On the radius of stabilizability of lti systems: Application to projection implementation in indirect adaptive control

摘要

AbstractIn this paper we solve the problem of finding the ‘largest sphere’ around a linear time‐invariant (LTI) stabilizable plant such that all plants of the same order in the sphere are also stabilizable and there exists a plant in its boundary that is not stabilizable. The sphere is described in the plant parameter space and an explicit expression for its radius is given. This result solves the open problem in indirect adaptive control of determining the region to which the parameter search procedure should be constrained so that stabilizability of the estimated plant is pres