decay
Purpose
Quadratic decay rate of polytopic or affine P-systems
Syntax
Description
For affine parameter-dependent systems
E(p)
= A(p)x, p(t) = (p1(t), . . ., pn(t))
or polytopic systems
E(t)
= A(t)x, (A, E) 
Co{(A1, E1), . . ., (An, En)},
decay returns the quadratic decay rate drate, i.e., the smallest 
R such that
ATQE + EQAT < Q
holds for some Lyapunov matrix Q > 0 and all possible values of (A, E). Two control parameters can be reset via options(1) and options(2):
- If options(1)=0 (default), decay runs in fast mode, using the least expensive sufficient conditions. Set options(1)=1 to use the least conservative conditions.
- options(2) is a bound on the condition number of the Lyapunov matrix P. The default is 109.
See Also
quadstab Quadratic stability of polytopic or
parameter-dependent systems
pdlstab Robust stability of polytopic or affine
parameter-dependent systems (P-system)
psys Specification of uncertain state-space models
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