<p style='text-indent:20px;'>In this paper, an optimal control model ruled by a class of linear discrete-time stochastic descriptor systems is considered under quadratic index performance. Employing dynamic programming method, recurrence equation to simplify the problem presented provided that are both regular and impulse-free. When objective function quadratic, according equation, linear...

The main result of the paper consists in graphical necessary and sufficient conditions which ensure the generic discrete mode observability of structured switching descriptor systems. The methods used in the previous studies on the observability of switching linear systems on standard form are not applicable to switching descriptor systems. So, we develop a new approach starting from bipartite ...

This presentation is a generalization of 8] from square, regular n-by-n, pencils to singular and rectangular m-by-n pencils. We deene arithmetic-like operations on matrix pencils that are a natural extension of sums, products and quotients of real numbers. The algebra of linear transformations may be regarded as a special case of this pencil arithmetic. The language of linear relations leads to...

This paper studies the design of a model following control system (MFCS) for nonlinear descriptor system in discrete time. In previous studies, a method of nonlinear model following control system with disturbances was proposed by Okubo,S. and also a nonlinear model following control system with unstable zero of the linear part, a nonlinear model following control system with containing inputs ...

We consider the (sub)optimal H∞-control problem for discrete time descriptor systems. Necessary and su cient optimality conditions are derived in terms of de ating subspaces of palindromic matrix pencils. This approach allows the use of structure preserving matrix techniques which lead to a more robust method compared with currently used algorithms. The approach is suitable for standard systems...

In this paper, the problem of H∞ filtering for a class of discrete-time switched systems with unknown inputs is investigated. By using switched Lyapunov functionals, sufficient conditions for the solution of this problem are obtained in terms of linear matrix inequalities (LMIs). Filtering is envisaged both with proportional and proportional integral observers. In addition, the results obtained...