This contribution is concerned with the robust stability analysis for linear systems with time-varying delay arising from networked control systems. The time-varying delay is supposed to be bounded and fast-varying. By constructing a new complete Lyapunov-Krasovskii functional, delay-dependent robust stability conditions are derived in terms of Linear Matrix Inequalities. The derivative of the ...

We introduce a medical control model, in the sense of an optimal control problem, which simulates the interaction of immune system with Human Immunodeficiency Virus (HIV) . This model shows the strategy of chemotherapy treatment. In fact, the simulated optimal control pair, (u1,u2) control the percentage effect of the chemotherapy on the CD4 + T cells and the virus production . An objective fun...

This paper examines the numerical implementation of a linear programming (LP) formulation of stochastic control problems involving singular stochastic processes. The decision maker has the ability to influence a diffusion process through the selection of its drift rate (a control that acts absolutely continuously in time) and may also decide to instantaneously move the process to some other lev...

In this paper, we present a novel method for the robust control problem of uncertain nonlinear discrete-time linear systems with sector and slope restrictions. The nonlinear function considered in this paper is expressed as convex combinations of sector and slope bounds. Then the equality constraint is derived by using convex properties of the nonlinear function. A stabilization criterion for t...

We discuss a number of novel issues in the interdisciplinary area of numerical linear algebra and systems and control theory. Although we do not claim to be exhaustive we give a number of \upcoming issues" which we believe will play an important role in the near future. These are : sparse matrices, structured matrices, novel matrix decompositions and numerical shortcuts. Each of those is presen...