Sum of Squares Based Input-to-State Stability Analysis of Polynomial Nonlinear Systems

Hiroyuki ICHIHARA

doi:10.9746/jcmsi.5.218

Sum of Squares Based Input-to-State Stability Analysis of Polynomial Nonlinear Systems

SICE Journal of Control Measurement and System Integration ◽

10.9746/jcmsi.5.218 ◽

2012 ◽

Vol 5 (4) ◽

pp. 218-225 ◽

Cited By ~ 5

Author(s):

Hiroyuki ICHIHARA

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Sum Of Squares

Download Full-text

Stability Analysis for a class of Stochastic Nonlinear Systems Based on The Approximate Discrete-Time Models

2020 39th Chinese Control Conference (CCC) ◽

10.23919/ccc50068.2020.9189173 ◽

2020 ◽

Author(s):

Niankun Zhang ◽

Yu Kang ◽

Peilong Yu

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Discrete Time ◽

Stochastic Nonlinear Systems ◽

Discrete Time Models

Download Full-text

A robust fault detection filter for polynomial nonlinear systems via sum-of-squares decompositions

Systems & Control Letters ◽

10.1016/j.sysconle.2012.05.001 ◽

2012 ◽

Vol 61 (8) ◽

pp. 839-848 ◽

Cited By ~ 15

Author(s):

Giuseppe Franzè ◽

Domenico Famularo

Keyword(s):

Nonlinear Systems ◽

Fault Detection ◽

Sum Of Squares ◽

Fault Detection Filter ◽

Robust Fault Detection ◽

Detection Filter

Download Full-text

Nonlinear Systems: Stability Analysis

Electronics and Power ◽

10.1049/ep.1977.0423 ◽

1977 ◽

Vol 23 (9) ◽

pp. 741

Author(s):

S.P. Banks

Keyword(s):

Stability Analysis ◽

Nonlinear Systems

Download Full-text

Stability analysis of discontinuous nonlinear systems via piecewise linear Lyapunov functions

Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148) ◽

10.1109/acc.2001.945751 ◽

2001 ◽

Cited By ~ 3

Author(s):

Y. Ohta ◽

T. Wada ◽

D.D. Siljak

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions

Download Full-text

OFEP based Adaptive Anti-Windup Control for Nonlinear Systems and Its Stability Analysis

10.1109/icamechs54019.2021.9661540 ◽

2021 ◽

Author(s):

Yongjie Yu ◽

Ikuro Mizumoto

Keyword(s):

Stability Analysis ◽

Nonlinear Systems

Download Full-text

Stability Analysis of Nonlinear Systems via Descriptor Equations

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)31668-3 ◽

2004 ◽

Vol 37 (11) ◽

pp. 557-562

Author(s):

Masao Ikeda ◽

Teruyo Wada ◽

Eiho Uezato

Keyword(s):

Stability Analysis ◽

Nonlinear Systems

Download Full-text

A Stability Analysis Method for Nonlinear Systems with Fuzzy Logic Controller

2006 Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing ◽

10.1109/synasc.2006.10 ◽

2006 ◽

Cited By ~ 1

Author(s):

Marius L. Tomescu ◽

Gheorghe Petrov

Keyword(s):

Fuzzy Logic ◽

Stability Analysis ◽

Nonlinear Systems ◽

Fuzzy Logic Controller ◽

Analysis Method

Download Full-text

Asymptotic Stability Analysis of Discrete-Time Switched Cascade Nonlinear Systems With Delays

IEEE Transactions on Automatic Control ◽

10.1109/tac.2019.2942009 ◽

2020 ◽

Vol 65 (6) ◽

pp. 2686-2692 ◽

Cited By ~ 2

Author(s):

Xingwen Liu ◽

Shouming Zhong

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Asymptotic Stability ◽

Discrete Time

Download Full-text

Lyapunov stability analysis of Caputo fractional-order nonlinear systems

10.22541/au.160067909.93081645 ◽

2020 ◽

Author(s):

Imed Basdouri ◽

Souad Kasmi ◽

Fahmi Mabrouk ◽

Rim Messaoud

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Fractional Order ◽

Lyapunov Stability ◽

Lyapunov Stability Analysis

Download Full-text

Stability analysis of discrete-time switched nonlinear systems with delays and perturbations

2016 Chinese Control and Decision Conference (CCDC) ◽

10.1109/ccdc.2016.7531356 ◽

2016 ◽

Cited By ~ 1

Author(s):

Xingwen Liu

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Discrete Time ◽

Switched Nonlinear Systems

Download Full-text