摘要 :
Based on a recent work and the linear matrix inequality (LMI) optimization approach, we extend the recent work on global asymptotic stability of a class of neural networks to uncertain cellular neural networks with time-varying di...
展开
Based on a recent work and the linear matrix inequality (LMI) optimization approach, we extend the recent work on global asymptotic stability of a class of neural networks to uncertain cellular neural networks with time-varying discrete and distributed delays. (c) 2006 Elsevier Inc. All rights reserved.
收起
摘要 :
We provide explicit conditions for uniform stability, global asymptotic stability and uniform exponential stability for dynamic equations with a single delay and a nonnegative coefficient. Some examples on nonstandard time scales ...
展开
We provide explicit conditions for uniform stability, global asymptotic stability and uniform exponential stability for dynamic equations with a single delay and a nonnegative coefficient. Some examples on nonstandard time scales are also given to show applicability and sharpness of the new results.
收起
摘要 :
In this paper, we study the Lyapunov stability problem of a Chen chaotic system. Because of the positive elements of the main diagonal of a linearized Chen system, compared to the coefficient of a linearized Lorenz system which ar...
展开
In this paper, we study the Lyapunov stability problem of a Chen chaotic system. Because of the positive elements of the main diagonal of a linearized Chen system, compared to the coefficient of a linearized Lorenz system which are all negative, it is more difficult to deal with the stability analysis. Since it has the properties of invariance and symmetry, different Lyapunov functions in different regions are constructed to solve stability problems with geometric and algebraic methods. Then, simple algebraic necessary and sufficient conditions of global exponential stability, global asymptotic stability and global instability of equilibrium S0(0, 0, 0). are proposed. We obtain the relevant expression of corresponding parameters for local exponential stability, local asymptotic stability and local instability of equilibria S +/-(+/-root b(2c - a), +/-root b(2c - a, (2c - a)). Furthermore, the smallest conservative linear feedback controllers are used to globally exponentially stabilize equilibria.
收起
摘要 :
We present an approach for compensating input delay of arbitrary length in nonlinear control systems. This approach, which due to the infinite dimensionality of the actuator dynamics and due to the nonlinear character of the plant...
展开
We present an approach for compensating input delay of arbitrary length in nonlinear control systems. This approach, which due to the infinite dimensionality of the actuator dynamics and due to the nonlinear character of the plant results in a nonlinear feedback operator, is essentially a nonlinear version of the Smith predictor and its various predictor-based modifications for linear plants. Global stabilization in the presence of arbitrarily long delay is achieved for all nonlinear plants that are globally stabilizable in the absence of delay and that satisfy the property of forward completeness (which is satisfied by most mechanical systems, electromechanical systems, vehicles, and other physical systems). For strict-feedforward systems, one obtains the predictor-based feedback law explicitly. For the linearizable subclass of strict-feedforward systems, closed-loop solutions are also obtained explicitly. The feedback designs are illustrated through two detailed examples.
收起
摘要 :
This paper investigates the problem of output-feedback adaptive stabilization control design for non-holonomic chained systems with strong non-linear drifts, including modelled nonlinear dynamics, unmodelled dynamics, and those mo...
展开
This paper investigates the problem of output-feedback adaptive stabilization control design for non-holonomic chained systems with strong non-linear drifts, including modelled nonlinear dynamics, unmodelled dynamics, and those modelled but with unknown parameters. An observer and an estimator are introduced for state and parameter estimates, respectively. By using the integrator backstepping approach and based on the observer and parameter estimator, a constructive design procedure for output-feedback adaptive stabilization control is given. It is shown that, under some conditions, the control design ensures the closed-loop system is globally asymptotically stable when there is no non-linear drift in the first subsystem, and semiglobally asymptotically stable, otherwise. An example is given to show the effectiveness of the theory.
收起
摘要 :
In this work we obtain sufficient conditions for the exponential stability of equilibrium points of the nonautonomous difference equations by means of weak contraction arguments. (c) 2007 Elsevier Ltd. All rights reserved.
摘要 :
In this Letter, we discuss the global asymptotic stability and exponential stability of the equilibrium point of a class of generalized neural networks with delays. By introducing a new type of Lyapunov functionals and making use ...
展开
In this Letter, we discuss the global asymptotic stability and exponential stability of the equilibrium point of a class of generalized neural networks with delays. By introducing a new type of Lyapunov functionals and making use of matrix inequality technique, some sufficient conditions for existence and uniqueness of equilibrium and global exponential stability of the delayed Cohen-Grossberg neural networks are obtained. The conditions of the presented results are less restrictive than those of the earlier literature. (c) 2005 Elsevier B.V. All rights reserved.
收起
摘要 :
In this paper, we deal with the problem of stabilization of homogeneous bilinear systems. The aim is to clarify some results on stabilizability of these systems. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 10]
摘要 :
This brief studies the global asymptotic stability and the global exponential stability of neural networks with unbounded time-varying delays and with bounded and Lipschitz continuous activation functions. Several sufficient condi...
展开
This brief studies the global asymptotic stability and the global exponential stability of neural networks with unbounded time-varying delays and with bounded and Lipschitz continuous activation functions. Several sufficient conditions for the global exponential stability and global asymptotic stability of such neural networks are derived. The new results given in the brief extend the existing relevant stability results in the literature to cover more general neural networks.
收起
摘要 :
In this paper, we study the oscillating property of positive solutions and the global asymptotic stability of the unique equilibrium of the two rational difference equations
原文获取