The destabilizing effects of time delays on linear systems make the control design for such systems a challenging task. This study aims at developing a new graphical method to define the stable regions in the space of uncertain delay and controller coefficients. The features of the Nyquist plot are used to design the proportional-integral controllers which guaranty the closed-loop stability for...

The problem of passivity analysis finds important applications in many signal processing systems such as digital quantizers, decision feedback equalizers, and digital and analog filters. Equally important is the problem of passification, where a compensator needs to be designed for a given system to become passive. This paper considers these two problems for a large class of systems that involv...

 We consider a generalization of the classical quadratic assignment problem, where coordinates of locations are uncertain and only upper and lower bounds are known for each coordinate. We develop a mixed integer linear programming model as a robust counterpart of the proposed uncertain model. A key challenge is that, since the uncertain model involves nonlinear objective function of the ...

In this paper, by using scalar multiple integral cost functionals and the notion of convexity associated with a functional driven an uncertain multi-time controlled second-order Lagrangian, we develop new mathematical framework on multi-dimensional variational control problems mixed constraints implying partial differential equations (PDEs) inequations (PDIs). Concretely, introduce investigate ...

in this paper, we give a generalization of the integral dependence from rings to modules. we study the stability of the integral closure with respect to various module theoretic constructions. moreover, we introduce the notion of integral extension of a module and prove the lying over, going up and going down theorems for modules.

Uncertainty may be taken to characterize in­ ferences, their conclusions, their premises or all three. Under some treatments of uncer­ tainty, the inference itself is never character­ ized by uncertainty. We explore both the sig­ nificance of uncertainty in the premises and in the conclusion of an argument that in­ volves uncertainty. We argue that for un­ certainty to characterize the conclusi...