It is well known that a supercritical single-type Bienayme-Galton-Watson process can be viewed as a decomposable branching process formed by two subtypes of particles: those having infinite line of descent and those w...It is well known that a supercritical single-type Bienayme-Galton-Watson process can be viewed as a decomposable branching process formed by two subtypes of particles: those having infinite line of descent and those who have finite number of descendants. In this paper we analyze such a decomposition for the linear-fractional Bienayme-Galton-Watson processes with countably many types. We find explicit expressions for the main characteristics of the reproduction laws for so-called skeleton and doomed particles.展开更多
In this paper we derive analytically the optimal set of relays for the maximal destination signal-to-noise ratio (SNR) in a two-hop amplify-and-forward cooperative network with frequency-selective fading channels. Sim...In this paper we derive analytically the optimal set of relays for the maximal destination signal-to-noise ratio (SNR) in a two-hop amplify-and-forward cooperative network with frequency-selective fading channels. Simple rules are derived to determine the optimal relays from all available candidates. Our results show that a node either participates in relaying with full power or does not participate in relaying at all, and that a node is a valid relay if and only if its SNR is higher than the optimal destination SNR. In addition, we develop a simple distributed algorithm for each node to determine whether participating in relaying by comparing its own SNR with the broadcasted destination SNR. This algorithm has extremely low overhead, and is shown to converge to the optimal solution fast and exactly within a finite number of iterations. The extremely high efficiency makes it especially suitable to time-varying mobile networks.展开更多
This paper investigates the problem of delaydependent robust H_(∞) state-feedback control for a class of uncertain discrete-time state-delayed T-S fuzzy systems.The state delay is assumed to be time-varying and of an...This paper investigates the problem of delaydependent robust H_(∞) state-feedback control for a class of uncertain discrete-time state-delayed T-S fuzzy systems.The state delay is assumed to be time-varying and of an interval-like type with the lower and upper bounds.The parameter uncertainties are assumed to have a structured linear-fractional form.Based on a novel fuzzy-basisdependent Lyapunov-Krasovskii functional incorporating a free-weighting matrix approach,some new delaydependent sufficient conditions for robust H_(∞) performance analysis and controller synthesis are derived in terms of linear matrix inequalities(LMIs).Numerical examples are also provided to illustrate the effectiveness of the proposed approaches.展开更多
文摘It is well known that a supercritical single-type Bienayme-Galton-Watson process can be viewed as a decomposable branching process formed by two subtypes of particles: those having infinite line of descent and those who have finite number of descendants. In this paper we analyze such a decomposition for the linear-fractional Bienayme-Galton-Watson processes with countably many types. We find explicit expressions for the main characteristics of the reproduction laws for so-called skeleton and doomed particles.
文摘In this paper we derive analytically the optimal set of relays for the maximal destination signal-to-noise ratio (SNR) in a two-hop amplify-and-forward cooperative network with frequency-selective fading channels. Simple rules are derived to determine the optimal relays from all available candidates. Our results show that a node either participates in relaying with full power or does not participate in relaying at all, and that a node is a valid relay if and only if its SNR is higher than the optimal destination SNR. In addition, we develop a simple distributed algorithm for each node to determine whether participating in relaying by comparing its own SNR with the broadcasted destination SNR. This algorithm has extremely low overhead, and is shown to converge to the optimal solution fast and exactly within a finite number of iterations. The extremely high efficiency makes it especially suitable to time-varying mobile networks.
基金supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region of China under Project CityU/112907.
文摘This paper investigates the problem of delaydependent robust H_(∞) state-feedback control for a class of uncertain discrete-time state-delayed T-S fuzzy systems.The state delay is assumed to be time-varying and of an interval-like type with the lower and upper bounds.The parameter uncertainties are assumed to have a structured linear-fractional form.Based on a novel fuzzy-basisdependent Lyapunov-Krasovskii functional incorporating a free-weighting matrix approach,some new delaydependent sufficient conditions for robust H_(∞) performance analysis and controller synthesis are derived in terms of linear matrix inequalities(LMIs).Numerical examples are also provided to illustrate the effectiveness of the proposed approaches.
