Explicit asymmetric bounds for robust stability of continuous and discrete-time systems

The problem of robust stability in linear systems with parametric uncertainties is considered. Explicit stability bounds on uncertain parameters are derived and expressed in terms of linear inequalities for continuous systems and inequalities with quadratic terms for discrete-time systems. Cases where system parameters are nonlinear functions of an uncertainty are also examined. >

[1]  Kamal Premaratne,et al.  Robust stability of time-variant interval matrices , 1990, 29th IEEE Conference on Decision and Control.

[2]  Dennis S. Bernstein,et al.  Robust stability and performance analysis for linear dynamic systems , 1989 .

[3]  C. Storey,et al.  Matrix methods in stability theory , 1972, The Mathematical Gazette.

[4]  M. Mansour.  Robust stability of interval matrices , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[5]  E. Davison,et al.  New perturbation bounds for the robust stability of linear state space models , 1986, 1986 25th IEEE Conference on Decision and Control.

[6]  G. Stewart.  Introduction to matrix computations , 1973 .

[7]  J. Martin.  State-space measures for stability robustness , 1987 .

[8]  P. Khargonekar,et al.  Stability robustness bounds for linear state-space models with structured uncertainty , 1987 .

[9]  Rama K. Yedavalli,et al.  Stability Robustness Measures under Dependent Uncertainty , 1988, 1988 American Control Conference.