Quadratic Functionals in Variational Analysis and Control Theory (Mathematical Topics) Werner Kratz » unknownpoles.com

Get this from a library! Quadratic functionals in variational analysis and control theory. [Werner Kratz]. NASA/ADS Kratz, W.: Quadratic Functionals in Variational Analysis and Control Theory. Berlin, Akademie Verlag 1995. 293 S., DM 120. ISBN 3-05-501656-4 Mathematical Topics 6. Quadratic functionals in variational analysis and control theory. [Werner Kratz]. asymptotics. Part 3 Matrix analysis: oscillatory and asymptotic behaviour of monotone matrix-valued functions. Part 4 Topics in linear control theory: controllability and strong observability; construction of observers; canonical forms; arbitary pole assignment.

The quadratic variation of Y over T, Qr2 Y, is the limit of Q2 Y, I&&, in some sense, as m, n00 if it exists. The purpose of this paper is to study the quadratic variation of the two- parameter Wiener functionals of the form Ys, t = f Ws, t, where f is a function on the reals. Werner Kratz View The above results, based on assumptions 1.10 or 1.11, were derived by applying the index theorem for monotone matrix-valued functions in [31, 32,35]. In this paper we derive various characterizations of strong observability or observability with unknown inputs of time-dependent linear systems $$\\dot x = AxBu,y = C_0 x$$ with state x, control u, and output y, provided that the matrices A, B, and C0 are smooth enough. We show that strong observability is equivalent to the definiteness of a corresponding quadratic functional, and. Werner Kratz; In this paper we study the structure of the Jacobi system for optimal control problems on time scales. The inequalities considered are for discrete quadratic functionals. Werner Kratz, Quadratic functionals in variational analysis and control theory, Mathematical Topics, vol. 6, Akademie Verlag, Berlin, 1995. MR 1334092 18. Werner Kratz, Discrete oscillation, J. Difference Equ. Appl. 9 2003, no. 1, 135–147.

Dec 01, 1998 · Journal of Mathematical Analysis and Applications. Volume 228,. Variational Problem of Some Quadratic Functionals in Complex Analysis. M. Morse, M. HeinsTopological methods in the theory of functions of a single complex variable. Ann. Math., 46 1945, pp. 600-666. Werner Kratz; Roman Hilscher; Vera Zeidan. Quadratic Functionals in Variational Analysis and Control Theory. conjugate points can be extended to a regular linear-quadratic control problem. Many results obtained recently by Bohner, Došlý, and Kratz regarding the non-negativity of the corresponding discrete quadratic functionals, Sturmian separation and comparison theorems. In this paper we present the theory of nabla time scale symplectic systems. In particular, we establish conditions characterizing the positivity and nonnegativity of the quadratic functionals. September 27, 1999: Werner Kratz Ulm: Positivity of Quadratic Functionals and Oscillation. September 22, 1999: Tim Randolph: Control Theory in Banach Spaces. September 15, 1999: Tim Randolph: Control Theory in Banach Spaces Cancelled.