Optimal control of single spin-1/2 quantum systems

postprin

Performance evaluation for inerter-based dynamic vibration absorbers

This paper is concerned with the H∞ and H2 optimization problem for inerter-based dynamic vibration absorbers (IDVAs). The proposed IDVAs are obtained by replacing the damper in the traditional dynamic vibration absorber (TDVA) with some inerter-based mechanical networks. It is demonstrated in this paper that adding one inerter alone to the TDVA provides no benefits for the H∞ performance and negligible improvement (less than 0.32% improvement over the TDVA when the mass ratio less than 1) for the H2 performance. This implies the necessity of introducing another degree of freedom (element) together with inerter to the TDVA. Therefore, four different IDVAs are proposed by adding an inerter together with a spring to the TDVA, and significant improvement for both the H∞ and H2 performances is obtained. Numerical simulations in dimensionless form show that more than 20% and 10% improvement can be obtained for the H∞ and H2 performances, respectively. Besides, for the H∞ performance, the effective frequency band can be further widened by using inerter.postprin

Fast consensus via predictive pinning control

By incorporating some predictive mechanism into a few pinning nodes, we show that convergence procedure to consensus can be substantially accelerated in networks of interconnected dynamic agents while physically maintaining the network topology. Such an acceleration stems from the compression mechanism of the eigenspectrum of the state matrix conferred by the predictive mechanism. This study provides a technical basis for the roles of some predictive mechanisms in widely-spread biological swarms, flocks, and consensus networks. From the engineering application point of view, inclusion of an efficient predictive mechanism allows for a significant increase in the convergence speed towards consensus. © 2011 IEEE.published_or_final_versio

Synthesis of biquadratic impedances with at most four passive elements

postprin

Bounded synchronization of a heterogeneous complex switched network

This paper investigates synchronization issues of a heterogeneous complex network with a general switching topology in the sense of boundedness, when no complete synchronization manifold exists. Several sufficient conditions are established with the Lyapunov method and the differential analysis of convergence to determine the existence and estimate the convergence domain for the local and global bounded synchronization of a heterogeneous complex network. By using the consensus convergence of a switched linear system associated with the switching topology, explicit bounds of the maximum deviation between nodes are obtained in the form of a scalar inequality involving the property of the consensus convergence, the homogeneous and heterogeneous dynamics of individual nodes for the local and global cases. These analytical results are simple yet generic, which can be used to explore synchronization issues of various complex networks. Finally, a numerical simulation illustrates their effectiveness.postprin

Influence of inerter on natural frequencies of vibration systems

postprin

Stability analysis of markovian jump systems with multiple delay components and polytopic uncertainties

This paper investigates the stability problem of Markovian jump systems with multiple delay components and polytopic uncertainties. A new Lyapunov-Krasovskii functional is used for the stability analysis of Markovian jump systems with or without polytopic uncertainties. Two numerical examples are provided to demonstrate the applicability of the proposed approach. © Springer Science+Business Media, LLC 2011.published_or_final_versio

Semiglobal observer-based leader- following consensus with input saturation

published_or_final_versio

Event-based synchronisation of linear discrete-time dynamical networks

postprin

Decentralized adaptive pinning control for cluster synchronization of complex dynamical networks

published_or_final_versio