This paper introduces the robust stability of delay Lurie-type neutral control system. A new criterion is presented in term of linear matrix inequalities by using Lyapunov method. Since the criterion takes the size of the neutral and discrete delays into account, it is less conservative than the existing ones. Examples are given to that illustrate the advantage of our approach and reciprocal in...

<span lang="EN-US">Modeling and regulating the internal climate of a greenhouse have been challenge as it is complex time variant system. The main goal to regulate considering difference between nighttime diurnal phases day. To depict comportment greenhouse, multi model approach based on two multivariable black box models proposed representing least-squares method utilized identify parame...

Abstract—This paper investigates the robust stability of uncertain neutral system with time-varying delay. By using Lyapunov method and linear matrix inequality technology, new delay-dependent stability criteria are obtained and formulated in terms of linear matrix inequalities (LMIs), which can be easy to check the robust stability of the considered systems. Numerical examples are given to ind...

This paper presents sufficient dilated linear matrix inequalities (LMI) conditions to the H∞ and H2 model reduction problem. A special structure of the auxiliary (slack) variables allows the original model of order n to be reduced to an order r = n/s where n, r, s ∈ N. Arbitrary order of the reduced model can be enforced by including states in the original system with negligible input-to-output...

In this paper we present a polynomial-time procedure to find a low rank solution for a system of Linear Matrix Inequalities (LMI). The existence of such a low rank solution was shown in AuYeung and Poon [1] and Barvinok [3]. In Au-Yeung and Poon’s approach, an earlier unpublished manuscript of Bohnenblust [6] played an essential role. Both proofs in [1] and [3] are nonconstructive in nature. Th...

Let R be the convex subset of IR defined by q simultaneous linear matrix inequalities (LMI) A 0 + ∑n i=1 xiA (j) i 0, j = 1, 2, . . . , q. Given a strictly positive vector ω = (ω1, ω2, · · · , ωq), the weighted analytic center xac(ω) is the minimizer argmin (φω(x)) of the strictly convex function φω(x) = ∑q j=1 ωj log det[A (j)(x)]−1 over R. We give a necessary and sufficient condition for a po...

The general problem of reconstructing a biological interaction network from temporal evolution data is tackled via an approach based on dynamical linear systems identification theory. A novel algorithm, based on linear matrix inequalities, is devised to infer the interaction network. This approach allows to directly taking into account, within the optimisation procedure, the a priori available ...