Analysis of stability robustness for generalized state-space systems with structured perturbations
Systems & Control Letters
Robust control analysis and design for discrete-time singular systems
Automatica (Journal of IFAC)
Singular Control Systems
Automatica (Journal of IFAC)
Brief paper: Control for discrete singular hybrid systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Technical Communique: Robust stabilization for uncertain discrete singular systems
Automatica (Journal of IFAC)
Continuous stabilization controllers for singular bilinear systems: The state feedback case
Automatica (Journal of IFAC)
Improved stability criteria on discrete-time systems with time-varying and distributed delays
International Journal of Automation and Computing
Hi-index | 22.14 |
This paper addresses the existence and uniqueness of a solution and stability for Lipschitz discrete-time descriptor systems. By means of the fixed point principle, a criterion is presented via a matrix inequality, and the criterion guarantees the existence and uniqueness of a solution. In addition, a sufficient condition is also presented to ensure that the solution exists for any compatible initial condition and the system is globally exponentially stable simultaneously. It is shown that the criterion presented in this paper is easy to verify and independent of the choices of decomposition matrices for the given system. Finally, the approach is illustrated by a numerical example.