||Dec 17, 2015
||Dr. Graziano Chesi, Associate Professor, Department of Electrical and Electronic Engineering, The University of Hong Kong
Stability and Performance Analysis of 2D Mixed Continuous-Discrete-Time Systems
2D mixed continuous-discrete-time systems allow one to study
complex phenomena characterized by continuous and discrete
evolutions that affect each other.
This talk addresses the stability and performance analysis of
2D mixed continuous-discrete-time linear systems through
the use of convex optimization in the form of linear matrix
inequality (LMI) feasibility tests.
Specifically, it is shown that a necessary and sufficient
condition for exponential stability can be given based on
the introduction of a complex Lyapunov function depending
polynomially on a frequency.
Moreover, it is shown that necessary and sufficient conditions
for establishing upper bounds of the H-infinity and H-2 norms
can be given based on the introduction of a complex Lyapunov
function depending rationally on a frequency.
Lastly, the numerical complexity of the proposed conditions is
analyzed, and an exact reduction technique is proposed.