A solution of the H2 control problem is presented for linear descriptor systems. The solution proceeds in two steps. Firstly, the set of all controllers that stabilize the control system is parametrized. The mathematical tool applied are doubly coprime, proper stable factorizations of rational matrices. The factors are expressed in terms of stabilizing descriptor feedback and output injection g...

This paper considers the robust stability for uncertain fractional-order (FO) descriptor nonlinear systems. A key analysis technique is enabled by proposed a fundamental boundedness lemma, for the first time. It is used for rigorous robust stability analysis of FO systems, especially for Mittag-Leffler stability analysis of FO nonlinear systems. More importantly, how to obtain a more accurate b...

This paper investigates the design problem of observers for nonlinear descriptor systems described by Takagi-Sugeno (TS) system; Depending on the available knowledge on the premise variables two cases are considered. First a TS descriptor system with measurables premises variables are proposed. Second, an observer design which satisfying the Lipschitz condition is proposed when the premises var...

This paper proposes a new texture classification system, which is distinguished by: (1) a new rotation-invariant image descriptor based on Steerable Pyramid Decomposition, and (2) by a novel multi-class recognition method based on Optimum Path Forest. By combining the discriminating power of our image descriptor and classifier, our system uses small size feature vectors to characterize texture ...

condition 1131. This condition is exoressed in terms of definite LMI with no equality constraint, which is much more tractable and reliable in numerical computation than the existing conditions, that is, definite LMI with equality constraints or semidefinite, LMI. Finally an example with periodic U1 nonlinearities is included and shows that the faults (or UI) can he estimated and compensated wh...

In positive systems inputs, state variables and outputs take only non-negative values. Examples of positive systems are industrial processes involving chemical reactors, heat exchangers and distillation columns, storage systems, compartmental systems, water and atmospheric pollution models. A variety of models having positive linear behavior can be found in engineering, management science, econ...

[1] demonstrated that humans are easily able to recognize an object in less than 0.5 seconds. Unfortunately, object recognition remains one of the most challenging problems in computer vision. Many algorithms based on local approaches have been proposed in recent decades. Local approaches can be divided in 4 phases: region selection, region appearance description, image representation and class...