Stability analysis of heartbeat system with lyapunov’s direct method

Tulus, .; Siahaan, Lambok; Marpaung, T. J.; Syahputra, Muhammad Romi

doi:10.1088/1742-6596/1542/1/012054

Cited by 3 publications

(3 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If the viscosity is zero, then the thermal conductivity of the fluid is also zero and there will be no heat transfer (except by means of radiation). We assume that the motion of fluids is governed only by the forces of pressure and gravity and use Newton's second law as applied to a particle of fluid [8,9].…”

Section: Fluid Dynamics In Bernoulli Equationmentioning

confidence: 99%

Computational Analysis for Dam Stability Against Water Flow Pressure

Tulus

Marpaung

2023

J. Phys.: Conf. Ser.

Self Cite

View full text Add to dashboard Cite

Fatigue analysis of an object’s structure is very important because it can provide a numerical value that can be used as a reference before acting. The finite element method is a numerical method that can calculate the value of the fatigue and stability of a structure by calculating the reynold value and the pressure given. This study aims to conduct a structural fatigue analysis of the dam that focuses on the Reynold value in order to provide an analysis and representation of the dam structure. The result to be achieved is a mathematical model that analyzes the fatigue of the dam structure by connecting the elevation angle, water velocity, time, and the force obtained from the kinetic energy in the water flow.

show abstract

Section: Fluid Dynamics In Bernoulli Equationmentioning

confidence: 99%

Computational Analysis for Dam Stability Against Water Flow Pressure

Tulus

Marpaung

2023

J. Phys.: Conf. Ser.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Then the matching condition can be applied to the system (8), (9). The dynamic equation in subsystem (10) eases the elimination of 𝑝(𝑋)𝜉(𝑋, 𝑡)-term via a virtual control 𝑦. To this end, the design objective is to eliminate 𝜉(𝑋, 𝑡) by a control law (not to be discussed in this work).…”

Section: 𝑋 ̇= 𝑓(𝑋) + 𝑔(𝑋)𝑦 + ℎ(𝑋)𝜉(𝑋 𝑡)mentioning

confidence: 99%

“…Among the robust stabilization approaches, backstepping [5], [6] and variable structure system (VSS) [7]- [9] are known to be prevalent. Both techniques adopt the Lyapunov stability criteria [10]. VSS is a discontinuous nonlinear system.…”

Section: Introductionmentioning

confidence: 99%

Brief note on match and miss-match uncertainties

Kamarudin¹,

Rozali²,

Hairi³

et al. 2023

TELKOMNIKA

View full text Add to dashboard Cite

The appearance of uncertainties and disturbances often effects the characteristics of either linear or nonlinear systems. Plus, the stabilization process may be deteriorated thus incurring a catastrophic effect to the system performance. As such, this manuscript addresses the concept of matching condition for the systems that are suffering from miss-match uncertainties and exogeneous disturbances. The perturbation towards the system at hand is assumed to be known and unbounded. To reach this outcome, uncertainties and their classifications are reviewed thoroughly. The structural matching condition is proposed and tabulated in the proposition 1. Two types of mathematical expressions are presented to distinguish the system with matched uncertainty and the system with miss-matched uncertainty. Lastly, two-dimensional numerical expressions are provided to practice the proposed proposition. The outcome shows that matching condition has the ability to change the system to a design-friendly model for asymptotic stabilization.

show abstract