Dissipativety and Control of Invariant Sets

Combining the theory of
dissipative control, in
special H-infinity control,
with Lyapunov-like stability
arguments such as La Salles
invariance principle, the
dynamics of nonlinear systems
are controlled with multiple
control objectives as
stability of invariant sets
with L^2 gain attenuation, or
with Input-to-State
stability. The region of
validity for such multiple
task nonlinear controllers is
estimated and the robustness of
these controllers is
investigated.