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math.OC2023
Improved Small-Signal L2 Gain Analysis for Nonlinear Systems
Amy Strong, Reza Lavaei, Leila J. Bridgeman
TheL2-gain characterizes a dynamical system's input-output properties, but can be difficult to determine for nonlinear systems. Previous work designed a nonconvex optimization prob…
eess.SY2023
Iterative, Small-Signal L2 Stability Analysis of Nonlinear Constrained Systems
Reza Lavaei, Leila J. Bridgeman
This paper provides a method to analyze the small-signal L2 gain of control-affine nonlinear systems on compact sets via iterative semi-definite programs. First, a continuous piece…