排序方式: 共有13条查询结果,搜索用时 42 毫秒
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In this paper, the stabilizability problem via a generalized delayed feedback control (GDFC) for uncontrollable discrete systems is addressed. For single-input uncontrollable systems, a necessary and sufficient condition of stabilizability via the GDFC is obtained, which completely describes the limitation of the GDFC. For multi-input systems, a new necessary condition is derived, which reveals the limitation of the GDFC more exactly than the odd number limitation. Moreover, for a class of nonlinear systems with uncertain parameters, a nonlinear robust GDFC is designed for the first time to stabilize the unknown fixed points associated with the uncertain parameters. 相似文献
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S. Fakhfakh 《Applied Mathematics and Optimization》1999,40(2):141-162
The purpose of this paper is to study under weak conditions of stabilizability and detectability, the asymptotic behavior
of the matrix Riccati equation which arises in stochastic control and filtering with random stationary coefficients. We prove
the existence of a stationary solution of this Riccati equation. This solution is attracting, in the sense that if P
t
is another solution, then onverges to 0 exponentially fast as t tends to +∞ , at a rate given by the smallest positive Lyapunov exponent of the associated Hamiltonian matrices.
Accepted 13 January 1998 相似文献
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In [38], Russell and Zhang showed that the Korteweg-de Vries equation posed on a periodic domain with an internal control is locally exactly controllable and locally exponentially stabilizable when the control acts on an arbitrary nonempty subdomain of . In this paper, we show that the system is in fact globally exactly controllable and globally exponentially stabilizable. The global exponential stabilizability is established with the aid of certain properties of propagation of compactness and regularity in Bourgain spaces for the solutions of the associated linear system. With Slemrod's feedback law, the resulting closed-loop system is shown to be locally exponentially stable with an arbitrarily large decay rate. A time-varying feedback law is further designed to ensure a global exponential stability with an arbitrarily large decay rate. 相似文献
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In this paper, the reachability realization of a switched linear discrete-time system, which is a collection of linear time-invariant discrete-time systems along with some maps for “switching” among them, is addressed. The main contribution of this paper is to prove that for a switched linear discrete-time system, there exists a basic switching sequence such that the reachable (controllable) state set of this basic switching sequence is equal to the reachable (controllable) state set of the system. Hence, the reachability (controllability) can be realized by using only one switching sequence. We also discuss the stabilizability of switched systems, and obtain a sufficient condition for stabilizability. Two numeric examples are given to illustrate the results. 相似文献
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This study addresses the stability and stabilizability problems for complex-valued memristive neural networks (CVMNNs) with actuator failures via reliable aperiodic event-triggered sampled-data control. Different from the traditional control methods with time-triggered mechanism, an aperiodic event-triggered sampled-data control scheme is first proposed for CVMNNs. Taking the influence of actuator failures into account, a reliable controller is designed. In comparison with the existing control approaches, the one here is not only more applicable but effective to save the communication resources for CVMNNs. Then, a new Lyapunov–Krasovskii functional (LKF) is introduced, which can fully capture the information of sampling and complex-valued activation functions. Based on the LKF and some new estimation techniques, novel stability and stabilizability criteria are established, and the desired reliable aperiodic event-triggered sampled-data controller gains are obtained simultaneously. Finally, numerical simulations are provided to verify the effectiveness of the obtained theoretical results. 相似文献
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Slim Fakhfakh 《随机分析与应用》2013,31(1):73-85
Linear filtering systems with stationary parameters are considered in continuous time. We generalize the conditionally Gaussian result of Lipster – Shiryaev and Haussmann – Pardoux. Moreover, we show that the Kalman – Bucy filter is exponentially stable under weak conditions of stabile ability and detect ability. This filter will have a well defined asymptotic behaviour 相似文献
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In this paper, the stabilization problem of switched control systems with time delay is investigated for both linear and nonlinear cases. First, a new global stabilizability concept with respect to state feedback and switching law is given. Then, based on multiple Lyapunov functions and delay inequalities, the state feedback controller and the switching law are devised to make sure that the resulting closed-loop switched control systems with time delay are globally asymptotically stable and exponentially stable. 相似文献
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In this paper, we study the stabilization problem for a class of linear nonautonomous systems with norm-bounded controls. Using the Lyapunov function technique, we establish simple verifiable stabilizability conditions without solving any Riccati differential equation. Numerical examples are given to illustrate the results.Communicated by F. E. UdwadiaThis work was supported by the National Basic Program in Natural Sciences, Vietnam and by a Thailand Research Fund Grant. The authors thank the anonymous referees for valuable comments and remarks which have improved the paper. 相似文献
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本研究了一类带有马尔可夫姚跃参数的双线性离散随机系统的稳定性,获得了该系统的稳定性和能稳定性的充分条件。 相似文献