𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lyapunov functions for diagonally dominant systems

✍ Scribed by J.C. Willems

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
488 KB
Volume
12
Category
Article
ISSN
0005-1098

No coin nor oath required. For personal study only.

✦ Synopsis

Smmmary--This paper deals with the construction of Lyapunov functions for the finite dimensional linear system = Ax when the entries of the generating matrix A satisfy various conditions requiring dominance of its diagonal elements and nonnagativity of its off-dingoual elements. The particular case in which the system defines a Markov chain is given special attention and it is shown that the results then imply certain inequalities which have an intuitively appealing information theoretic significance.

πŸ“œ SIMILAR VOLUMES

Lyapunov Functions for Infinite-Dimensio
Lyapunov Functions for Infinite-Dimensional Systems
✍ Maciej Kocan; Pierpaolo Soravia πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 203 KB

We study Lyapunov functions for infinite-dimensional dynamical systems governed by general maximal monotone operators. We obtain a characterization of Lyapunov pairs by means of the associated Hamilton-Jacobi partial differential equations, whose solutions are meant in the viscosity sense, as evolve

Construction of Lyapunov Functions for N
Construction of Lyapunov Functions for Nonlinear Systems Using Normal Forms
✍ Carla A Schwartz; Aiguo Yan πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 191 KB

In 8 , the authors used normal form theory to construct Lyapunov functions for critical nonlinear systems in normal form coordinates. In this work, the authors expand on those ideas by providing a method for constructing the associated normal form transformations that gives rise to the systematic de

Diagonal dominance for multivariable nyq
Diagonal dominance for multivariable nyquist array methods using function minimization
✍ Gary G. Leininger πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 494 KB

A~tract--A new method of achieving diagonal dominance for Nyquist array design methods is presented. The technique utilizes a conjugate direction function minimization algorithm to obtain dominance over a specified frequency range by minimizing the ratio of the moduli of the off-diagonal terms to th