization problem, rather than an element of the optimal solution set, is used for the control. The suboptimal control law is then a set-valued map, and consequently, the closed-loop system is described by a ...

Sufficient Conditions under Which a Transitive System Is Chaotic

Let (X, T ) be a topologically transitive dynamical system. We show that if there is a subsystem (Y, T ) of (X, T ) such that (X×Y, T ×T ) is transitive, then (X, T ) is strongly chaotic in the sense of Li and Yorke. We then show that many of the known sufficient conditions in the literature, as well as a few new results, are corollaries of this statement. In fact the kind of chaotic behavior w...

On the Conditions under which Audit Risk Increases with Information

It has been reported in the literature on strategic auditing that audit risk (the probability of audit failure) may increase when the auditor obtains information, whereas conditions for such cases have not been identified as yet. This paper provides simple models to analyze the general tendencies of exogenous parameters for such cases. The analysis shows that audit risk increases with more info...

Conditions under which stereopsis and motion perception are blind.

We describe modified random-dot stereograms in which the corresponding elements differ from non-corresponding elements in colour, size, and luminance. Despite these visible differences between the elements, depth perception collapses when the spatially integrated luminous flux is similar for the corresponding and non-corresponding elements. Our results suggest that a low-pass spatial filter pre...

On the Physical Conditions under Which Coal Was Formed.