Dynamics of dc bus networks and their stabilization by decentralized delayed feedback

Konishi, Keiji; Sugitani, Yoshiki; Hara, Naoyuki

doi:10.1103/physreve.91.012911

Cited by 20 publications

(25 citation statements)

References 33 publications

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“…More precisely, on the (N c ,Ê c ) and (N c ,η c ) planes for fixedη c andÊ c , respectively, the off-shell existence region for the double Lynden-Bell distribution, which we will call the double Lynden-Bell region, is restricted to a thin, spindle-shaped region. [34] The double Lynden-Bell region has the following two main structures.…”

Section: Double Lynden-bell Existence Regionmentioning

confidence: 99%

“…In this review we show, in contrast, that these QSSs are actually superpositions of new types of core and halo that are defined by two independent Lynden-Bell equilibria. [34] We call this equlibrium the double Lynden-Bell equilibrium. Based on preceding research by the author and others [32,33,34], we review this double Lynden-Bell scenario for QSSs with a core-halo structure arising from initial unsteady rectangular water-bag phase-space distributions with a common finegrained level.…”

Section: Introductionmentioning

confidence: 99%

“…[34] We call this equlibrium the double Lynden-Bell equilibrium. Based on preceding research by the author and others [32,33,34], we review this double Lynden-Bell scenario for QSSs with a core-halo structure arising from initial unsteady rectangular water-bag phase-space distributions with a common finegrained level. (Here, water-bag means that the phase-space distribution has a single non-zero fine-grained level f .…”

Section: Introductionmentioning

confidence: 99%

“…In Section 4, we study QSSs with a core-halo structure in the HMF model at low energies per particle. [34] After reviewing the preceding research, [5,32,33] first we follow the evolution of the system till its collisionless equilibrium to describe the formation process of the core-halo structure in the double Lynden-Bell scenario.…”

Section: Introductionmentioning

confidence: 99%

“…Here, as in previous work [34], we use ∼ to denote a series expansion up to a finite number of terms or approximate equality between independent variables (differing from the standard meaning of equality up to a multiplicative constant of O(1)) and use ≈ for other types of approximate equality.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Core-halo quasi-stationary states in the Hamiltonian mean-field model

Konishi

2016

Int. J. Mod. Phys. B

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A characteristic feature of long-range interacting systems is that they become trapped in a nonequilibrium and long-lived quasi-stationary state (QSS) during the early stages of their development. We present a comprehensive review of recent studies of the core-halo structure of QSSs, in the Hamiltonian mean-field model, which is a mean-field model of mutually coupled ferromagnetic XY spins located at a point, obtained by starting from various unsteady rectangular water-bag type initial phase-space distributions. The main result exposed in this review is that the core-halo structure can be described by the superposition of two independent Lynden-Bell distributions. We discuss the completeness of collisionless relaxation of this double Lynden-Bell distribution by using both of Lynden-Bell entropy and double Lynden-Bell entropy for the systems at low energies per particle.

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Section: Double Lynden-bell Existence Regionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Core-halo quasi-stationary states in the Hamiltonian mean-field model

Konishi

2016

Int. J. Mod. Phys. B

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Secure interval estimations for time‐varying delay interconnected systems using novel distributed functional observers

Huong¹

2022

Adaptive Control & Signal

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In this article, we consider the problem of designing distributed functional observers for time-varying delay interconnected systems under stealthy attacks. Distributed reduced-order observers are first designed to construct bounds for the attack signals. Then, the obtained bounds of the attack signals are utilized to design novel distributed functional observers, which provide interval estimations for linear functions of the state vectors of subsystems when the time-varying delay interconnected system is under stealthy attacks. Existence conditions of the distributed reduced-order observers as well as distributed functional state observers are established, and an effective algorithm for computing unknown observer matrices is provided. A numerical example is used to confirm the effectiveness and advantages of the obtained results.

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Design of distributed event‐triggered states and unknown disturbances observers for time‐varying delay interconnected systems

Cong Huong

2024

Adaptive Control & Signal

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SummaryThis article considers the problem of designing distributed event‐triggered states and unknown disturbances observers for a class of nonlinear interconnected systems where the local state vectors are affected by unknown delays and the nonlinear function satisfying the Lipschitz condition. Distributed observers are designed based on the local input vector and both the local and remote output vectors. Different from previously distributed observers for interconnected systems where the local and remote output vectors are updated continuously, the one in this article uses only information on the local and remote output vectors updating at triggering instants of proposed event‐triggered mechanisms. This indicates that the proposed method in this article is better than the existing ones in saving communication resources while still keeping an acceptable estimation performance. Sufficient conditions for the existence of the proposed distributed observers are established and are formed in a convex optimization problem which can be easily solved by using the MATLAB LMI Control Toolbox. Finally, a numerical example is given to confirm the effectiveness and advantages of the proposed method.

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Dynamics of dc bus networks and their stabilization by decentralized delayed feedback

Cited by 20 publications

References 33 publications

Core-halo quasi-stationary states in the Hamiltonian mean-field model

Core-halo quasi-stationary states in the Hamiltonian mean-field model

Secure interval estimations for time‐varying delay interconnected systems using novel distributed functional observers

Design of distributed event‐triggered states and unknown disturbances observers for time‐varying delay interconnected systems

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