Polytopic uncertainty for linear systems: New and old complexity results

Polytopic uncertainty for linear systems: New and old complexity results

We survey the problem of deciding the stability or stabilizability of uncertain linear systems whose region of uncertainty is a polytope. This natural setting has applications in many fields of applied science, from Control Theory to Systems Engineering to Biology. We focus on the algorithmic decidability of this property when one is given a particular polytope. This setting gives rise to sever...

Linear Complexity of de Brujin Sequences - Old and New Results

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...

Extended Robust ℋ2 and ℋ∞ Filter Design for Discrete Time-Invariant Linear Systems with Polytopic Uncertainty

Abstract This paper is concerned with the problem of robust H2 and H∞ filter design for discrete-time linear time-invariant systems with polytopic parameter uncertainties. Less conservative robust H2 and H∞ filter design procedures are proposed in terms of single-parameter minimization problems with linear matrix inequality constraints. To this end, we generalize the filter structures available...

New results on quadratic stabilization of switched linear systems with polytopic uncertainties

In this paper, the quadratic stabilization of switched linear systems with polytopic uncertainties is considered. Compared with the existing result, a more general switching control method is proposed to guarantee the quadratic stabilization. This switching control method is based on the partition of vertex matrix set of each subsystem. By this method, the matrix inequalities needed to be solve...