We consider a non-cooperative game in infinite time horizon, with linear dynamics and exponentially discounted quadratic costs. Assuming that the state space is onedimensional, we prove that the Nash equilibrium solution in feedback form is stable under nonlinear perturbations. The analysis shows that, in a generic setting, the linear-quadratic game can have either one or infinitely many feedba...

abstract the extent to which teachers’ written corrective feedback (wcf) is conducive to esl learners’ improvement has been discussed since truscott’s claim in 1996. the mentioned debate continues because there has been lots of contrastive research studies with different results. this paper presents the results of a 2-month study of the effectiveness of wcf to 65 low intermediate iranian learne...

In this paper, stability and Hopf bifurcation analysis of a novel hyperchaotic system are investigated. Four feedback control strategies, the linear feedback control method, enhancing feedback control method, speed feedback control method and delayed feedback control method, are used to control the hyperchaotic attractor to unstable equilibrium. Moreover numerical simulations are given to verif...

-The attitude stabilization problem of a rigid spacecraft using control torques supplied by gas jet actuators about only two of its principal axes is considered. If the uncontrolled principal axis of the spacecraft is not an axis of symmetry, then the complete spacecraft dynamics are small time locally controllable. However, the spacecraft cannot be asymptotically stabilized to any equilibrium ...

We quantify the temperature-dependence of clear-sky climate sensitivity in a one-dimensional radiative-convective equilibrium model. The atmosphere is adjusted to fixed surface temperatures between 280 and 330 K while preserving other boundary conditions particular relative humidity CO2 concentration. show that an out-of-bounds usage radiation scheme rapid radiative transfer model for GCMs (RRT...

Equilibrium climate sensitivity-the equilibrium warming per CO2 doubling-increases with concentration for 13 of 14 coupled general circulation models 0.5–8 times the preindustrial concentration. In particular, abrupt 4 × is more than twice 2 warming. We identify three potential causes: nonlogarithmic forcing, feedback dependence, and temperature dependence. Feedback dependence explains at least...

The stabilization of the Cournot equilibrium point of a duopoly by feedback control is analyzed. We give a general result which is valid for any duopoly controlled by linear feedback and study in detail the stabilization of a duopoly when the feedback is not linear.

Stabilizing controllers are developed for a 3D pendulum assuming that the pendulum has a single axis of symmetry and that the center of mass lies on the axis of symmetry. This assumption allows development of a reducedmodel that forms the basis for controller design and global closed-loop analysis; this reduced model is parameterized by the constant angular velocity component of the 3D pendulum...

A coarse resolution coupled ocean-atmosphere simulation where surface albedo feedback is artificially suppressed by prescribing surface albedo is compared to one where snow and sea ice anomalies are allowed to affect surface albedo, as the model was originally designed. Canonical CO -doubling experiments were performed with both models to assess the impact of surface albedo feedback on equilibr...