In this paper, we consider the classical equations of the positive real lemma under the sole assumption that the state matrix A has unmixed spectrum: ...
It is shown that the order of the equations may be suitably reduced by restricting attention to a subspace related to a certain observable subsystem, ...
Sep 15, 2017 · The purpose of this study is to present a necessary and sufficient condition for existence of solutions of the positive real equations under the ...
TL;DR: This paper derives a necessary and sufficient condition for the solvability of the positive real lemma equations under the sole assumption that the ...
Solvability conditions for the positive real lemma equations in the ...
espace.curtin.edu.au › handle
Passivity theory and the positive real lemma have been recognised as two of the cornerstones of modern systems and control theory.
The purpose of this study is to present a necessary and sufficient condition for existence of solutions of the positive real equations under the only assumption ...
The purpose of this study is to present a necessary and sufficient condition for existence of solutions of the positive real equations under the only assumption ...
Moreover we show that the solution of the Lyapunov equation in the positive real lemma is positive definite. Next we show the positive real and strictly ...
People also ask
What is the positive real lemma?
What is the solvability of equations by radicals?
Passivity theory and the positive real lemma have been recognised as two of the cornerstones of modern systems and control theory. As digital control is ...
The positive real lemma is an important tool in systems and circuit the- ory, see, for example, [1]. The lemma can be described as follows. Let.