Exponential stability of stochastic delay interval systems with Markovian switching
By Xuerong Mao. IEEE Transactions on Automatic Control, 2002
525 citations recorded by the source corpus.
Subfields: Computer Networks and Communications, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/93c110ba9e785e000f155b463027e2b29fa98dc6
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In Computer Networks and Communications
In Control and Systems Engineering
Citations in the corpus
- Technical communique: Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control (2013, unknown): “In particular, [13,14] are two of most cited papers (Google citations 412 and 251,respectively) while [18] is the first book in this area (Google citation 424).”
- Razumikhin method and exponential stability of hybrid stochastic delay interval systems (2006, methodology): “Accordingly, Mao [14] proposed the hybrid stochastic delay interval system dx(t)= ([A(r(t))+∆A(r(t))]x(t)+ [B(r(t))+∆B(r(t))]x(t − δ(t)))dt + ([C(r(t))+∆C(r(t))]x(t) + [D(r(t))+∆D(r(t))]x(t − δ(t)))dw(t).”
- Observer-based adaptive sliding mode control for nonlinear Markovian jump systems (2016, methodology): “The mode switching (Mao, 2002) is dominated under a Markov process.”
- Exponential H∞ filter design for stochastic time‐varying delay systems with Markovian jumping parameters (2010, background): “Many fundamental results for deterministic systems have been extended to stochastic systems [24, 25].”
- Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings (2013, methodology): “The operator L is defined as follows [55]: Then, we can obtain from (4) and (6) From the definitions of e ij , x, L and taking expectations of η i ( t ) and ξ i ( t ) , the following equalities hold: Then, using the inequality (16) in Theorem 1, Assumptions 1 and 2, (19) and (20), we have where…”
- Decay rate constrained stabilization of positive systems using static output feedback (2011, methodology): “For the investigation of interval uncertain systems, we refer readers to a few typical References [25–27].”
- On robust stabilization of Markovian jump systems with uncertain switching probabilities (2005, unknown): “…1990), stability and stabilization (Ji & Chizeck, 1990; Feng, Loparo, Ji, & Chizeck, 1992; El Ghaoui & Rami, 1996; Boukas, Shi, & Benjelloun, 1999; Mao, 2002), H2 control (Costa, Val, & Geromel, 1999; do Val, Geromel, & Goncalves, 2002), H∞ control (de Farias, Geromel, do Val, & Costa, 2000),…”
- H∞ filtering for Markovian jump systems with time-varying delays (2010, background): “Then, the following inequality can be concluded E{LV (xt, i, t)} < −λmin(Ψ)E{ζ (t)ζ(t)} (24) Define a new function as W (xt, i, t) = e V (xt, i, t), Its infinitesimal operator L is given by W(xt, i, t) = εeV (xt, i, t) + eLV (xt, i, t) (25) By the generalized Itô formula [28], we can obtain from (25”
- Networked Synchronization Control of Coupled Dynamic Networks With Time-Varying Delay (2010, background): “The linear delay interval systems and the nonlinear systems with timevarying delays were considered in [28] and [29], respectively.”
- Global Synchronization for Discrete-Time Stochastic Complex Networks With Randomly Occurred Nonlinearities and Mixed Time Delays (2010, unknown): “Specifically, we are interested in deriving sufficient conditions for the addressed problem by employing the properties of Kronecker product [12], the free-weighting approach [7], [8], and the stochastic analysis techniques [10], [23], combined with the “delay fractioning” approach [24], [25], [38].”