-Suppose noisy observations obtained on a process are assumed to have been generated by a linear regression model with coefficients which evolve only slowly over time, if at all. Do the estimatedâ€¦ (More)

Since its inception more than 200 years ago, analytical mechanics has been continually drawn to the determination of the equations of motion for constrained mechanical systems. Following theâ€¦ (More)

Since its inception about 200 years ago, Lagrangian mechanics has been based upon the Principle of Dâ€™Alembert. There are, however, many physical situations where this confining principle is notâ€¦ (More)

A simple proof of the Greville formula for the recursive computation of the Moore-Penrose (MP) inverse of a matrix is presented. The proof utilizes no more than the elementary properties of the MPâ€¦ (More)

In this paper we wish to initiate the study of the application of dynamic programming to the domain of problems arising in the synthesis of logical systems.
In a number of fields one encounters theâ€¦ (More)

Keywords--Genera l ized inverses, Recursive determination, Unified approach, Dynamic programming. 1. I N T R O D U C T I O N The recursive determination of a generalized inverse of a matr ix findsâ€¦ (More)

Standard homotopy continuation methods for solving systems of nonlinear equations require the continuation parameter to move from 0 to 1 along the real line. Diffkulties can occur, however, if aâ€¦ (More)

Consider an investigator who obtains noisy observations on a process and who wishes to learn about the actual sequence of states through which the process has passed. Suppose the investigatorâ€¦ (More)

This paper deals with mechanical systems subjected to a general class of non-ideal equality constraints. It provides the explicit equations of motion for such systems when subjected to such nonideal,â€¦ (More)