Article history: Received 16 January 2010 Received in revised form 21 December 2011 Accepted 7 February 2012 Available online 10 February 2012

Multivariate random fields whose distributions are invariant under operatorscalings in both time-domain and state space are studied. Such random fields are called operator-self-similar random fields and their scaling operators are characterized. Two classes of operator-self-similar stable random fields X = {X(t), t ∈ R} with values in R are constructed by utilizing homogeneous functions and sto...

In what follows, I discuss the semantic view of theories, specifically in the ‘state space’ formulation that has been developed by Bas van Fraassen, Frederick Suppe, and others and applied by Elisabeth Lloyd. I consider the claims that the state space view makes about how scientific theories are best understood. I then discuss a particular model from network theory, the alpha-model developed by...

Predictive control refers to the concept where the current control decision is based on a prediction of the system controlled response a number of times into the future. Originally derived from input-output models, recent years have seen efforts to interpret and develop predictive control from the state-space domain. This paper presents a formulation that unifies the two perspectives. Although ...

A model reference adaptive control formulation is presented that uses the dynamical structure of the state space descriptions of a large class of systems. Of particular interest, the formulations enable the imposition of exact kinematic differential equation constraints upon the adaptation process that compensates for model errors and disturbances at the acceleration level. The resulting closed...

In what follows, I discuss the semantic view of theories, specifically in the ‘state space’ formulation that has been developed by Bas van Fraassen, Frederick Suppe, and others and applied by Elisabeth Lloyd. I consider the claims that the state space view makes about how scientific theories are best understood. I then discuss a particular model from network theory, the α-model developed by Dun...

A stochastic state space model for the estimation f fiver temperature is presented, setting the stage for its implementation in optimal control algorithms. Physical processes modeled include advection, diffusion, and environmental heat exchange; the mathematical formulation isone dimensional. The deterministic formulation uses a hybrid characteristics-finite differences numerical scheme for the...

Nonlinear Knapsack Problems (NKP) are the alternative formulation for the multiple-choice knapsack problems. A powerful approach for solving NKP is dynamic programming which may obtain the global op-timal solution even in the case of discrete solution space for these problems. Despite the power of this solu-tion approach, it computationally performs very slowly when the solution space of the pr...