Tiao‐Yang Cai

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All published works
Action Title Year Authors
+ Jacobian Discriminant Approach to Characterize Stability Switching Curves of LTI Systems with Two Delays 2024 Tiao‐Yang Cai
Rifat Sipahi
+ A Direct Algorithm for the Stability and Hopf Bifurcation of A Logistic Differential Equation Versus Time Delay 2023 Tiao‐Yang Cai
Lei Zhang
Huilong Jin
+ PDF Chat On Stability Switches and Bifurcation of the Modified Autonomous Van der Pol–Duffing Equations via Delayed State Feedback Control 2021 Tiao‐Yang Cai
Huilong Jin
Hong Yu
Xiangpeng Xie
+ On the $\mathcal{T}$ Decomposition Method for PD Controllers of the Low Order Time Delay Process 2019 Tiao‐Yang Cai
Ranran Zhang
+ On <i>τ</i> ‐decomposition frequency‐sweeping strategy to rational‐order fractional systems with commensurate delays 2014 Huaguang Zhang
Tiao‐Yang Cai
Yingchun Wang
+ The asymptotic analysis of multiple imaginary characteristic roots for LTI delayed systems based on Puiseux–Newton diagram 2012 Tiao‐Yang Cai
Huaguang Zhang
Binrui Wang
Feisheng Yang
+ On Computing Puiseux Series for Multiple Imaginary Characteristic Roots of LTI Systems With Commensurate Delays 2012 Xu-Guang Li
Silviu‐Iulian Niculescu
Arben Çela
Honghai Wang
Tiao‐Yang Cai
+ The application of Puiseux-Newton diagram on the asymptotic analysis of multiple imaginary characteristic roots of LTI delay systems 2012 Tiao‐Yang Cai
Huaguang Zhang
Feisheng Yang
Liu Zhen-wei
+ Some remarks on Puiseux Series for multiple imaginary characteristic roots of linear time-delay systems 2012 Xu-Guang Li
Silviu‐Iulian Niculescu
Arben Çela
Honghai Wang
Tiao‐Yang Cai
+ A unified model for general delay systems 2011 Feisheng Yang
Huaguang Zhang
Tiao‐Yang Cai
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Direct method for TDS stability analysis 1987 K. Walton
John Marshall
6
+ Direct method for TDS stability analysis 1987 K. Walton
John Marshall
5
+ On the $\tau $-Decomposition Method of Stability Analysis for Retarded Dynamical Systems 1969 Muo S. Lee
C. S. Hsu
5
+ An Eigenvalue Perturbation Approach to Stability Analysis, Part I: Eigenvalue Series of Matrix Operators 2010 Jie Chen
Peilin Fu
Silviu‐Iulian Niculescu
Zhi‐Hong Guan
4
+ An Eigenvalue Perturbation Approach to Stability Analysis, Part II: When Will Zeros of Time-Delay Systems Cross Imaginary Axis? 2010 Jie Chen
Peilin Fu
Silviu‐Iulian Niculescu
Zhi‐Hong Guan
4
+ Stability of Time-Delay Systems 2003 Keqin Gu
Vladimir L. Kharitonov
Jie Chen
4
+ On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations 1980 Edward W. Kamen
4
+ Stability with Respect to the Delay: On a Paper of K. L. Cooke and P. van den Driessche 1998 F. G. Boese
3
+ Discrete delay, distributed delay and stability switches 1982 Kenneth L. Cooke
Zvi Grossman
3
+ A new method for computing delay margins for stability of linear delay systems 1995 Jie Chen
Guoxiang Gu
C. N. Nett
3
+ PDF Chat Perturbation Theory for Linear Operators 1995 Tosio Kato
2
+ Applied Delay Differential Equations 2009 Thomas Erneux
2
+ Degenerate Cases in Using the Direct Method 2003 Rifat Sipahi
Nejat Olgaç
2
+ A new method for computing delay margins for stability of linear delay systems 2002 Jie Chen
Guoxiang Gu
C. N. Nett
2
+ On stability crossing curves for general systems with two delays 2005 Keqin Gu
Silviu‐Iulian Niculescu
Jie Chen
2
+ Introduction to Functional Differential Equations 1993 Jack K. Hale
Sjoerd M. Verduyn Lunel
2
+ Nonlinear behavior of the parameterized Logistic differential systems 2006 Minghui Jiang
Yi Shen
Haigeng Luo
Xiaoxin Liao
1
+ Direct stability boundary method for distributed systems with discrete delay 1988 N. MacDonald
John Marshall
K. Walton
1
+ Linear systems with commensurate time delays: stability and stabilization independent of delay 1982 Edward W. Kamen
1
+ DDE-BIFTOOL v. 2.00: a Matlab package for bifurcation analysis of delay differential equations 2001 Koen Engelborghs
Tatyana Luzyanina
Giovanni Samaey
1
+ PDF Chat Numerical continuation methods for nonlinear equations and bifurcation problems 1977 James P. Abbott
1
+ Global Geometry of the Stable Regions for Two Delay Differential Equations 1993 Jack K. Hale
Wenzhi Huang
1
+ Analysis of fractional delay systems of retarded and neutral type 2002 Catherine Bonnet
J. R. Partington
1
+ Complete stability robustness of third-order LTI multiple time-delay systems 2005 Rifat Sipahi
Nejat Olgaç
1
+ Lyapunov–Krasovskii functional for uniform stability of coupled differential-functional equations 2009 Keqin Gu
Yi Liu
1
+ Horseshoe in a modified Van der Pol–Duffing circuit 2009 Qingju Fan
1
+ A numerical algorithm for stability testing of fractional delay systems 2006 Chyi Hwang
Yi‐Cheng Cheng
1
+ Stability analysis of multiple time delayed fractional order systems 2013 Mohammad Ali Pakzad
Sara Pakzad
Mohammad Ali Nekoui
1
+ Stability analysis of time-delayed linear fractional-order systems 2013 Mohammad Ali Pakzad
Sara Pakzad
Mohammad Ali Nekoui
1
+ PDF Chat DIFFERENTIAL-DIFFERENCE EQUATIONS 1987 Kenneth L. Cooke
1
+ Discretized Lyapunov–Krasovskii functional for coupled differential–difference equations with multiple delay channels 2010 Hongfei Li
Keqin Gu
1
+ Stability Robustness Analysis of Multiple Time- Delayed Systems Using “Building Block” Concept 2007 Hassan Fazelinia
Rifat Sipahi
Nejat Olgaç
1
+ PDF Chat Difference–Differential Equations 1948 E. M. Wright
1
+ Bifurcation analysis for a regulated logistic growth model 2006 Yongli Song
Sanling Yuan
1
+ One-dimensional linear and logistic harvesting models 1986 Kenneth L. Cooke
Matthew Witten
1
+ Differential Equations: Stability, Oscillations, Time Lags 1967 H. A. Antosiewicz
A. Halanay
1
+ Stability of linear time invariant fractional delay systems of retarded type in the space of delay parameters 2013 Afshin Mesbahi
ءMohammad Haeri
1
+ Stability, bifurcation and a new chaos in the logistic differential equation with delay 2005 Minghui Jiang
Yi Shen
Jigui Jian
Xiaoxin Liao
1
+ On Computing Puiseux Series for Multiple Imaginary Characteristic Roots of LTI Systems With Commensurate Delays 2012 Xu-Guang Li
Silviu‐Iulian Niculescu
Arben Çela
Honghai Wang
Tiao‐Yang Cai
1
+ An analytic stability test for a class of time-delay systems 1981 Arild Thowsen
1
+ Stability of PID-controlled second-order time-delay feedback systems 2009 Gianpasquale Martelli
1
+ A stability study on first-order neutral systems with three rationally independent time delays 2010 Rifat Sipahi
Nejat Olgaç
Dimitri Breda
1
+ On stability test for a class of distributed parameter systems with delays 1986 E.I. Jury
E. Zeheb
1
+ Qualitative analysis on the initial value problem to the logistic equation with delay 2002 Ryszard Kowalczyk
Urszula Foryś
1
+ On the stability of coupled delay differential and continuous time difference equations 2003 Pierdomenico Pepe
Erik I. Verriest
1
+ An analysis stability test for a certain class of distributed parameter systems with delays 1985 Nursel Öztürk
A. Uraz
1
+ PDF Chat Newton's diagram method for nonlinear equations with several small parameters 2002 Peter Aizengendler
1
+ The Difference-Differential Equation F'(x) = eαx+β F(x–1) I 1953 N.G. De Bruijin
1
+ PDF Chat A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems 2012 André R. Fioravanti
Catherine Bonnet
Hitay Özbay
Silviu‐Iulian Niculescu
1
+ A matrix method for determining the imaginary axis eigenvalues of a delay system 2001 James Louisell
1