Absolute stability analysis for negative-imaginary systems

DOI10.1016/J.AUTOMATICA.2016.01.029zbMath1335.93093OpenAlexW2293614119MaRDI QIDQ259411

Siddhartha Sen, Arnab Dey, Sourav Patra

Publication date: 11 March 2016

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2016.01.029

zbMATH Keywords

Lyapunov functionabsolute stabilitypositive feedbackLur'e systemnegative-imaginary systemslope-restricted nonlinearity

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (7)

The Aizerman and Kalman conjectures using symmetry ⋮ An observer-based control scheme using negative-imaginary theory ⋮ Comment on: ``Absolute stability analysis for negative-imaginary systems ⋮ Absolute stability of switched Lurie systems via dwell time switching ⋮ Applying negative imaginary systems theory to non-square systems with polytopic uncertainty ⋮ Stability analysis and controller design for Lur'e system with hysteresis nonlinearities: a negative-imaginary theory based approach ⋮ Interval frequency negative imaginary systems

Uses Software

• CVX

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A strongly strict negative-imaginary lemma for non-minimal linear systems
• On lossless negative imaginary systems
• Absolute stability analysis of linear systems with Duhem hysteresis operator
• A negative-imaginary lemma without minimality assumptions and robust state-feedback synthesis for uncertain negative-imaginary systems
• Some new results in the theory of negative imaginary systems with symmetric transfer matrix function
• Generalizing Negative Imaginary Systems Theory to Include Free Body Dynamics: Control of Highly Resonant Structures With Free Body Motion
• A KYP lemma and invariance principle for systems with multiple hysteresis non-linearities
• A stability inequality for nonlinear feedback systems with slope-restricted nonlinearity
• Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and popov theorems and their application to robust stability. Part I: Continuous‐time theory
• An absolute stability criterion for the Lur'e problem with sector and slope restricted nonlinearities
• The asymptotic stability of nonlinear (Lur'e) systems with multiple slope restrictions
• Absolute stability criteria for multiple slope-restricted monotonic nonlinearities
• Robust performance analysis for uncertain negative‐imaginary systems
• Stability Robustness of a Feedback Interconnection of Systems With Negative Imaginary Frequency Response
• On the Existence of Stable, Causal Multipliers for Systems With Slope-Restricted Nonlinearities
• Towards Controller Synthesis for Systems with Negative Imaginary Frequency Response
• A Negative Imaginary Lemma and the Stability of Interconnections of Linear Negative Imaginary Systems
• Stability criteria of sector- and slope-restricted Lur'e systems
• Systems With Counterclockwise Input–Output Dynamics
• Stability Analysis of Interconnected Systems With “Mixed” Negative-Imaginary and Small-Gain Properties
• Stability Conditions for Systems with Monotone and Slope-Restricted Nonlinearities
• Dissipative systems analysis and control. Theory and applications

This page was built for publication: Absolute stability analysis for negative-imaginary systems