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Stability of uncertain delay differential equations
2017
Journal of Intelligent & Fuzzy Systems
Uncertain delay differential equation is a type of differential equations driven by a canonical Liu process. This paper mainly focuses on the stability of uncertain delay differential equations. ...
At first, the concept of stability in measure, stability in mean and stability in moment for uncertain delay differential equations will be presented. ...
Acknowledgment This work is supported by Natural Science Foundation of Shandong Province (ZR2014GL002) and Higher Educational Science and Technology Program of Shandong Province (12LN15). ...
doi:10.3233/jifs-16639
fatcat:pjvwf4fqxfhkfiase44qfwwwey
Robust stability of uncertain stochastic differential delay equations
1998
Systems & control letters (Print)
q 8i x | j x ¢ e þ 8 x | e 9f ei $ W x i jp e Wu x i ji y 9 vn jf 9x f i ~ D e 9f ~ G x j W 8x f Ñ 5s Qµ R X c D iù %T $ 9 jf 9x G Öf 9 x 9 $ 8 ei 9 9 x q e r x sÖi j 9x ¢ ! ...
doi:10.1016/s0167-6911(98)00080-2
fatcat:lnukxxrndbe4rgrg2zamrkwzt4
A New Stability Analysis of Uncertain Delay Differential Equations
2019
Mathematical Problems in Engineering
This paper first provides a concept of almost sure stability for uncertain delay differential equations and analyzes this new sort of stability. ...
Finally, the relationship between almost sure stability and stability in measure for uncertain delay differential equations is discussed. ...
Acknowledgments This work was funded by National Natural Science Foundation of China (11701338) and a Project of Shandong Province Higher Educational Science and Technology Program (J17KB124). ...
doi:10.1155/2019/1257386
fatcat:rqljyqp3kjdcphhmrxcfukktmq
Existence, uniqueness, and stability of uncertain delay differential equations with V-jump
2020
Advances in Difference Equations
Once more, the concept of stability for uncertain delay differential equations with V-jump is proposed. In addition, the sufficient condition for stability theorem is derived. ...
No previous study has involved uncertain delay differential equations with jump. ...
Authors' contributions All authors read and approved the final version of the manuscript. ...
doi:10.1186/s13662-020-02895-4
fatcat:uud5uflybbggzjsfniv275mu3y
Partial stabilisation of large-scale discrete-time linear control systems
2005
International Journal of Computational Science and Engineering (IJCSE)
Yang Asymptotic Stability of Solutions Delay Differential Equations 859 Y. H. Peng Robust Control for The Time-Varying Delay Uncertain
Neutral Systems
654
X. G. Yu and B. T. ...
Gao Stability of Impulsive Differential Equations with Time Delay 745 Y. Zhang and J. Sun Stability of Sampled-Data Systems with Nonequidistant Sampling 753 G. ...
doi:10.1504/ijcse.2005.008907
fatcat:7bcwbbhnv5bf7omtgtuz5dhkkm
Qualitative Analysis of Dynamic Activity Patterns in Neural Networks
2011
Journal of Applied Mathematics
We present a result on the stability of moving invariant manifolds of nonlinear uncertain impulsive differential-difference equations. ...
the results of investigation on the stability of moving invariant manifolds of nonlinear uncertain impulsive differential-difference equations. ...
This paper presents the simulation of electrical loads from consumers and from a distributed generation (DG) in network nodes in using a neural network method and an algorithm of Feed -forward neural networks ...
doi:10.1155/2011/208517
fatcat:k237pc47bzddtitm7f2uuf4abm
Page 5190 of Mathematical Reviews Vol. , Issue 88j
[page]
1988
Mathematical Reviews
Akhmerov (2-AOSSI-MC)
88j:34156 34K20 92A15 Bélair, Jacques (3-MTRL) Stability of a differential-delay equation with two time lags. ...
The authors consider the uncertain system of differential dif- ference equations (1) X(t) = Apx(t) + Ai x(t —h) + fo(x(t),t) + ...
Page 2470 of Mathematical Reviews Vol. , Issue 99d
[page]
1991
Mathematical Reviews
The author presents an overview of the investigation of the stability of delay differential equations by means of quadratic Lyapunov functionals or functions. ...
(RS-MIEM-CY; Moscow)
Stability of nonlinear differential equations with distributed delay. Nonlinear Anal. 34 (1998), no. 7, 1081-1095. ...
Page 2950 of Mathematical Reviews Vol. , Issue 2004d
[page]
2004
Mathematical Reviews
The results obtained are extended to treat the exponential stability of uncertain paramet- ric systems with multiple time-delays. ...
(KEN-NRB; Nairobi)
Periodic solutions of a system of delay differential equations. (English summary)
Indian J. Math. 44 (2002), no. 1, 95-117. ...
Page 2064 of Mathematical Reviews Vol. , Issue 97C
[page]
1997
Mathematical Reviews
The parameter space is then given a topology (which allows the delays tT; to vary), and it is shown that the set of parameter values for which the corresponding system of delay differential equations is ...
The author studies the following system of delay differential equations:
X(t) = A(o},-++,0%)x(t)+ B(t,--+,t%)u(t),
where A and B are polynomial matrices in the delay operators. ...
Robust Control of Delayed Fin Stabilizer Stochastic Systems of a Ship
2018
Proceedings of Engineering and Technology Innovation
In this paper, the robust control problem of delayed fin stabilizer stochastic system of a ship with uncertainty is discussed and investigated. ...
By solving the conditions, some feasible solutions can be obtained to establish the controller to guarantee robust stability of the delayed fin stabilizer stochastic system of a ship in the mean square ...
Acknowledgement This work was supported by the Ministry of Science and Technology, under Contract MOST 106-2221-E-019-006. ...
doaj:019c2e6be7e9415cb512e86cd8ca5d63
fatcat:zr2zutf345dvhpvnl7wpkdvwly
Stability of fuzzy control systems with bounded uncertain delays
2002
IEEE transactions on fuzzy systems
Conditions for global exponential stability of free fuzzy systems with uncertain delays are derived. ...
Stability of systems with uncertain delays is interesting since in practical applications it is not easy to know the delays exactly. ...
Results for global exponential stability of free fuzzy systems with uncertain delays will be given and proved in Section III. ...
doi:10.1109/91.983283
fatcat:2yra7knqn5gvdpinqenuxedusq
Finite Dimensional Controller Design for Stabilization of Uncertain Time-Delay Systems
1992
Transactions of the Society of Instrument and Control Engineers
Furuta: A Riccati Equation Approach to Stabilization of Uncertain Systems with Delayed State, Proceedings of SICE '90, 721/724 (1990) that
Define Z:=(Y-1-X)-1. ...
-
ed by linear differential-difference
equations
of the
with initial condition
and bounded continuous
time delays
Here we shall employ
the method
of Lyapunov
functionals7)
to identify
a ...
doi:10.9746/sicetr1965.28.326
fatcat:6pos5erk4zdkthu5gl64uhhkfq
An LMI Approach to Optimal Memoryless Regulator of Systems with Time-Delay in the States and Its Circle Condition
状態にむだ時間を含む系における最適メモリーレスレギュレータのLMIによる構成と円条件
2001
Transactions of the Society of Instrument and Control Engineers
状態にむだ時間を含む系における最適メモリーレスレギュレータのLMIによる構成と円条件
Thowsen: Memoryless Stabilization of
Linear Delay-Differential Systems, IEEE Transactions on
Automatic Control, AC-26-2, 586/587 (1981)
8) T. ...
Aldeen: Stabilization of Uncertain Dynamic
Delay Systems by Memoryless Feedback Controllers, In-
ternational Journal of Control, 59-6, 1525/1542 (1994)
14) H.H. Choi and M.J. ...
doi:10.9746/sicetr1965.37.133
fatcat:j6kgwvk7xnbvtacjg2bo7wmvki
New Developments in Time-Delay Systems and Its Applications in Engineering
2013
Mathematical Problems in Engineering
"Directly solving special second order delay differential equations using Runge-Kutta-Nyström method" by M. ...
"moment stability of stochastic differential delay systems with impulsive jump and Markovian switching" by L. Gao gives a novel P-moment stability criteria for stochastic differential delay systems. ...
Finally, the fundamental work of all reviewers on these papers is also very greatly acknowledged.
Guangdeng Zong Wei Xing Zheng Ligang Wu Yang Yi ...
doi:10.1155/2013/198245
fatcat:yuymolnumvefbjba772h5wmuru
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