Robust stability of uncertain stochastic differential delay equations

Mao, Xuerong; Королева, Н Ю; Rodkina, Alexandra

doi:10.1016/s0167-6911(98)00080-2

Cited by 258 publications

(123 citation statements)

References 9 publications

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“…It has been pointed out in [32,[34][35][36][37] that the controller of Equation (9) can provide more convenient spatial performance. The signal , ( , ) i x x t e in the controller of Equation (9) can be obtained via the finite difference method.…”

Section: T X T L X T X T T X T X T X T Lmentioning

confidence: 99%

“…By using the technique exploited in [36], the inequality of Equation (17) tells us that the closed-loop PDDE system of Equation (1) is exponentially stable if LMI of Equation (11) is fulfilled. From Definition 1, the closed-loop synchronization error system of Equation (6) is exponentially stable, i.e., the PDDE Equation (1) achieves projective exponential synchronization with the isolated node of Equation (2).…”

Section: Theorem 1 Consider the Complex Pdde Network Of Equation (1)mentioning

confidence: 99%

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Projective Exponential Synchronization for a Class of Complex PDDE Networks with Multiple Time Delays

Yang

Qiu

et al. 2015

Entropy

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This paper addresses the problem of projective exponential synchronization for a class of complex spatiotemporal networks with multiple time delays satisfying the homogeneous Neumann boundary conditions, where the network is modeled by coupled partial differential-difference equations (PDDEs). A distributed proportional-spatial derivative (P-sD) controller is designed by employing Lyapunov's direct method and Kronecker product. The controller ensures the projective exponential synchronization of the PDDE network. The main result of this paper is presented in terms of standard linear matrix inequality (LMI). A numerical example is provided to show the effectiveness of the proposed design method.

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Section: T X T L X T X T T X T X T X T Lmentioning

confidence: 99%

Section: Theorem 1 Consider the Complex Pdde Network Of Equation (1)mentioning

confidence: 99%

Projective Exponential Synchronization for a Class of Complex PDDE Networks with Multiple Time Delays

Yang

Qiu

et al. 2015

Entropy

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show abstract

“…Therefore, much interest has been focused on the delay-dependent stability analysis of delay systems (see, e.g. Haussman 1978;Ichikawa 1982;Verriest and Florchinger 1995;Li and De Souza 1997;Mao, Koroleva, and Rodkina 1998;Moon, Park, Kwon, and Lee 2001;Yue and Won 2001;Lu and Tsai 2003;He, Wu, She, and Liu 2004;Chen, Guan, and Lu 2005;Liu and Zhang 2005;Lu, Su, and Tsai 2005). However, most of these results have focused on the deterministic systems with delays (see, e.g.…”

Section: Introductionmentioning

confidence: 99%

Robust exponential stability criteria of uncertain stochastic systems with time-varying delays

Guan

Luo

2011

International Journal of Systems Science

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“…The general characteristics of a Kalman filter such as mostlikelihood and convergence have been discussed in several papers [13][14][15][16]. On the contrary, we derive a suitable space-variable model in the present paper which we call a spatial state equation using array element locations and incident angles.…”

Section: Introductionmentioning

confidence: 99%

Direction of Arrival Estimation Method Using a 2-L Shape Arrays Antenna

Harabi¹,

Changuel²,

Gharsallah³

2007

PIER

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Abstract-The paper presents a new algorithm for a 2-dimensionnal direction of arrival estimation. Based on the extended Kalman filter (EKF), we analyse a recursive procedure for 2-dimensional directions of arrival (DOA) estimation and we will employ the two-L-shape arrays. A new space-variable model which we call a spatial state equation is presented using array element locations and incident angles. In this paper we briefly recapitulate the most important features of the extended Kalman filter (EKF). The performance of the proposed approach is examined by a simulation study with three signals model. The simulation results show a good estimate performance.

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Robust stability of uncertain stochastic differential delay equations

Cited by 258 publications

References 9 publications

Projective Exponential Synchronization for a Class of Complex PDDE Networks with Multiple Time Delays

Projective Exponential Synchronization for a Class of Complex PDDE Networks with Multiple Time Delays

Robust exponential stability criteria of uncertain stochastic systems with time-varying delays

Direction of Arrival Estimation Method Using a 2-L Shape Arrays Antenna

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