KYP Lemma for Non-Strict Inequalities and the associated Minimax Theorem

TL;DR

This paper extends the classical KYP Lemma to non-strict inequalities and explores the related minimax theorem, broadening the theoretical framework for control and optimization problems.

Contribution

It introduces new variations of the KYP Lemma applicable to non-strict inequalities and discusses their implications for the associated minimax theorem.

Findings

Extended KYP Lemma for non-strict inequalities

New theoretical insights into the minimax theorem

Broadened applicability in control theory

Abstract

Several variations of the classical Kalman-Yakubovich-Popov Lemma, as well the associated minimax theorem are presented.