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 …

A method for constructing homogeneous Lyapunov functions of degree 1 from polynomial
invariant sets is presented for linear time varying systems, homogeneous dynamic systems …

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 …

This paper studies the infinite-time behavior of switched linear systems in the presence of
additive noise. In particular, we show that the propagation of the state covariance matrix can …

We introduce a new class of quadratic functions based on a hierarchy of linear time-varying
(LTV) dynamical systems. These quadratic functions in the higher order space can be also …

Stability margins for linear time-varying (LTV) and switched-linear systems are traditionally
computed via quadratic Lyapunov functions, and these functions certify the stability of the …

This paper investigates stability analysis for implicit, switched linear systems using
homogeneous Lyapunov functions (HLF). HLFs of increasing degree are constructed …

Quadratic Lyapunov function has been widely used in the analysis of linear time invariant
(LTI) systems ever since it has shown that the existence of such quadratic Lyapunov function …