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Transformation of optimal control problems of descriptor systems into problems with state-space systems

Jovan Stefanovski — 2012

Kybernetika

We show how we can transform the ℋ ∞ and ℋ 2 control problems of descriptor systems with invariant zeros on the extended imaginary into problems with state-space systems without such zeros. Then we present necessary and sufficient conditions for existence of solutions of the original problems. Numerical algorithm for ℋ ∞ control is given, based on the Nevanlinna-Pick theorem. Also, we present an explicit formula for the optimal ℋ 2 controller.

Decentralized control and synchronization of time-varying complex dynamical network

Wei-Song Zhong;  Jovan D. Stefanovski;  Georgi M. Dimirovski;  Jun Zhao — 2009

Kybernetika

A new class of controlled time-varying complex dynamical networks with similarity is investigated and a decentralized holographic-structure controller is designed to stabilize the network asymptotically at its equilibrium states. The control design is based on the similarity assumption for isolated node dynamics and the topological structure of the overall network. Network synchronization problems, both locally and globally, are considered on the ground of decentralized control approach. Each sub-controller...

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