Peter kunkel
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In particular, we study regularization by state or output feedback. Kunkel served in the Leveraged Finance and Corporate Finance groups serving the health care and telecommunications industries, among others. This leads to a new proof of an existence and uniqueness theorem as well as to an adequate numerical algorithm for the solution of linear differential-algebraic equations. We discuss the solvability of such equations under different conditions. In this paper a new index reduction technique is discussed for the treatment of differential-algebraic systems for which extra structural information is available. We show that under some mild assumptions every such system consists of an underlying square subsystem that behaves essentially like a standard state space system, plus some solution components that are constrained to be zero. Examples demonstrate their applicability and performance.

A memorial service will be held at the Mt. For a general class of nonlinear possibly higher index differential-algebraic equations we show existence and uniqueness of solutions. Instead, we use the splitting into differential and algebraic equations which arises naturally by index reduction techniques and apply Gauß-type for the differential part and Lobatto-type for the algebraic part collocation schemes to obtain a symmetric method which guarantees consistent approximations at the mesh points. The package includes a computation of all the local invariants of the system, a regularization procedure and an index reduction scheme and it can be combined with every solution method for standard index 1 systems. We show that these schemes converge with the same orders as one would expect for ordinary differential equations. Furthermore we partially extend the results for canonical forms of Hermitian pencils and give new canonicalforms there, too.

Born in Altstadten, Germany, Peter narrowly escaped Nazi Germany at age 17, eventually arriving in New York by himself in 1938. We use a nonlinear index three control problem to illustrate many of our observations. The first source provides a method based on a transformation technique which aims to transform the infinite horizon problem into an equivalent finite horizon problem by means of time transformation applied to the objective and to the dynamics and afterwards to solve two-point boundary value problems. We study optimal control problems for general linear descriptor systems with variable coefficients. For this, we have to compute time-dependent projection matrices in order to split the dynamics of the underactuated system into constrained and unconstrained parts. In this paper we go over many of these options and discuss what is usually necessary for them to be successful. This paper will focus on the theory and algorithms for unstructured tracking problems.

Marco Peter Kunkel Director General on Foreign Payments Matters. For this a numerical algorithm is given and its properties are demonstrated by a numerical example. Kunkel became the Acting Assistant Secretary of the Army Financial Management and Comptroller July 24. Local structure preserving condensed forms under constant rank assumptions are developed that allow to study the existence and uniqueness of solutions. These results are then applied in the numerical solution of differential algebraic Riccati equations. This includes a generalization of Filippov regularization in the case of so-called chattering. He was a devoted physician who touched the lives of many.

We give a general local existence and uniqueness theory and apply the results to nonlinear control problems. Furthermore, an analysis of general rectangular systems is given and generalized Euler-Lagrange equations and Riccati differential algebraic equations are discussed. A variety of challenging test problems can be formulated from this model. These solutions are regular in the sense that Newton's method will converge locally and quadratically. The effectiveness of the new approach is demonstrated via numerical examples. Two levels of generalization are distinguished, where the more restrictive case contains an additional assumption on the structure of the set of consistent inhomogeneities. After completing medical school and military sevice, Dr.

The necessary theory is presented. This then leads to new canonical forms and new invariances for pencils of matrix valued functions. We discuss the behaviour of ρ-closed sets under operations of linear algebra and the ρ-closedness of particular classes of matrices. The stabilization of constraints through such techniques as Baumgarte stabilization has been used in the simulation community for some time. He was a caring husband to his two Betty's who predeceased him: Betty Lewis Kunkel from 1972-1993; Betty Shrift Kunkel from 1995-1998. In this paper we point out how earlier linear time invariant results do not immediately apply to the linear time varying case and then analyze the linear time varying case.

Both a direct transcription approach and the solution of the necessary conditions are examined for two important discretizations. From 1988 to 1992, Mr. Matrix pencils depending on a parameter and their canonical forms under equivalence are discussed. Nonuniqueness and inconsistencies are treated in a least square sense. Kunkel attended Northwestern University on a Naval Reserve Officer Training Corps Scholarship where he earned his B. This paper presents an approach for the construction of both full order and reduced order observers for general linear time varying differential algebraic equations.

Its behavior is discussed along with two computational examples that include the iterationʼs application to general integration methods for differential algebraic equations. From 1992 to 1996, Kunkel served as an infantry officer in the United States Marine Corps. Nonuniqueness and inconsistencies are treated in a least square sense. Peter's presence will be deeply missed by all who knew him. The paper presents an algorithm that solves two-point boundary-value problems that arise in economic control models in continuous time with an infinite time horizon and several state variables. He also performed proprietary strategic analysis for the firm's Global Industrial Group. We study over- and underdetermined systems of nonlinear dierential-algebraic equations.

We study linear variable coefficient control problems in descriptor form. Die Implementierung basiert auf einem neuen Diskretisierungsverfahren und kann Systeme mit beliebigem Index lösen. However, many of these methods require special circumstances to hold or the user to have special software. We give a survey of recent results for square pencils and extend these results to nonsquare pencils. If a Gauß—Newton iteration is used to solve a system of equations that has a manifold of solutions, then the iteration does not produce the minimal norm solution. Descriptor systems, differential algebraic equations, condensed forms, smooth singular value decomposition, strangeness index, regularization, linear feedback. We demonstrate the efficiency of the new approach with some numerical examples.

Moreover, we discuss the numerical solution of the resulting two-point boundary value problems and present a numerical example. Army Public Affairs at 703 697-2564. Finally, we present some numerical comparisons to show the reliability and efficiency of the new methods. We derive necessary and sufficient optimality conditions for optimal solution. On the basis of the presented theoretical results, numerical methods for the determination of consistent initial values and for the computation of regular solutions are developed.