The paper considers the dynamic positioning problem for a ship having only two independent controls, namely surge force and yaw moment. A time-varying feedback control law including integral action is developed and proved to exponentially stabilize both the North and East positions and the orientation of the ship. Experimental results are presented where the controller is implemented on a model...

We consider the problem of achieving disturbance attenuation in the ISS and integral-ISS sense for nonlinear systems using bounded controls. For the ISS case we derive a universal formula which extends an earlier result of Lin and Sontag to systems with disturbances. For the integral-ISS case we give two constructions, one resulting in a smooth control law and the other in a switching control l...

In the present paper, we discuss a design method for controlling a weigh feeder that has been widely used in industry. Since a control system is designed using a performanceadaptive method, the control parameters are adaptively updated based on user-specified control performance. In conventional performance-adaptive methods, control systems are designed such that the variance of the control err...

An integral analogue of the general almost sure limit theorem is presented. In the theorem, instead of a sequence of random elements, a continuous time random process is involved, moreover, instead of the logarithmical average, the integral of delta-measures is considered. Then the general theorem is applied to obtain almost sure versions of limit theorems for semistable and max-semistable proc...

We show that if we consider the full statement of Faraday's law for a closed physical circuit, the standard Maxwell's equations in the presence of electric and magnetic charges have to include in their integral form a mixed term of the form ρ m v ⊥ e where ρ m is the magnetic charge density and v ⊥ e the perpendicular component of the velocity v e of the electric charge. Maxwell's electrodynami...

Mark A. Rothstein and Meghan K. Talbott DNA identification methods are such an established part of our law enforcement and criminal justice systems it is hard to believe that the technologies were developed as recently as the mid-1980s, and that the databases of law enforcement profiles were established in the 1990s. Although the first databases were limited to the DNA profiles of convicted rap...

The fuzzy integrals are a kind of fuzzy measures acting on fuzzy sets. They can be viewed as an average membershipvalue of fuzzy sets. The value of the fuzzy integral in a decision making environment where uncertainty is presenthas been well established. Most of the integral inequalities studied in the fuzzy integration context normally considerconditions such as monotonicity or comonotonicity....

We investigate the first law of thermodynamics in the case of the (2+1)-dimensional BTZ black holes and Kerr-de Sitter spacetimes, in particular, we focus on the integral mass formulas. It is found that by assuming the cosmological constant as a variable state parameter, both the differential and integral mass formulas of the first law of black hole thermodynamics in the asymptotic flat spaceti...

I consider the case of two interacting scalar fields, φ and ψ, and use the path integral formalism in order to treat the first classically and the second quantum-mechanically. I derive the Feynman rules and the resulting equation of motion for the classical field which should be an improvement of the usual semi-classical procedure. As an application, I use this method in order to enforce Gauss'...

I consider the case of two interacting scalar fields, φ and ψ, and use the path integral formalism in order to treat the first classically and the second quantum-mechanically. I derive the Feynman rules and the resulting equation of motion for the classical field which should be an improvement of the usual semi-classical procedure. As an application, I use this method in order to enforce Gauss'...