Abstract
In this paper, a new type generalized Lyapunov equation for discrete singular systems is proposed. Then it is applied to study problems such as pole clustering, controllability and observability for discrete singular systems. First, some necessary and sufficient conditions for pole clustering are derived via the solution of this new type Lyapunov equation. Further, the relationship between the solution of the Lyapunov equation and structure properties of discrete singular systems will be investigated based on these results. Finally, a type of generalized Riccati equation is proposed and its solution is used to design state feedback law for discrete singular systems such that all the finite poles of the closed-loop systems are clustered into a specified disk.
| Original language | English |
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| Title of host publication | Proceedings of the IEEE Conference on Decision and Control |
| Publisher | IEEE, Institute of Electrical and Electronics Engineers |
| Pages | 2844-2849 |
| Number of pages | 6 |
| Volume | 3 |
| Publication status | Published - 2001 |
| Externally published | Yes |
| Event | IEEE Conference on Decision and Control 2001 - Orlando, United States of America Duration: 4 Dec 2001 → 4 Dec 2001 Conference number: 40th https://ieeexplore.ieee.org/xpl/conhome/7709/proceeding (Proceedings) |
Conference
| Conference | IEEE Conference on Decision and Control 2001 |
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| Abbreviated title | CDC 2001 |
| Country/Territory | United States of America |
| City | Orlando |
| Period | 4/12/01 → 4/12/01 |
| Internet address |
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