This article is focused on analyzing stability and L2 gain properties for switched systems composed of a family of linear discrete-time descriptor subsystems. Concerning descriptor systems, they are also known as singular systems or implicit systems and have high abilities in representing dynamical systems [1, 2]. Since they can preserve physical parameters in the coefficient matrices, and desc...

This paper considers the optimal linear estimates recursion problem for discrete-time linear systems in its more general formulation. The system is allowed to be in descriptor form, rectangular, time-variant, and with the dynamical and measurement noises correlated. We propose a new expression for the filter recursive equations which presents an interesting simple and symmetric structure. Conve...

A method for finding of the solutions of the state equations of descriptor fractional discrete-time linear systems with regular pencils and a procedure for computation of transition matrices of the system are proposed. On the basis of this procedure a computer algorithm which calculates the transition matrices and solution of the system is presented. The effectiveness of the proposed procedure ...

Low-rank iterative methods of periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems Low-rank iterative methods of periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems Abstract We discuss the numerical solution of large-scale sparse projected discrete-time periodic Lyapunov equations ...

This paper considers the problems of stability, stabilization and H∞ control via memoryless state feedback for uncertain discrete-time Markovian jump linear systems with mode-dependent time delays. Based on linear matrix inequalities, delay-dependent solutions are obtained by using a descriptor model transformation of the system and by applying a new bounding technique for cross terms. Numerica...

This paper proposes a discrete-time repetitive optimal control of electrically driven robotic manipulators using an uncertainty estimator. The proposed control method can be used for performing repetitive motion, which covers many industrial applications of robotic manipulators. This kind of control law is in the class of torque-based control in which the joint torques are generated by permanen...