Robust guaranteed cost control for a nonlinear neutral system with infinite delay

Davies, Iyai; Haas, Olivier C.L.

doi:10.1109/ecc.2015.7330712

Cited by 5 publications

(6 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The stability of a system implies that small disturbances in the system input (either in system parameters or initial conditions of the system) does not result in considerable changes in the system output. Several methods of analysis are available in studying the stability of such systems which includes the Lyapunov-based [10], fixed point based [11] and spectral radius [12] approaches see [13] and other references therein for details). The Lyapunov based approach which is the focus of stability application in this research is widely used in studying stability theories as well as other qualitative and quantitative properties of linear and nonlinear delay differential systems see [14,15] and references therein.…”

Section: Original Research Articlementioning

confidence: 99%

See 1 more Smart Citation

Stability and Feedback Control of Volterra Type Systems with Time Delay

Davies

Ebiwareme

Ekesiobi

et al. 2022

ARJOM

View full text Add to dashboard Cite

New results for stability and feedback control of time delay systems were proposed. These results were obtained by using Lyapunov Razumikhin method to approximate the stability of the uncontrolled Volterra type system with delay and designing a state feedback controller using a model transformation technique, the Lyapunov matrix equation and the Razumikhin approach for the stabilization of the controlled Volterra type system with delay. Examples are given to illustrate the effectiveness of the theoretical results.

show abstract

Section: Original Research Articlementioning

confidence: 99%

“…Here, we use the model transformation technique in [13] to analyze the stabilization of the system (2. We now ensure that the system (4.5) is asymptotically stable and the closed-loop system is stabilized.…”

Section: Feedback Stabilization Of the Systemmentioning

confidence: 99%

Stability and Feedback Control of Volterra Type Systems with Time Delay

Davies

Ebiwareme

Ekesiobi

et al. 2022

ARJOM

View full text Add to dashboard Cite

show abstract

“…The popular d'Alembert's solution is then used to reduce the problem into initial value problem for NFDSID. A new guaranteed control result is then obtained by the Razumikhin approach (see [17]), through a transformation technique and the Lyapunov matrix equation on the corresponding NFDSID and finding its range of application through a simulation output study of the model.…”

Section: Introductionmentioning

confidence: 99%

Guaranteed Control for Coupled Lossless Transmission Lines Terminated by a Nonlinear Lumped Circuits

Iyai,

Haas,

Amadi

et al. 2023

2023 28th International Conference on Automation and Computing (ICAC)

View full text Add to dashboard Cite

New stability result is obtained for a multiple interconnected lossless transmission line system which are each terminated by a lumped nonlinear circuit. The result was obtained by first deriving a neutral functional differential system with infinite delays (NFDSID) using the telegrapher's equation to reduce the governing equation of the voltage and current changes from the mutually interconnected lossless transmission line system. A delay-dependent stability results sufficient to make the NFDSID uniformly asymptotically stable is then developed by using the Lyapunov Razumikhin's method through a model transformation technique andLyapunov matrix equation.

show abstract

“…It is known in [1,2] that differential equation since its inception from the work on dynamics by Isaac Newton in the mid-17 th century have been known as a major branch of mathematics (pure and applied) which can be used as an instrument for harmonizing different constituents into a single system which might otherwise remain independent of each other in other to analyze the relationships that co-exists between them. Differential equations are vital field of every ongoing investigation with an interesting capability of reformulating basic real world problems and proffering solutions in the various fields.…”

Section: Introductionmentioning

confidence: 99%

Stability and controllability analysis of stochastic model for stock market prices

Iyai,

Uchenna,

Paul

et al. 2023

Int. J. Stat. Appl. Math.

View full text Add to dashboard Cite

In this paper, a stochastic vector differential equation model that could consider environmental effects in decision making of investors in stock exchange market has been developed, stability and controllability theorems on stock market forces were developed and analyzed. New novel results were obtained by utilizing properties of the transition (or fundamental) matrix solution (a function of the drift) and by placing some boundedness condition on the stochastic part of the model (a function of the volatility). Furthermore, asymptotic null controllability results were obtained by the non-singularity of the controllability matrix (a function of the drift) by defining some control measure on the stochastic vector equation. Examples are given using data from Nigeria stock exchange to illustrate the effectiveness of the model and simulation output results presented using MATLAB.

show abstract

Robust guaranteed cost control for a nonlinear neutral system with infinite delay

Cited by 5 publications

References 26 publications

Stability and Feedback Control of Volterra Type Systems with Time Delay

Stability and Feedback Control of Volterra Type Systems with Time Delay

Guaranteed Control for Coupled Lossless Transmission Lines Terminated by a Nonlinear Lumped Circuits

Stability and controllability analysis of stochastic model for stock market prices

Contact Info

Product

Resources

About