Global Stability Results for Traffic Networks

نویسندگان

  • Iasson Karafyllis
  • Markos Papageorgiou
چکیده

This paper provides sufficient conditions for global asymptotic stability and global exponential stability, which can be applied to nonlinear, large-scale, uncertain discrete-time systems. The conditions are derived by means of vector Lyapunov functions. The obtained results are applied to traffic networks for the derivation of sufficient conditions of global exponential stability of the uncongested equilibrium point of the network. Specific results and algorithms are provided for freeway models. Various examples illustrate the applicability of the obtained results.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Third-order Decentralized Safe Consensus Protocol for Inter-connected Heterogeneous Vehicular Platoons

In this paper, the stability analysis and control design of heterogeneous traffic flow is considered. It is assumed that the traffic flow consists of infinite number of cooperative non-identical vehicular platoons. Two different networks are investigated in stability analysis of heterogeneous traffic flow: 1) inter-platoon network which deals with the communication topology of lead vehicles and...

متن کامل

Modified particle swarm optimization algorithm to solve location problems on urban transportation networks (Case study: Locating traffic police kiosks)

Nowadays, traffic congestion is a big problem in metropolises all around the world. Traffic problems rise with the rise of population and slow growth of urban transportation systems. Car accidents or population concentration in particular places due to urban events can cause traffic congestions. Such traffic problems require the direct involvement of the traffic police, and it is urgent for the...

متن کامل

Global Asymptotic and Exponential Stability of Tri-Cell Networks with Different Time Delays

In this paper‎, ‎a bidirectional ring network with three cells and different time delays is presented‎. ‎To propose this model which is a good extension of three-unit neural networks‎, ‎coupled cell network theory and neural network theory are applied‎. ‎In this model‎, ‎every cell has self-connections without delay but different time delays are assumed in other connections‎. ‎A suitable Lyapun...

متن کامل

Robust stability of stochastic fuzzy impulsive recurrent neural networks with\ time-varying delays

In this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the Takagi-Sugeno (T-S) fuzzy models is considered. A novel Linear Matrix Inequality (LMI)-based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...

متن کامل

Stability of traffic flow networks with a polytree topology

We consider global stability of a flow network model for vehicular traffic. Standard approaches which rely on monotonicity of flow networks for stability analysis do not immediately apply to traffic networks with diverging junctions. In this paper, we show that the network model nonetheless exhibits a mixed monotonicity property. Mixed monotonicity allows us to prove global asymptotic stability...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/1401.0496  شماره 

صفحات  -

تاریخ انتشار 2014