# Krasovskii and Shifted Passivity Based Control

## TL;DR

This paper introduces Krasovskii passivity and extended shifted passivity concepts to develop new passivity-based control methods, enhancing control system design with novel theoretical foundations.

## Contribution

It proposes the Krasovskii passivity concept and develops dynamic controllers based on this and extended shifted passivity, advancing passivity-based control techniques.

## Key findings

- Established properties of Krasovskii passive systems
- Linked four passivity concepts including Krasovskii passivity
- Developed novel dynamic controllers based on new passivity concepts

## Abstract

In this paper, our objective is to develop novel passivity based control techniques by introducing a new passivity concept named Krasovskii passivity. As a preliminary step, we investigate properties of Krasovskii passive systems and establish relations among four relevant passivity concepts including Krasovskii passivity. Then, we develop novel dynamic controllers based on Krasovskii passivity and based on extended shifted passivity.