Totally dissipative systems

Dissipative Systems

We shall study a special class of systems called dissipative systems. Intuitively, we can think of systems interacting with the surrounding via some input / output ports, exchanging power with the surrounding, storing some energy and dissipating some. For example, electrical systems exchange power with the surrounding via an inner product between the current and voltage, i.e., Pe = v i. Energy ...

Dissipative Distributed Systems

Dissipative Dynamical Systems

On totally dual integral systems

Let A be a rational (m x n)-matrix and b be a rational m-vector. The linear system Ax< b is said to be totally dual integral (TDI) if for all integer n-vectors c, the linear program min{b’v: A’y= c; yr 0} has an integer-valued optimum solution if it has an optimum solution. The contents of this paper can be divided into three parts: First of all an attempt is made to characterize special classe...

Vortex Dynamics in Dissipative Systems

We derive the exact equation of motion for a vortex in twoand three-dimensional nonrelativistic systems governed by the Ginzburg-Landau equation with complex coefficients. The velocity is given in terms of local gradients of the magnitude and phase of the complex field and is exact also for arbitrarily small intervortex distances. The results for vortices in a superfluid or a superconductor are...