In this note, we combine a new approach for linear timedelay systems based on a descriptor representation with a recent result on bounding of cross products of vectors. A delay-dependent criterion for determining the stability of systems with time-varying delays is obtained. This criterion is used to derive an efficient stabilizing state-feedback design method for systems with parameter uncerta...

This paper is concerned with the problem of designing robust H2 state-feedback controllers for continuous-time Markov jump linear systems subject to polytopic-type parameter uncertainty. Based on the parameter-dependent Lyapunov function approach, a new method for designing robust H2 controllers is presented in terms of solutions to a set of linear matrix inequalities. A numerical example is gi...

Rhomboids form a family of polytopic intramembrane serine proteases. In Toxoplasma gondii, an essential activity called microneme protein protease 1 (MPP1) cleaves secreted adhesive proteins within their transmembrane domains, at a site conserved in similar proteins of other Apicomplexa. Current evidence suggests that MPP1 is ubiquitous in the phylum and is encoded by a rhomboid gene. In this a...

To estimate stability region of systems satisfying polytopic uncertainties in given regions is very important since such systems are given as models of linear systems with saturating control or nonlinear systems with nonlinear elements which satisfy sector conditions in given regions. In this paper, we propose a method to estimate the maximal robust attractive region of such systems using polyt...

The paper addresses receding-horizon (predictive) control for polytopic discrete-time systems subject to input/state constraints and unknown but bounded disturbances. The objective is to optimize nominal performance while guaranteeing robust stability and constraint satisfaction. The latter goal is achieved by exploiting robust invariant sets under linear and nonlinear control laws. Tradeoffs b...

The recently developed technique for computation of piecewise quadratic Lyapunov functions is specialized to Lyapunov functions that are piecewise linear. This establishes a unified framework for computation of quadratic, piecewise quadratic, piecewise linear and polytopic Lyapunov functions. The search for a piecewise linear Lyapunov function is formulated as a linear programming problem, and ...

A novel robust predictive control algorithm for input-saturated uncertain linear discrete-time systems with structured norm-bounded uncertainties is presented. The solution is based on the minimization, at each time instant, of a LMI convex optimization problem obtained by a recursive use of the S-procedure. The general case of N free moves is presented. Stability and feasibility are proved and...

The paper addresses receding-horizon (predictive) control for polytopic discrete-time systems subject to input/state constraints and unknown but bounded disturbances. The objective is to optimize nominal performance while guaranteeing robust stability and constraint satisfaction. The latter goal is achieved by exploiting robust invariant sets under linear and nonlinear control laws. Tradeoffs b...

Linear Parameter Varying (LPV) systems are models widely encountered in the engineering field. In this paper, a systematic method is provided to design a polytopic observer whose goal is to reconstruct the state of discrete-time LPV systems. The method incorporates in an original manner a minimal convex polytope finding and thereby confers efficiency to the reconstruction technique. The propose...

Abstract: The paper addresses the problem of output feedback guaranteed cost controller design for NCSs with time-delay and polytopic uncertainties. By constructing a new parameter-dependent Lyapunov functional and applying the free-weighting matrices technique, the parameter-dependent, delay-dependent design method will be obtained to synthesize a PID controllers achieving a guaranteed cost su...