Affiliation:
1. College of Sciences, Northeastern University, Shenyang 110819, China
2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China
Abstract
In this paper, new stability criteria for linear time-invariant fractional-order systems (LTIFOSs) based on linear matrix inequalities (LMIs) are derived. The solved variable of the existing LMI formulations is generalized to a complex one. In addition, based on the congruent transformation, a new LMI formulation is obtained, which is different from those in the existing literature. To deal with the above LMIs more conveniently with simulation software, the complex LMIs are converted to equivalent real LMIs. Finally, numerical examples are presented to validate the effectiveness of our theoretical results.
Funder
National Natural Science Foundation of China
National Key Research and Development Program of China
Xingliao Talent Program of Liaoning Province of China
Natural Science Foundation of Liaoning Province of China
Fundamental Research Funds for the Central Universities of China
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
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