A priori estimates on the length of the primal-dual path that results from a MoreauYosida approximation of the feasible set for state constrained optimal control problems are derived. These bounds depend on the regularity of the state and the dimension of the problem. Numerical results indicate that the bounds are indeed sharp and are typically attained in cases where the active set consists of...

Recent research has shown that resisting persuasion involves active self-regulation. Resisting an influence attempt consumes self-regulatory resources, and in a state of self-regulatory resource depletion, people become more susceptible to (unwanted) influence attempts. However, the present studies show that a forewarning of an impending influence attempt prompts depleted individuals to conserv...

Abstrad-We describe an analytic method for finding the location of the generalized zero set of a vector-valued function which depends on m real variables and (n + k) complex parameters. The method is applied to a robust design problem of a nonlinear Lurie type continuous-time system, with the linear part under uncertainty conditions. We find the complete feasible set of sectors of the nonlinear...

This work presents a comparative study of the performance of the cumulative sum (CuSum), as well as the exponentially weighted moving average (EWMA) control charts. The objective of this research is to verify when CuSum and EWMA control charts do the best control region, in order to detect small changes in the process average. Starting from the data of a productive process, several series were ...

We prove the null controllability, in arbitrary positive time, of the Kolmogorov equation ∂t+v ·∇x−∆v with (x, v) ∈ R ×R, with a control region of the form ω = ωx × ωv, where both ωx and ωv are open subsets of R d that are sufficiently spread out throughout the whole space R. The proof is based on, on the one hand, a spectral inequality in R with an observation on ωx, and, on the other hand, a ...

Controllability properties of a partial differential equation (PDE) model describing a thermoelastic plate are studied. The PDE is composed of a Kirchoff plate equation coupled to a heat equation on a bounded domain, with the coupling taking place on the interior and boundary of the domain. The coupling in this PDE is parameterized by α > 0. Boundary control is exerted through the (two) free bo...

The most upstream hypersensitive site (HS) of the beta-globin locus control region (LCR) in humans (5' HS 5) and chickens (5' HS 4) can act as an insulating element in some gain of function assays and may demarcate a beta-globin domain. We have mapped the most upstream HSs of the mouse beta-globin LCR and sequenced this region. We find that mice have a region homologous to human 5' HS 5 that is...

Across four experimental studies, individuals who were depleted of their self-regulatory resources by an initial act of self-control were more likely to ‘‘impulsively cheat’’ than individuals whose self-regulatory resources were intact. Our results demonstrate that individuals depleted of self-control resources were more likely to behave dishonestly (Study 1). Depletion reduced people’s moral a...

To make a supervisor comprehensible to a layman has been a long-lasting goal in the supervisory control community. One strategy is to reduce the size of a supervisor to generate a control equivalent version, whose size is hopefully much smaller than the original one so that a user or control designer can easily check whether a designed controller fulfils its objectives and requirements. After t...

We derive a-priori estimates on the length of the primal-dual path that results from a Moreau-Yosida approximation of the feasible set for state constrained optimal control problems. These bounds depend on the regularity of the state and the dimension of the problem. Comparison with numerical results indicates that these bounds are sharp and are attained for the case of a single active point. A...