EIGENVALUE INCLUSION REGIONS AND THEIR USE IN THE ANALYSIS OF LINEAR AND NONLINEAR MULTIVARIABLE FEEDBACK SYSTEM.

Journal article

The derivation of tight eigenvalue inclusion regions help extend the Generalised Nyquist criterion to the case of uncertain systems and lead to a necessary and sufficient Nyquist type of criterion for the case of unstructured perturbations. The approach provides an exact and immediate assessment of gain/phase margins. When applied to systems with nonlinearities which are sector bounded but otherwise unstructured, it produces a necessary and sufficient test for the circle criterion conditions to hold in the multivariable case; as such the resulting criterion is an improvement on the currently available extensions of the circle criterion.

Authors: Daniel, R; Kouvaritakis, B

• Publisher: r IFAC by Pergamon Press
• Journal: IFAC Proceedings Series
• Pages: 115-120
• Publication date: 1985-01-01
• ISSN: 0741-1146
• Language: English