Development of Analysis and Design of Index Feedback Control System using Invariant Sets.

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For development of analysis and design of the index feedback control systems using invariant sets, I have obtained some results and findings for a class of discrete-time linear system with a state and/or control constraint. These include an approximate method for calculating a maximal output admissible set for an online use, an evaluation method of the worst-case control performance for switched systems, and an index feedback control method that allows to improve a control performance in a transit response.