Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8055308 | Nonlinear Analysis: Hybrid Systems | 2018 | 10 Pages |
Abstract
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.
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Control and Systems Engineering
Authors
Na Zhang, Yuangong Sun, Fanwei Meng,