Work

Robust stability analysis via disturbance-dependent Lyapunov functions

Year: 2025

Type: article

Abstract: The Lyapunov functions method is a powerful stability analysis tool of complex dynamic systems. In this work, it is revised for stability analysis under uncertain conditions to augment the arsenal of existing Lyapunov functions by admitting their dependence on external disturbances affecting the system. To this end, robust stability is specified for nonlinear systems affected by uncertain disturbances. Their analysis is then developed in terms of disturbance-dependent Lyapunov functions which are conceptualized for the systems in question. It is shown that robust stability is guaranteed in the presence of such a Lyapunov function. The effectiveness of the proposed analysis tools is illustrated by a nontrivial example.

Source: Journal of Automation and Intelligence

DOI: 10.1016/j.jai.2025.12.003

Authors: Yury V. Orlov, Sergey A. Kochetkov, Victor A. Utkin

Institutions: Russian Academy of Sciences, V. A. Trapeznikov Institute of Control Sciences

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7117895802

FWCI:

Cites: 13

Cited by:

Related to: