检索结果-南通市图书馆

检索条件"作者=Gaurav Raina"

共 11 条记录，以下是1-10 订阅

全选清除本页清除全部题录导出标记到"检索档案"

详细简洁

排序：

Stability and Hopf bifurcation analysis of the Mackey-Glass and Lasota equations

Stability and Hopf bifurcation analysis of the Mackey-Glass ...

引用

第26届中国控制与决策会议

作者： Sreelakshmi Manjunath gaurav raina Department of Electrical Engineering Indian Institute of Technology Madras

Time delays are an integral part of various physiological processes. In this paper, we analyse two models for physiological systems: the Mackey-Glass and Lasota equations. We first exhibit a sufficient condition to ensure local stability, and then outline the associated necessary and sufficient condition for stability. Using a non-dimensional bifurcation parameter, we then highlight that stability will be lost via a Hopf bifurcation. We also explicitly characterise the type of the Hopf bifurcation using Poincar′e normal forms and the center manifold theory. The theoretical analysis is complemented with some numerical examples, stability charts and bifurcation diagrams.

关键词： Physiological processes Mackey-Glass equation Lasota equation stability Hopf bifurcation

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Local Hopf bifurcation analysis of Compound TCP with an Exponential-RED queue management policy

Local Hopf bifurcation analysis of Compound TCP with an Expo...

引用

第26届中国控制与决策会议

作者： Sai Prasad gaurav raina India-UK Advanced Technology Centre of Excellence in Next Generation Networks Department of Electrical Engineering Indian Institute of Technology Madras

The analysis of TCP, along with queue management policies, forms an important aspect of performance evaluation for the Internet. In this paper, we analyse a non-linear fluid model for Compound TCP（C-TCP） coupled with an Exponential-RED（E-RED） queue management policy. Compound is an important flavor of TCP, as it is the default transport protocol in the Windows operating system. For the bifurcation analysis, we motivate an exogenous and non-dimensional bifurcation parameter. Using this parameter, we first derive the Hopf bifurcation condition for the underlying model. Then, employing Poincar′e normal forms and the center manifold theory, we outline the analysis to characterise the type of the Hopf bifurcation, and determine the stability of the bifurcating periodic solutions. Some numerical analysis and stability charts complement our theoretical analysis.

关键词： Compound TCP queue management Exponential-RED stability Hopf bifurcation.

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Some stability analysis of a non-linear time-delayed feedback circuit

Some stability analysis of a non-linear time-delayed feedbac...

引用

第24届中国控制与决策会议

作者： Shravan Mohan gaurav raina the Department of Electrical Engineering Indian Institute of Technology Madras the Faculty of the Department of Electrical Engineering Indian Institute of Technology Madras

A key focus of this paper is on understanding stability in a non-linear circuit design subject to delayed feedback. The system we consider is an autonomous first order RC circuit, coupled with a non-linear element, with a fixed feedback delay. With time delays, stability is a key concern. So for the non-linear circuit model we first establish a sufficient condition for local stability. We then establish necessary and sufficient conditions for local stability. Additionally we also exhibit that when local stability is just lost, a Hopf type bifurcation would occur. For the non-linear system, this bifurcation signifies the emergence of limit cycles which can degrade performance. Practically, it is useful to obtain an estimate of the amplitude and frequency of the bifurcating periodic solutions. Such estimates are calculated using the method of harmonic balance. In addition to the local stability analysis, we also establish some global stability results and some conditions to ensure that the solutions of the governing non-linear system are bounded. Some of the theoretical insights obtained are complemented with numerical simulations and also with experiments which are carried out using off-the-shelf components. The combination of theory, both local and global, simulations and experiments serve to enhance our understanding of the underlying model.

关键词： Non-linear Circuit Time-delayed Feedback Stability Hopf Bifurcation Experiments.

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Local Hopf bifurcation analysis of logistic population dynamics models with two delays

Local Hopf bifurcation analysis of logistic population dynam...

引用

第26届中国控制与决策会议

作者： Sreelakshmi Manjunath gaurav raina Department of Electrical Engineering Indian Institute of Technology Madras

ISBN: (纸本)9781479937097

Multiple time lags can occur very naturally in the study of population dynamics. In this paper, we study two forms of the delay logistic equation with two discrete time *** both the models, we identify the condition for the first local Hopf bifurcation. For our analysis, we employ a non-dimensional bifurcation parameter. Using Poincar′e normal forms and the center manifold theory, we also conduct the requisite analysis to determine the type of the Hopf bifurcation. This enables us to determine the asymptotic orbital stability of the bifurcating periodic solutions. The analysis is complemented with some numerical examples and bifurcation diagrams.

关键词： Population dynamics logistic growth two delays stability Hopf bifurcation.

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Stability and bifurcation analysis of a Lotka-Volterra time delayed system

Stability and bifurcation analysis of a Lotka-Volterra time ...

引用

第26届中国控制与决策会议

作者： Sreelakshmi Manjunath gaurav raina Department of Electrical Engineering Indian Institute of Technology Madras

ISBN: (纸本)9781479937097

Models that describe interactions between species are often used to study the dynamics of populations in an ecosystem. In this paper we focus on one such model, i.e. a time delayed version of the Lotka-Volterra dynamical system. In particular, we study the effects of time delays in,（i） the interspecies interactions and,（ii） the carrying capacity of the prey population, on the system *** these two cases, we first perform a local stability analysis, where we derive the necessary and sufficient condition for stability. It is shown that, as the time delay is varied, the system loses stability in the first case and exhibits a finite number of stability switches in the second case. We then explicitly show that the loss of stability, in the first case, happens through a Hopf bifurcation. Further, using Poincar′e normal forms and center manifold theorem, we analyse the type of the Hopf bifurcation. To complement our analysis, stability charts and bifurcation diagrams are also presented.

关键词： Lotka-Volterra system local stability stability switches Hopf bifurcation limit cycles.

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Stability and Hopf bifurcation analysis of TCP with a RED-like queue management policy

Stability and Hopf bifurcation analysis of TCP with a RED-li...

引用

第26届中国控制与决策会议

作者： Sai Prasad gaurav raina India-UK Advanced Technology Centre of Excellence in Next Generation Networks Department of Electrical Engineering Indian Institute of Technology Madras

We analyse a non-linear fluid model of TCP coupled with a Random Early Detection（RED）-like queue management policy. We first show that the conditions for local stability, as parameters vary, will be violated via a Hopf bifurcation. Thus, a stable equilibrium would give rise to limit cycles. To identify the type of the Hopf bifurcation, and to determine the stability of the bifurcating limit cycles, we apply the theory of normal forms and the center manifold analysis. Some numerical computations accompany our theoretical work.

关键词： TCP queue management congestion control stability Hopf bifurcation.

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Stability analysis of Compound TCP with Adaptive Virtual Queues

Stability analysis of Compound TCP with Adaptive Virtual Que...

引用

第25届中国控制与决策会议

作者： Anand Rao Amit Warrier gaurav raina India-UK Advanced Technology Centre of Excellence in Next Generation Networks Department of Electrical Engineering Indian Institute of Technology Madras

ISBN: (纸本)9781467355339

Compound TCP （C-TCP） is currently the default transport layer protocol in the Windows operating system. We study a non-linear fluid model of Compound along with Virtual Queue （VQ） management schemes in network routers. One can implement virtual queue policies either non-adaptively or adaptively. The Adaptive Virtual Queue （AVQ）, in particular, has the objective of driving the link utilisation to a desired level. The stability analysis of non-adaptive virtual queues reveals that smaller virtual buffer sizing rules help stability. Small virtual buffers would quite naturally reduce queueing delays in routers. Some guidelines for Compound and network parameters to ensure local stability are outlined. Analysis of the AVQ policy shows that the system is prone to losing local stability with large feedback delays, high link capacities, and with variations in the AVQ damping factor. We further show that the loss of local stability would occur via a Hopf bifurcation. Based on the analysis, our recommendation is that a virtual queue, with small buffer sizes, could be an attractive queue management scheme.

关键词： Compound TCP virtual queue management non-linear systems local stability Hopf bifurcation.

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Non-linear oscillations in TCP networks with Drop-Tail buffers

Non-linear oscillations in TCP networks with Drop-Tail buffe...

引用

第25届中国控制与决策会议

作者： Nizar Malangadan Haseen Rahman gaurav raina India-UK Advanced Technology Centre of Excellence in Next Generation Networks Department of Electrical Engineering Indian Institute of Technology Madras

ISBN: (纸本)9781467355339

Our focus is on a non-linear, time delayed, fluid model for Compound TCP （C-TCP） which is widely implemented in the current Internet. We couple this model with a Drop-Tail queue policy, currently deployed in routers, in two different limiting regimes: a small buffer and an intermediate buffer regime. We consider a topology where two distinct sets of long lived Compound flows, each regulated by separate edge routers, merge at a common core network router. For both the small and the intermediate router buffer regimes, we derive explicit analytical conditions under which synchronisation would occur between the two competing sets of TCP flows. The conditions are made explicit in terms of a coupling strength, which depends on Compound parameters and on network parameters like the feedback delay, link capacity and router buffer sizes. Variations in the coupling strength can lead to the emergence of deterministic, nonlinear, oscillations in the form of limit cycles in the queue size. Our analytical results are corroborated with packet-level simulations. With Drop-Tail, small buffers were found to be preferable over intermediate buffers;they can ensure both low latency and stable queues, at least in high speed networks.

关键词： Compound TCP Drop-Tail queues congestion control delayed feedback synchronisation.

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

A Kaldor-Kalecki model of business cycles:stability and limit cycles

A Kaldor-Kalecki model of business cycles:stability and limi...

引用

第26届中国控制与决策会议

作者： Sreelakshmi Manjunath Debayani Ghosh gaurav raina Department of Electrical Engineering Indian Institute of Technology Madras

Combining ideas proposed by Kaldor and Kalecki leads to a non-linear, time delayed, model for business cycle dynamics. In this paper, we analyse the stability and the local Hopf bifurcation properties of a Kaldor-Kalecki type model. In the analysis of such models, it is common to assume that the time delay continuously varies, and hence it is treated as a bifurcation parameter. However, this may not be a realistic assumption in various economic *** use an exogeneous, and non-dimensional, parameter as the bifurcation parameter to show that the underlying system undergoes a local Hopf bifurcation. Further, as this parameter gradually varies beyond the Hopf condition, we expect limit cycles to emerge from the stable equilibrium. We then, using Poincar′e normal forms and the center manifold theory, outline the analysis to verify the type of the Hopf bifurcation and determine the stability of the limit cycles. The theoretical analysis is illustrated with some numerical examples.

关键词： Kaldor-Kalecki models business cycles delay equations stability Hopf bifurcation limit cycles.

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Back-stepping Control Strategy for Stabilization of a Tilt-rotor UAV

Back-stepping Control Strategy for Stabilization of a Tilt-r...

引用

第24届中国控制与决策会议

作者： Arindam Bhanja Chowdhury Anil Kulhare gaurav raina the Department of Electrical Engineering Indian Institute of Technology Madras the faculty of the Department of Electrical Engineering Indian Institute of Technology Madras

In today’s world, the study and applications of Vertical Take-Off and Landing （VTOL） capable Unmanned Aerial Vehicles （UAVs） have increased vastly. A wide variety of UAVs are currently being employed in both civilian and military sectors. In this paper, our focus will be on the Tilt-rotor UAV. The Tilt-rotor has a rotor on each side of its airframe, tilted to provide both lift and forward thrust to the rotor-craft. We develop a model that aims to enable the Tilt-rotor UAV to hover in one specific position. Because of the under-actuated property of the Tilt-rotor, we design a back-stepping based proportional- derivative （PD） controller. The controller was able to achieve the desired objective of stabilization.

关键词： tilt-rotor Lagrangian back-stepping PD controller.

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

全选清除本页清除全部题录导出标记到“检索档案”

共2页 << < 1 2 > >> 跳转到页

回到顶部

执行限定条件

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：