This paper considers the l2-l∞ filter problem for discrete time-delay Markovian jump neural networks. Attention is focused on the design of a reduced-order filter to guarantee stochastic stability and a prescribed l2-l∞ performance for the filtering error system. In terms of linear matrix inequalities (LMIs), a delay-dependent sufficient condition for the solvability of the addressed problem is...

This article concerns the question: which subsets of R can be represented with Linear Matrix Inequalities, LMIs? This gives some perspective on the scope and limitations of one of the most powerful techniques commonly used in control theory. Also before having much hope of representing engineering problems as LMIs by automatic methods one needs a good idea of which problems can and cannot be re...

This paper provides a unified framework for the admissibility of class singular fractional-order systems with given fractional order in interval (0, 2). These necessary and sufficient conditions are derived terms linear matrix inequalities (LMIs). The considered orders range from 0 to 2 without separating ranges into 1) [1, 2) discuss admissibility. Moreover, uncertain system is norm-bounded. q...

This paper presents LMI conditions for stability analysis and synthesis of robust and gainscheduled state feedback controllers for discrete-time linear parameter-varying (LPV) systems. It is assumed that the system matrices have a homogeneous polynomial dependence of arbitrary degree on the time-varying parameters. The parameters are assumed to vary inside a polytope and have known bounds on th...

Labour Market Intermediaries (LMIs) with a social purpose, or Social Innovation, are bubbling since the 1980s due to fragmentation of labour standards and growing number “non-standard forms work”. However, they face an important lack legitimacy especially in countries like France where market is highly regulated. Analysing legitimation trajectories two profit-limited LMIs, Employers’ Associatio...

We describe a new proof of the well-known Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. The proof makes use of standard facts from quadratic and semi-deenite programming. Links are established between the Lyapunov matrix, rank-one LMIs and the Lagrange multiplier arising in duality theory.

The robust H∞ filtering problem for a class of continuous-time uncertain linear descriptor systems with time-varying discrete and distributed delays is investigated. The time-delays are assumed to be constant and known. The uncertainties under consideration are norm-bounded, and possible time-varying, uncertainties. Sufficient condition for the existence of an H∞ filter is expressed in terms of...