Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 29, Issue -, Pages 363-372Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2018.03.004
Keywords
Positive nonlinear system; Switched system; Homogeneous cooperative system; State bounding; Exogenous input
Categories
Funding
- National Natural Science Foundation of China [11601184, 61473133, 11671227]
- Natural Science Foundation of Shandong Province [JQ201119]
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This paper considers the state bounding problem for switched homogeneous positive nonlinear systems with bounded exogenous input. Both continuous-time switched positive nonlinear systems whose vector fields are homogeneous of degree one and cooperative, and discrete-time switched positive nonlinear systems whose vector fields are homogeneous of degree one and order preserving are discussed under average dwell time switching. By using a new method, we derive necessary and sufficient conditions for the existence of a ball where all the solutions of the system converge exponentially within. Numerical examples are also presented to illustrate the theoretical results. (C) 2018 Elsevier Ltd. All rights reserved.
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