This paper addresses closed-loop stability analysis of PID controlled local model networks. The proposed method allows to investigate exponential or asymptotic stability of the closed-loop system. For this purpose a common quadratic Lyapunov function is used as stability criterion. Due to the fact that the Lyapunov approach requires a state-space model a suitable closed-loop state-space system ...

In this paper we obtain the extension of results on input-to-output stability properties of switched systems to switched systems whose dynamics are described by perturbed forced differential equations and whose outputs are obtained via switched perturbed functions. We also present Lyapunov characterizations of these input-output stability properties, obtained in terms of certain conceptual outp...

In this paper, we revised an adaptive fuzzy sliding mode control algorithm applied to a two-degree-of-freedom robotic manipulator. Stability of the overall system for the revised algorithm is proven in a Lyapunov sense. A discussion on the proof of Lyapunov stability for different algorithms is presented.

This paper studies the problem of asymptotically stability for neural networks with time-varying delays.By establishing a suitable Lyapunov-Krasovskii function and several novel sufficient conditions are obtained to guarantee the asymptotically stability of illustrate the effectiveness of the proposed main results. Keywords—Neural networks, Lyapunov-Krasovskii, Time-varying

In this paper, we examine the problem of the stability analysis for linear delay-differential systems. Using Lyapunov method, we present sufficient conditions for the stability of the systems in terms of linear matrix inequality (LMI) Based on the Lyapunov– Krasovskii functional techniques which can be easily solved by using YALMIP Tool box. Numerical examples are given to illustrate our results.

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.

This paper presents an original practical criterion of global stability analysis of nonlinear polynomial systems. This criterion derived from the application of the Lyapunov direct method with a quadratic function generalizes the famous Lyapunov stability condition for linear systems. Useful mathematical transformations have allowed the formulation of the obtained conditions as an LMI (Linear M...

In this paper, we mainly study the Lyapunov asymptotical stability of linear and interval linear fractional order neutral systems with time delay. By applying the characteristic equations of these two systems, some simple sufficient Lyapunov asymptotical stability conditions are deserved, which are quite different from other ones in literature. In addition, some numerical examples are provided ...

This paper gives sufficient conditions for the practical and finite time stability of a particular class of linear discrete time delay systems. Analyzing the finite time stability concept, these new delay-independent conditions are derived using an approach based on the Lyapunov–like functions. The practical and attractive practical stability for discrete time delay systems has been investigate...