This paper proposes new criteria for stability and performance of nonlinear interconnected systems by smoothly generalizing a recently-developed method of the state-dependent scaling. The criteria are directly related to Lyapunov functions so that they show how to construct Lyapunov functions which establish desired stability and performance explicitly. A set of popular Lyapunov stability crite...

In this paper we introduce some stability criteria for impulsive fuzzy system of differential equations with finite delay in states. Firstly, a new comparison principle for fuzzy differential system compared to crisp ordinary differential equation, based on a notion of upper quasi-monotone nondecreasing, in N dimentional state space is presented. Furthermore, in order to analyze the stability o...

This study is concerned with the asymptotic behavior of systems in which random sampling occurs; they are studied by a stochastic Lyapunov function method. The control loops under consideration consist of a random sampler (a sampling device which closes at a set of statistically described times in lieu of periodic intervals), a zero order hold, a linear plant, and a feedback element. Sampled sy...

mathematical models can simulate the growth and proliferation of cells in the interaction with healthy cells, the immune system and measure the toxicity of drug and its effects on healthy tissue pay. one of the main goals of modeling the structure and growth of cancer cells is to find a control model suitable for administration among patients. in this study, a new mathematical model is designed...

the paper is concerned with robust stability criteria for takagi- sugeno (t-s) fuzzy systems with distributed delays and time delay in the leakage term. by exploiting a model transformation, the system is converted to one of the neutral delay system. global robust stability result is proposed by a new lyapunov-krasovskii functional which takes into account the range of delay and by making use o...

In this study, delay-dependent robust stability problem is investigated for uncertain neutral systems with discrete and distributed delays. By constructing an augmented Lyapunov-Krasovskii functional involving triple integral terms and taking into account the relationships between the different delays, new less conservative stability and robust stability criteria are established first using the...

Abstract. In this paper we study the absolute stability of Lurie control systems with multiple time-delays and nonlinearities, based on the Lyapunov stability theory via the approach of decomposing matrices, by using extended Lyapunov functional, we avoid the use of the stability assumption on the main operator and derive to improve stability criteria, which are strictly less conservative than ...

In this paper we transfer classical results concerning Lyapunov stability of stationary solutions x to the classes of DAEs being most interesting for circuit simulation, thereby keeping smoothness as low as possible. We formulate all criteria in terms of the original equation. Those simple matrix criteria for checking regularity, Lyapunov stability etc. are easily realized numerically.