论文信息 - Stability robustness for linear state space models—a Lyapunov mapping approach

Stability robustness for linear state space models—a Lyapunov mapping approach

Some Pythagorean-like conditions for the existence of a common Lyapunov solution for two given matrices are presented. These conditions are set on the Lyapunov mappings associated with given matrices. The key is the semipositiveness of linear mappings defined on symmetric matrices. From the viewpoint of the existence of a common Lyapunov solution, some known stability robustness results are reviewed and refined.

Yasuyuki Funahashi | Tatsushi Ooba

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