Summary: 332 IEEE TRANSACTIONS O N AUTOMATIC CONTROL, VOL. 38, NO. 2, FEBRUARY 1993
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explicitly in terms of the uncertain parameters, rather than a
hull Over intervals in parameter space. This is significant,
since it makes it possible to further reduce the conservatism of
the stability bounds in a class of problems where the knowledge
of the signs and ranges of the uncertain parameters are avail-
able. It also enables us to derive a similar bound for discrete-time
systems and investigate the cases where the systems parameters
are nonlinear functions of an uncertainty.
Consider the state-space model for continuous-time systems
with perturbation E
Explicit Asymmetric Bounds for Robust Stability of
Continuous and Discrete-Time Systems
X = ( A + E ) x (1.1)