This paper aims at proposing a new method to establish stability criteria for a class of genetic regulatory networks with time *** using the property of calculus and the Lagrange’s Mean–Value Theorem to reduce the o...
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This paper aims at proposing a new method to establish stability criteria for a class of genetic regulatory networks with time *** using the property of calculus and the Lagrange’s Mean–Value Theorem to reduce the order of system model,we get a reduced-order system with distributed delays and bounded uncertain parameters,which simplifies the problem under *** the help of Hospital’s rule and the definition of stability,the relationship between stability for the reduced-order model and the original one is *** on the Lyapunov stability theory,Cauchy–Schwarz inequality,linear matrix inequalities and convex combination technique,the robust asymptotic stability criterion of the reduced-order system are *** which,the asymptotic stability criterion for the original system is *** simulation results of a numerical example show the validity of the proposed approach.
This paper is concerned with the problem of H state feedback controller design for the type 1 diabetes switching model. Firstly, the glucose-insulin dynamic system is modeled as a switching system with input constrain...
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This paper is concerned with the problem of H state feedback controller design for the type 1 diabetes switching model. Firstly, the glucose-insulin dynamic system is modeled as a switching system with input constraints and external disturbances. Then, the existence condition of the H state feedback controller is given from the angle of linear matrix inequalities,which makes the resulting closed-loop system to be asymptotically stable and has pre-specified H performance and input constraints. In addition, the H state feedback controller gain can be easily obtained by solving the linear matrix inequalities via the MATLAB toolbox YALMIP. Finally, the proposed approach is applied to a practical example, which explains the validity of theory results.
In this paper,we focus on the problem of exponential stability analysis of linear discrete-time systems with two constant *** proper Lyapunov-Krasovskii functionals（LKFs） are *** employing WDOPs-based summation ineq...
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In this paper,we focus on the problem of exponential stability analysis of linear discrete-time systems with two constant *** proper Lyapunov-Krasovskii functionals（LKFs） are *** employing WDOPs-based summation inequalities,an exponential stability criterion is obtained,which is given in terms of linear matrix inequalities（LMIs）,and exponential estimates of all solutions of linear discrete-time systems with two constant delays are also *** example illustrates that the presented WDOPs-based summation inequality method can get the exponential stability criterion with larger decay rate than the existence.
This paper aims at proposing a new method to establish stability criteria for a class of genetic regulatory networks with time delays. By using the property of calculus and the Lagrange's Mean-Value Theorem to red...
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This paper aims at proposing a new method to establish stability criteria for a class of genetic regulatory networks with time delays. By using the property of calculus and the Lagrange's Mean-Value Theorem to reduce the order of system model, we get a reduced-order system with distributed delays and bounded uncertain parameters, which simplifies the problem under consideration. By the help of Hospital's rule and the definition of stability, the relationship between stability for the reduced-order model and the original one is obtained. Based on the Lyapunov stability theory, Cauchy-Schwarz inequality, linear matrix inequalities and convex combination technique, the robust asymptotic stability criterion of the reduced-order system are established. From which, the asymptotic stability criterion for the original system is derived. The simulation results of a numerical example show the validity of the proposed approach.
Consider the scattering of an acoustic plane wave by a bounded elastic obstacle which is immersed in an open space filled with a homogeneous medium. This paper concerns the mathematical analysis of the coupled two- an...
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