Abstract: Consider a set of linear time-invariant continuous-time systems that is a convex hull with vertices formed by a given set of systems.
finding a common quadratic lyapunov function using conical hulls
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The problem of finding a common Lyapunov function v, specified in terms of a symmetric positive definite matrix, for the convex hull of systems is tackled by ...
The paper proves existence theorems for the common Lyapunov function of a family of asymptotically stable dynamical systems. The theorems generalize and develop ...
Jun 28, 2024 · Abstract—This paper presents a simple graphical criterion to obtain all common quadratic Lyapunov functions for nonlinear systems contained ...
Jun 1, 2021 · For the linearized system dx/dt=Ax, there is an algorithmic way to find Lyapunov functions, namely take any positive definite matrix Q that you ...
Missing: conical hulls.
Cone-copositive piecewise quadratic Lyapunov functions (PWQ-LFs) for the stability analysis of continuous-time piecewise affine (PWA) systems are proposed.
Jun 29, 2024 · This paper presents a simple graphical criterion to obtain all common quadratic Lyapunov functions for nonlinear systems contained in the convex-hull of a set ...
title = {Finding a common quadratic Lyapunov function using conical hulls}, year = {2006} }. Download. RIS format (EndNote, RefMan). TY - CPAPER AU - Sasongko ...
The first objective of this paper is to answer this question in the affirmative by constructing a Lyapunov function as a functional of the solution trajectories ...
Abstract—This letter presents a simple graphical crite- rion to obtain all common quadratic Lyapunov functions for nonlinear systems contained in the ...
Missing: conical | Show results with:conical