Lyapunov equation

Performance and Lyapunov Stability of a Nonlinear Path Following Guidance Method

Sanghyuk Park, John Deyst, Jonathan P. How

Citations: 423 • 2007

High-Order Control Barrier Functions

Wei Xiao, Călin Belta

Citations: 334 • 2021

RNN for Solving Time-Variant Generalized Sylvester Equation With Applications to Robots and Acoustic Source Localization

Long Jin, Jingkun Yan, Xiujuan Du, Xiuchun Xiao, Dongyang Fu

Citations: 174 • 2020

On Lyapunov control of the Duffing equation

Henk Nijmeijer, H. Berghuis

Citations: 152 • 1995

Finite-time state-dependent Riccati equation for time-varying nonaffine systems: Rigid and flexible joint manipulator control

Moharam Habibnejad Korayem, Saeed Rafee Nekoo

Citations: 139 • 2014

A control Lyapunov function approach to multi-agent coordination

Petter Ögren, Magnus Egerstedt, Xiaoming Hu

Citations: 96 • 2002

Controller Design for Uncertain Systems via Lyapunov Functions

L. D. Corless, G. Leitmann

Citations: 83 • 1988

Optimal Robust Control for Bipedal Robots through Control Lyapunov Function based Quadratic Programs

Quan Nguyen, Koushil Sreenath

Citations: 69 • 2015

State-dependent differential Riccati equation to track control of time-varying systems with state and control nonlinearities

Moharam Habibnejad Korayem, Saeed Rafee Nekoo

Citations: 66 • 2015

Stability of the second-order matrix polynomial

L.S. Shieh, Mohamad M. Mehio, H.M. Dib

Citations: 63 • 1987

A control Lyapunov function approach to multi-agent coordination

Petter Ögren, Magnus Egerstedt, Xiaoming Hu

Citations: 55 • 2003

Stability analysis of nonlinear quadratic systems via polyhedral Lyapunov functions

Francesco Amato, Francesco Calabrese, Carlo Cosentino, Alessio Merola

Citations: 51 • 2011

On stability analysis via Lyapunov exponents calculated from a time series using nonlinear mapping—a case study

Caixia Yang, Qiong Wu

Citations: 42 • 2009

Combining Control Lyapunov and Barrier Functions for constrained stabilization of nonlinear systems

Mrdjan Janković

Citations: 29 • 2017

Motion Control of a Nonholonomic System Based on the Lyapunov Control Method

Kazuo Tsuchiya, Takateru Urakubo, Katsuyoshi Tsujita

Citations: 26 • 2002

Smooth converse Lyapunov-barrier theorems for asymptotic stability with safety constraints and reach-avoid-stay specifications

Yiming Meng, Yinan Li, Maxwell Fitzsimmons, Jun Liu

Citations: 25 • 2022

Estimation of Lyapunov exponents from a time series for n-dimensional state space using nonlinear mapping

Caixia Yang, Christine Wu, Pei Zhang

Citations: 24 • 2012

Control of Two-wheeled Mobile Robot via Homogeneous Semiconcave Control Lyapunov function

Hisakazu Nakamura, Yuh Yamashita

Citations: 22 • 2013

A noise-suppressing Newton-Raphson iteration algorithm for solving the time-varying Lyapunov equation and robotic tracking problems

Guancheng Wang, Haoen Huang, Limei Shi, Chuhong Wang, Dongyang Fu, Long Jin

Citations: 22 • 2020

Block Design of Robust Control Systems by Direct Lyapunov Method

Вячеслав Хасанович Пшихопов, Mikhail Medvedev

Citations: 21 • 2011