Work

Unified Necessary and Sufficient Conditions for the Robust Stability of Interconnected Sector-Bounded Systems

Year: 2019

Type: conference-paper

Abstract: Classical conditions for ensuring the robust stability of a linear system in feedback with a sector-bounded nonlinearity include small gain, circle, passivity, and conicity theorems. In this work, we present a similar stability condition, but expressed in terms of relations defined on a general semi-inner product space. This increased generality leads to a clean result that can be specialized in a variety of ways. First, we show how to recover both sufficient and necessary-and-sufficient versions of the afore-mentioned classical results. Second, we show that suitably choosing the semi-inner product space leads to a new necessary and sufficient condition for weighted stability, which is in turn sufficient for exponential stability.

Source: IEEE Conference on Decision and Control (CDC)

DOI: 10.1109/cdc40024.2019.9029605

Authors: Saman Cyrus, Laurent Lessard

Institutions: University of Wisconsin–Madison, Wisconsin Institutes for Discovery

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2892292196

FWCI: 0.352

Cites: 33

Cited by: 1

Related to: 10