In this paper we consider a guaranteed cost control problem for a class of uncertain discrete-time systems which contain structured uncertainties. The uncertainties are assumed to satisfy a certain sum quadratic constraint. The controller will be a minimax controller in the sense that it minimizes the maximum value of a cost function. For a given initial condition, the minimax optimal controlle...

Abstract. Motivated by diffusion processes on metric graphs and open books, we consider an abstract setting for interface problems with quite general coupled boundary conditions, which we also allow to depend on time. Beside well-posedness, we discuss positivity, L∞-contractivity and further invariance properties. We show that the parabolic problem with time-dependent boundary conditions enjoy ...

The delay-dependent robust H Filtering for uncertain state delay system is addressed in this paper. The parameter uncertainties are time-varying and unknown but norm-bounded. The present robust filtering methods for time-delay system are nearly all independent of time-delay, which is conservative, and often can’t reflect the characters of system accurately. Therefore, to design the delay-depend...