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Appl. Sci. 2017, 7(11), 1187; https://doi.org/10.3390/app7111187

Input–Output Finite Time Stabilization of Time-Varying Impulsive Positive Hybrid Systems under MDADT

1,2,†
and
1,†,*
1
School of mathematics and statistics, Xidian University, Xi’an 710126, China
2
School of Science, Xi’an Polytechnic University, Xi’an 710048, China
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 31 August 2017 / Revised: 23 October 2017 / Accepted: 7 November 2017 / Published: 17 November 2017
(This article belongs to the Special Issue Modeling, Simulation, Operation and Control of Discrete Event Systems)
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Abstract

Time-varying impulsive positive hybrid systems based on finite state machines (FSMs) are considered in this paper, and the concept of input–output finite time stability (IO-FTS) is extended for this type of hybrid system. The IO-FTS analysis of the single linear time-varying system is given first. Then, the sufficient conditions of IO-FTS for hybrid systems are proposed via the mode-dependent average dwell time (MDADT) technique. Moreover, the output feedback controller which can stabilize the non-autonomous hybrid systems is derived, and the obtained results are presented in a linear programming form. Finally, a numerical example is provided to show the theoretical results. View Full-Text
Keywords: input–output finite time stability; positive hybrid systems; event-driven; linear programming; FSM; MDADT input–output finite time stability; positive hybrid systems; event-driven; linear programming; FSM; MDADT
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Yao, L.; Li, J. Input–Output Finite Time Stabilization of Time-Varying Impulsive Positive Hybrid Systems under MDADT. Appl. Sci. 2017, 7, 1187.

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