Robust stability of homogeneous large-scale bilinear systems with time delays and uncertainties |
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Authors: | Cheng-Yi Chen Chien-Hua Lee |
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Affiliation: | aThe Department of Electrical Engineering, Cheng-Shiu University, No. 840, Cheng Ching Road, Niaosong Township, Kaohsiung County 83347, Taiwan |
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Abstract: | This paper addresses the problem of stability analysis for homogeneous large-scale uncertain bilinear time-delay systems subjected to constrained inputs. Both nonlinear uncertainties and interval systems are discussed. Several delay-independent criteria are presented to guarantee the asymptotic stability of the overall systems. The main feature of the presented criteria is that although the Lyapunov stability theorem is used, they do not involve any Lyapunov equations that may be unsolvable. Three illustrative numerical examples are presented to verify the effectiveness of the proposed stability criteria. |
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Keywords: | Homogeneous bilinear system Time-delay Uncertainty Constrained input Transient response Decay rate |
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