The exact bound of the unknown parameter for robust stability of linear system in state-space form is presented in this paper. If all unknown parameters are inside this bound, the real part of all eigenvalues are negative and the system is stable. If there are some parameters outsidc the bound, there is at least one eigenvalue with positive real part and the system is unstable. Hence, the exact bound obtained here is sufficiently necessary condition for the robust stability of a linear state space system. The bound is represented as a set of multi-linear equations of unknown parameters. A direct calculation procedure to obtain the bound is also given.
|Number of pages||6|
|Journal||Journal of the Chinese Institute of Electrical Engineering, Transactions of the Chinese Institute of Engineers, Series E/Chung KuoTien Chi Kung Chieng Hsueh K'an|
|State||Published - 1 May 2002|
- Linear state space system
- Multi-linear function
- Robust stability
- Routh-Hurwitz criterion