A spectral Lyapunov function for exponentially stable LTV systems

Authors:
J. Jim Zhu;Yong Liu;Rui Hang
Affiliations:
School of Electrical Engineering and Computer Science, Ohio University, Athens, OH;Cardinal Health Inc., Yorba Linda, CA;School of Electrical Engineering and Computer Science, Ohio University, Athens, OH
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 6
Cited 0

Stable adaptive systems

Stable adaptive systems
Linear system theory (2nd ed.)

Linear system theory (2nd ed.)
Nonlinear and Adaptive Control Design

Nonlinear and Adaptive Control Design
Robust Controller Synthesis for Uncertain Time-Varying Systems

SIAM Journal on Control and Optimization
Omni-directional mobile robot controller based on trajectory linearization

Robotics and Autonomous Systems
Survey Research on gain scheduling

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper presents the formulation of a Lyapunov function for an exponentially stable linear time-varying (LTV) system using a well-defined PD-spectrum and the associated PD-eigenvectors. It provides a bridge between the first and second methods of Lyapunov for stability assessment, and will find significant applications in the analysis and control law design for LTV systems and linearizable nonlinear time-varying systems.