The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
This paper considers the problem of finding a common linear copositive Lyapunov function for a set of second order systems. Based on mathematical programming, we give a new proof of the result in (O. Mason, 2004). Then we extend this result to a finite number of systems, and a common linear copositive Lyapunov function is obtained.
This paper is concerned with the problem of global exponential stability and existence of periodic solutions of fuzzy cellular neural networks (FCNNs). Employing young inequality and constructing suitable Lyapunov functional, some sufficient conditions are derived to check global exponential stability and existence of periodic solutions of FCNNs with delays. The results obtained extend previously...
This paper is concerned with the problem of stabilization of the Roesser type discrete-time nonlinear 2-D system which plays an important role in many practical applications. Firstly, a discrete-time 2-D T-S fuzzy model is proposed to represent the underlying nonlinear 2-D system. Secondly, new non-quadratic stabilization conditions are proposed by applying a new parameter-dependent Lyapunov function,...
This paper deals with decentralized stabilization of nonlinear systems composed of interconnected Takagi-Sugeno fuzzy descriptors. To ensure the stability of the overall closed-loop system, a set of decentralized Parallel Distributed Compensations (PDC) controllers is employed. The stability conditions are then derived into Linear Matrix Inequalities (LMI) using a fuzzy Lyapunov function for less...
This paper presents new stability conditions for Takagi-Sugeno (T-S) descriptors. Thanks to the descriptor redundancy, LMI based controller design of less conservatism are derived. These conditions are obtained using a fuzzy non quadratic lyapunov function (NQLF) approach with a non-parallel-distributed-compensation (non-PDC) control law. First, stabilization without constraints is considered for...
This paper addresses the problem of robust tracking control for nonlinear systems with external disturbances. The nonlinear system is represented by the discrete-time Takagi-Sugeno (T-S) fuzzy model. The control scheme is based on Hinfin performance to attenuate the tracking error as small as possible for the external disturbances. The stability of the whole closed-loop model is investigated using...
Compared with input-to-state (ISS) stability in global version, the concept of locally input-to-state (LISS) stability is more relevant and meaningful in practice. However, the local property raises difficulties in estimating the local region, which is seldom seen in literature. It is the aim of this paper is to investigate local regions of initial states and external inputs for the given system....
In this paper, a new evolutionary algorithm based optimal design approach for spacecraft attitude stabilization is presented. The plant (spacecraft attitude model) is modeled by a second order non-linear multi-input multi-output system. Euler's equation of rotational dynamics and modified Rodrigues parameter (MRP) jointly defines the plant. The control law is synthesized in an output feedback structure...
The paper is concerned with the L2-stability analysis of linear feedback systems described by integral equations and with a time-varying (more specifically, periodic switching) feedback gain. In contrast to Lyapunov approaches widely used in the literature of switched systems, a non-Lyapunov framework is employed in this paper. The results obtained are in the frequency domain, which can be (i) applied...
This work presents the adaptive synchronization between two different order chaotic systems with unknown parameters. Based on Lyapunov stability theory, a novel adaptive control law and a parameter update rule for unknown parameters are proposed. The proposed scheme can successfully synchronize some typical chaotic systems, such as the hyperchaotic Chen system and the Duffing equation. Numerical Simulation...
This paper deals with the problem of fault detection (FD) for a class of singular stochastic systems. The correlative FD problem is transformed into the nonlinear dynamic weight system based on probability density function (PDF) modeled by square root B-spline expansions technique. Nonlinear observer is designed to estimate the state. Synchronously, an interrelated Lyapunov function is presented to...
The traditional model reference adaptive system (MRAS) is of parallel configuration. By representing the reference model as an equivalent closed-loop subsystem, these two subsystems can share a controller virtually. An embedded structure of MRAS is thereby presented. In this paper, two approaches are developed for designing the adaptive laws. The adaptive law based on Lyapunov stability theory is...
This paper deals with the problem of determination of region of stability for a class of nonlinear systems with delayed state functions and subjected to actuator saturation. A backstepping based controller strategy, along with some additional dynamics to deal with actuator saturation in anti-windup paradigm, is proposed. The stability of closed loop system and ultimate upper boundedness all closed...
An adaptive backstepping neural controller design is presented for a class of nonaffine nonlinear system with mismatched uncertainties. By applying backstepping design strategy and online approaching uncertainties with fully tuned radial basis function (RBF) neural networks (NNs), the adaptive tuning rules are derived from the Lyapunov stability theory. A nonlinear tracking differentiator is introduced...
This paper studies the robust stability problem for a class of Markovian jumping stochastic neural networks (MJSNNs) with interval time-varying delay. Based on Lyapunov-Krasovskii functional and stochastic analysis approach, a new delay-dependent sufficient condition is obtained in the linear matrix inequalities (LMIs) format such that for all admissible uncertainties delayed MJSNNs is globally asymptotically...
This paper proposes an adaptive fast terminal sliding mode control for a class of multiple input nonlinear systems with time-varying mismatched uncertainties via LMI approach. First, a novel fast terminal sliding surface design method for a class of nonlinear systems is proposed based on Lyapunov method. The sufficient conditions are provided for the uncertain system on the sliding surface, such that...
In this study, an idea to the self-tuning sliding mode controller design is proposed. The proposed controller not only reduces the chatting phenomenon, but also needs less the system bounds than traditional sliding mode controllers do. The proposed self-tuning sliding mode controller can be viewed as an improved hitting controller. Besides, in order to resolve the parameter selection problem, the...
We consider an important class of digital control systems whose plants are endowed with delays, and we show that such systems may be described by discontinuous functional differential equations. Next, we establish Lyapunov stability results for this class of systems. To accomplish this, we make use of some of our earlier work concerning the stability of discontinuous dynamical systems determined by...
We show that if the hypotheses for the classical Lyapunov stability results for continuous dynamical systems (Zubov, 1964; Hahn, 1967) (continuous-time dynamical systems whose motions are continuous with respect to time) are satisfied, then the hypotheses of the corresponding stability results for discontinuous dynamical systems (continuous-time dynamical systems whose motions are not necessarily...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.