A sufficient condition for the open loop system to be regular, causal and stochastically stable is proposed for a class of discrete-time descriptor Markov jump systems with partly unknown transition probabilities. The proposed criteria are in the form of a set of strict linear matrix inequalities and convenient for numerical realization. The presented condition used the information of unknown t...

In this letter we investigate data-driven predictive control of discrete-time linear descriptor systems. Specifically, give a tailored variant Willems’ fundamental lemma, which shows that for systems the non-parametric modeling via Hankel matrix requires less data compared to time-invariant without algebraic constraints. Moreover, use description propose framework optimal and For latter, provid...

The problem of filter design for descriptor systems system has been intensively studied by a number of researchers for the past three decades; see Ref.[1]-[6]. This is due not only to theoretical interest but also to the relevance of this topic in control engineering applications. Descriptor systems or so called singularly perturbed systems are dynamical systems with multiple time-scales. Descr...

The problem of filter design for descriptor systems system has been intensively studied by a number of researchers for the past three decades; see Ref.[1]-[6]. This is due not only to theoretical interest but also to the relevance of this topic in control engineering applications. Descriptor systems or so called singularly perturbed systems are dynamical systems with multiple time-scales. Descr...

Fractional descriptor reduced-order observers for fractional descriptor continuous-time linear systems are proposed. Necessary and sufficient conditions for the existence of the observers are established. The design procedure of the observers is given and is demonstrated on two numerical examples.

This paper deals with the delay-dependent robust H∞ filter for a class of Takagi-Sugeno (T-S) fuzzy descriptor time-delay systems with parameter uncertainties. The uncertainties in the system are timevarying and bounded. By simplifying the T-S fuzzy descriptor system to the time-delay system, and base on Lyapunov stability theory in time-delay system, a sufficient condition on the existence of ...

the problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. the former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. nevertheless, now we can obtain the location of eigenvalues ...

We present a quantitative approach to the representation, classification, and generation of families of 3D (three-dimensional) particular discrete closed curves. Any 3D continuous curve can be digitalized and represented as a 3D discrete curve. Thus, a 3D discrete curve is composed of constant orthogonal straight-line segments. In order to represent 3D discrete curves, we use the orthogonal dir...