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Stability Criteria for Large-Scale Linear Systems with Structured Uncertainties

Stability Criteria for Large Scale Linear Systems with Structured Uncertainties
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摘要 The robust stability analysis for large scale linear systems with structured time varying uncertainties is investigated in this paper.By using the scalar Lyapunov functions and the properties of M matrix and nonnegative matrix,stability robustness measures are proposed.The robust stability criteria obtained are applied to derive an algebric criterion which is expressed directly in terms of plant parameters and is shown to be less conservative than the existing ones.A numerical example is given to demonstrate the stability criteria obtained and to compare them with the previous ones. The robust stability analysis for large scale linear systems with structured time varying uncertainties is investigated in this paper.By using the scalar Lyapunov functions and the properties of M matrix and nonnegative matrix,stability robustness measures are proposed.The robust stability criteria obtained are applied to derive an algebric criterion which is expressed directly in terms of plant parameters and is shown to be less conservative than the existing ones.A numerical example is given to demonstrate the stability criteria obtained and to compare them with the previous ones.
出处 《Journal of Modern Transportation》 1996年第2期46-53,共8页 现代交通学报(英文版)
关键词 large scale system robust stability structured uncertainty Lyapunov method decentralized control large scale system,robust stability,structured uncertainty,Lyapunov method,decentralized control
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