Xiangyu Gao - Profile on Academia.edu (original) (raw)
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Asian Journal of Control, 2008
This paper investigates robust stability of discretetime descriptor polytopic systems (DTDPSs for... more This paper investigates robust stability of discretetime descriptor polytopic systems (DTDPSs for short). The concept of affine generalized quadratic stability, which has less conservatism than generalized quadratic stability, of DTDPSs is proposed. It not only investigates affine generalized quadratic stability of DTDPSs implies robust stability, but also presents criterions in terms of linear matrix inequalities to test the (affine) generalized quadratic stability based on time-varying parameter-dependent Lyapunov function. Finally, a numerical example presents the effectiveness of the proposed method. * Corresponding author. (continuous-time systems) when these special cases of Dstability are investigated. In addition, some robust stability results of linear parameter-varying systems with parametric uncertainties are obtained [19]-[21]. On the other hand, descriptor systems have been extensively studied during the past four decades due to their wide applications in circuits, economic, large scale systems, and other areas [22]. Many notions and results in statespace systems have been extended to descriptor systems [23], since the latter can present a much wider class of systems than state-space systems can. However, few results on robust stability analysis for descriptor polytopic systems have been reported so far [24]-[26]. So the study of such problems is
Asian Journal of Control, 2008
This paper investigates robust stability of discretetime descriptor polytopic systems (DTDPSs for... more This paper investigates robust stability of discretetime descriptor polytopic systems (DTDPSs for short). The concept of affine generalized quadratic stability, which has less conservatism than generalized quadratic stability, of DTDPSs is proposed. It not only investigates affine generalized quadratic stability of DTDPSs implies robust stability, but also presents criterions in terms of linear matrix inequalities to test the (affine) generalized quadratic stability based on time-varying parameter-dependent Lyapunov function. Finally, a numerical example presents the effectiveness of the proposed method. * Corresponding author. (continuous-time systems) when these special cases of Dstability are investigated. In addition, some robust stability results of linear parameter-varying systems with parametric uncertainties are obtained [19]-[21]. On the other hand, descriptor systems have been extensively studied during the past four decades due to their wide applications in circuits, economic, large scale systems, and other areas [22]. Many notions and results in statespace systems have been extended to descriptor systems [23], since the latter can present a much wider class of systems than state-space systems can. However, few results on robust stability analysis for descriptor polytopic systems have been reported so far [24]-[26]. So the study of such problems is