Hierarchy of Quadratic Lyapunov Functions for Linear Time-Varying and Related Systems

H Abdelraouf, E Feron, C Klett, M Abate… - Journal of Guidance …, 2024 - arc.aiaa.org
A method for constructing homogeneous polynomial Lyapunov functions is presented for
linear time-varying or switched-linear systems and the class of nonlinear systems that can …

Efficient disturbance rejection of gimbaled inertial stabilization platform via relay controller

Y Yoon, W Choi, S Kim - Journal of the Franklin Institute, 2022 - Elsevier
In this article a relay controller is introduced in the simple motor driven gimbaled inertial
stabilization platform (ISP) to improve disturbance rejection capacity. This improvement is …

Pointwise-in-time analysis and non-quadratic lyapunov functions for linear time-varying systems

M Abate, C Klett, S Coogan… - 2021 American Control …, 2021 - ieeexplore.ieee.org
Performance analysis for linear time-invariant (LTI) systems has been closely tied to
quadratic Lyapunov functions ever since it was shown that LTI system stability is equivalent …

Covariance control for discrete-time stochastic switched linear systems

M Fiacchini, T Alamo - IFAC-PapersOnLine, 2022 - Elsevier
This paper deals with the covariance control for discrete-time linear switched systems
affected by additive stochastic noises. Given any periodic stabilizing switching law for the …

Lyapunov Differential Equation Hierarchy and Polynomial Lyapunov Functions for Switched Implicit Systems

GY Immanuel, M Abate, E Feron - 2021 American Control …, 2021 - ieeexplore.ieee.org
This paper investigates stability analysis for implicit, switched linear systems using
homogeneous Lyapunov functions (HLF). HLFs of increasing degree are constructed …