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On the simultaneous stabilization for a family of time‐varying linear systems under the transmission condition

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This paper deals with the simultaneous stabilization problem for a family of discrete time‐varying linear systems in the framework of nest algebra. Under the transmission condition, a necessary and sufficient… Click to show full abstract

This paper deals with the simultaneous stabilization problem for a family of discrete time‐varying linear systems in the framework of nest algebra. Under the transmission condition, a necessary and sufficient condition for simultaneous "stabilizability" is established in terms of single strong representation for only one controller in the transmission condition, in which the resulting characterization involves no strong representation of the plants compared to previous work.

Keywords: condition; simultaneous stabilization; varying linear; time varying; transmission condition

Journal Title: Asian Journal of Control
Year Published: 2019

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