Conditions for Strong Stabilizabilities of n-Dimensional Systems*

    loading  Checking for direct PDF access through Ovid

Abstract

This paper presents two computational criteria concerning the strong stabilizabilities of SISO (single-input single-output) n-D shift-invariant systems. The first one is an alternative necessary and sufficient condition for an n-D system to be stabilizable by a stable complex controller, which is an explicitly computable geometric equivalent to the topological one recently derived by Shiva Shankar. The second one is a necessary and sufficient condition for the stabilizability by a stable real controller, which can be viewed as a generalization of the well-known Youla's parity interlacing property for the 1-D case. Furthermore, related prolems for computational testing of the criteria are summarized and some basic ideas on potential solution methods based on the cylindrical algebraic decomposition of algebraic varieties are outlined.

Related Topics

    loading  Loading Related Articles