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A method for decentralized stabilization of positive descriptor linear systems is proposed. Necessary and sufficient conditions for the decentralized stabilization of the positive descriptor linear systems are established. The efficiency of proposed method is demonstrated on numerical example.
A new class of positive 2D Roesser type models is introduced. Necessary and sufficient conditions are established for the reachability of the positive 2D Roesser type model for zero boundary conditions. It is shown that the positive 2D Roesser type model having not nilpotent system matrix is unreachable for nonzero boundary conditions. The minimum energy control problem is formulated and solved for...
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