Asymptotic and Robust Stabilization Control for the Whole Class of Fractional-Order Gene Regulation Networks with Time Delays
نویسندگان
چکیده
Throughout this article, a novel control strategy for fractional-order gene regulation networks (FOGRN) of all categories is designed by using the vector Lyapunov function in combination with M-matrix measure. Firstly, series puzzles surrounding asymptotic stability two-dimensional FOGRN are studied, and new formulated based on measure, ensuring that controlled has strong robust stability. In addition, corresponding criterion deduced. On basis, problem three-dimensional studied. Based method, stabilization also deduced, as well. Finally, method’s effectiveness generality authenticated via simulation experiments.
منابع مشابه
Robust stabilization of a class of three-dimensional uncertain fractional-order non-autonomous systems
This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertai...
متن کاملDelay-dependent robust stabilization and $H_{infty}$ control for uncertain stochastic T-S fuzzy systems with multiple time delays
In this paper, the problems of robust stabilization and$H_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the Takagi-Sugeno (T-S) fuzzymodel have been studied. By constructing a new Lyapunov-Krasovskiifunctional (LKF) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $H_{infty}$ control scheme are p...
متن کاملGlobal Asymptotic Stabilization for a Class of High-Order Nonholonomic Systems with Time-Varying Delays
This paper addresses the global asymptotic stabilization for a class of high-order nonholonomic systems with time-varying delays. By employing input-state-scaling, and adding a power integrator techniques, and by choosing an appropriate Lyapunov-Krasoviskii functional, a state feedback controller is constructed. Based on switching strategy to eliminate the phenomenon of uncontrollability, the p...
متن کاملGlobal Asymptotic and Exponential Stability of Tri-Cell Networks with Different Time Delays
In this paper, a bidirectional ring network with three cells and different time delays is presented. To propose this model which is a good extension of three-unit neural networks, coupled cell network theory and neural network theory are applied. In this model, every cell has self-connections without delay but different time delays are assumed in other connections. A suitable Lyapun...
متن کاملADAPTIVE FUZZY TRACKING CONTROL FOR A CLASS OF NONLINEAR SYSTEMS WITH UNKNOWN DISTRIBUTED TIME-VARYING DELAYS AND UNKNOWN CONTROL DIRECTIONS
In this paper, an adaptive fuzzy control scheme is proposed for a class of perturbed strict-feedback nonlinear systems with unknown discrete and distributed time-varying delays, and the proposed design method does not require a priori knowledge of the signs of the control gains.Based on the backstepping technique, the adaptive fuzzy controller is constructed. The main contributions of the paper...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2022
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract6080406