Exponential stability analysis of nonlinear systems with bounded gain error

Hu, Xingkai; Nie, Linru

doi:10.1186/s13660-019-2250-0

Cited by 3 publications

(2 citation statements)

References 20 publications

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“…However, the estimate that we obtain about the ultimate bound of this system is explicit and also smaller than the ultimate bound given in [29]. The results obtained from the ultimate bound of this system are used in the discussion of globally exponential synchronization [30].…”

Section: Introductionmentioning

confidence: 70%

Competitive modes and estimation of ultimate bound sets for a chaotic dynamical financial system

2021

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We have investigated the role of competitive mode for the generation of chaotic behavior in a financial dynamical system. Such type of events are very important in the light of stock market crush or volatile behavior. The competitive mode is a good approach other than the fixed point analysis. The character of mode frequencies and the attractor is analyzed numerically . Also, using an analytical method and Lagrange optimization, we were able to calculate the ultimate bound of the chaotic financial system. The method we have presented is simpler and more accurate than other methods that implicitly calculate the final boundary. The estimation of the ultimate bound can be used to study chaos synchronization. Numerical simulations illustrate the analytical results.

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Section: Introductionmentioning

confidence: 70%

Competitive modes and estimation of ultimate bound sets for a chaotic dynamical financial system

2021

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“…There are many methods to make a nonlinear system stable, for instance, sliding mode control [1], fuzzy control [2], feedback control [3], adaptive control [4], alternate control [5,6], impulsive control [7,8], etc. Taking into account the engineering applications, the cost of continuous control is high.…”

Section: Introductionmentioning

confidence: 99%

Exponential stability of an alternate control system with double impulses

2022

J Inequal Appl

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In this paper, we propose a new system called an alternate control system with double impulses. The present system is a cyclic control system, composed of four parts in a circle: to the first and last halves of each period of the system we add different continuous controls, and at the half-period time and the end of each period of the system we add different impulses. We then investigate the exponential stability of the considered system. An example based on Chua’s circuit is provided to confirm the effectiveness of the theoretical result.

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Asymptotic stability of solutions for some classes of impulsive differential equations with distributed delay

Rubbioni

2021

Nonlinear Analysis: Real World Applications

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Exponential stability analysis of nonlinear systems with bounded gain error

Cited by 3 publications

References 20 publications

Competitive modes and estimation of ultimate bound sets for a chaotic dynamical financial system

Competitive modes and estimation of ultimate bound sets for a chaotic dynamical financial system

Exponential stability of an alternate control system with double impulses

Asymptotic stability of solutions for some classes of impulsive differential equations with distributed delay

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