This brief presents a nonlinear observer that performs range estimation as well gyro-bias by using velocity, angular rate, and bearing angle measurements from landmarks at unknown locations. The is proved to have semiglobal asymptotic stability, its performance verified in simulations on experimental data. demonstrated an unmanned aerial vehicle (UAV) with sensor setup consisting of camera, ine...

Heterogeneous duopolies with product differentiation and isoelastic price functions are examined in which one firm is quantity setter and the other is price setter. The reaction functions and the CournotBertrand (CB) equilibrium are first determined. It is shown that the best response dynamics with continuous time scales and without time delays is always locally asymptotically stable. This stab...

In this paper, we consider the problem of trajectory tracking of a multirotor Unmanned Aerial Vehicle carrying a suspended payload. The movement of the suspended payload influences the dynamics of the multirotor, which must be appropriately handled by the controller to achieve satisfactory tracking results. We derive a mathematical model of the interconnected multi-body system using Kane’s equa...

The input-to-state stability of time-invariant systems described by coupled differential and difference equationswithmultiple noncommensurate and distributed time delays is investigated in this paper. Such equations include neutral functional differential equations in Hale’s form (which model, for instance, partial element equivalent circuits) and describe lossless propagation phenomena occurri...

It is known that many discrete time recurrent neural networks, such as e.g. neural state space models, multilayer Hoppeld networks and locally recurrent globally feedforward neural networks, can be represented as NL q systems. Suucient conditions for global asymptotic stability and input/output stability of NL q systems are available, including three types of criteria: diagonal scaling and crit...

In this article we use Lyapunov Second Theorem as well as LaSalle Theorem in order to determine the attraction region of an optical trap and to design an steering strategy to move a microscopic particle by means of optical tweezers. A variational approach based on Lagrangian formulation is used to obtain the equations of motion of a particle in the optical trap[1]. System is proved to be locall...

M. Garić-Demirović,1 M. R. S. Kulenović,2 and M. Nurkanović1 1 Department of Mathematics, University of Tuzla, 75000 Tuzla, Bosnia And Herzegovina 2 Department of Mathematics, University of Rhode Island, Kingston, RI 02881-0816, USA Correspondence should be addressed to M. R. S. Kulenović, [email protected] Received 29 August 2009; Accepted 27 October 2009 Recommended by Guang Zhang We invest...

We prove positive mass theorems for asymptotically hyperbolic and locally Riemannian manifolds with black-hole-type boundaries.

We consider patterns formed by active transport of auxin in a tissue, where the accumulation of transporters is activated by local fluxes of auxin. We characterize the steady states for which auxin is homogeneous in the tissue. Under a condition of regularity of the dependence of transporters to the flux, we can prove that one of these steady states, with zero flux everywhere, is always locally...