Hankel-matrix approach to invertibility of linear multivariable systems
A new criterion for strong observability
Block bialternate sum with applications to computation of stability bounds
Existence of pole-zero structures in a rational matrix equation arising in a decentralized stabilization of expanding systems
A necessary and sufficient condition for the existence of pole and zero structures in a proper rational matrix equation is developed. This condition provides a new interpretation of sufficient conditions which ensure decentralized stabilizability of an expanded system. A numerical example illustrate the theoretical results.
Necessary and sufficient conditions for stabilization of expanding systems servomechanism problems
The problem of designing realistic decentralized controller to solve a servomechanism problem in the framework of “large scale systems” is considered in this paper. As any large scale system is built by expanding construction of one subsystem being connected to the existing system. In particular, it is desired to find a local stabilizing controller in terms of a free parameter (belonging to the ring of proper stable transfer functions) so that desirable properties of the controlled system, such...
Decentralized stabilization and strong stabilization of a bicoprime factorized plant
In this paper, a necessary and sufficient condition for decentralized stabilizability for expanding construction of large scale systems is established which involves the computation of blocking zeros and testing a rational function for sign changes at these blocking zeros. Results for the scalar as also multivariable cases are presented and a systematic procedure for designing the stabilizing controller is also outlined. The proposed theory is applicable to a wider class of systems than those for...
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