The series is devoted to the publication of high-level monographs which cover the whole
spectrum of current nonlinear analysis and applications in various fields, such as …

The history of the time-varying Riccati equation can be traced back to Riccati's original
manuscripts of 1715-1725. Indeed, the major concern of Count Riccati was to study the …

The advantages of periodic control have been known since humanity learned to cultivate
crops in rotation to increase production. In more recent times, it has been recognized that …

It has long been known that non-steady state and periodic catalytic reactor operation in
terms of temperature, pressure, and composition can lead to higher overall productivity …

An infinite-dimensional linear time-varying system on the interval (-∞,∞) is considered. We
introduce three quadratic problems: the infinite horizon problem, and one-sided and two …

This paper is concerned with the turnpike property for a class of stochastic linear-quadratic
(LQ, for short) optimal control problems with periodic coefficients. The stability and …

We propose a new quadratic control problem for linear periodic systems which can be finite
or infinite dimensional. We consider both deterministic and stochastic cases. It is a …

3 Algebraic Riccati Equation: Hermitian and Definite Solutions Page 1 3 Algebraic Riccati
Equation: Hermitian and Definite Solutions Vladimfr Kucera 3.1 Introduction Let A, B, and C be …

WOLFGANG KLIEMANN Page 1 INFINITE TIME OPTIMAL CONTROL AND PERIODICITY BY
FRITZ COLONIUS AND WOLFGANG KLIEMANN IMA PREPRINT SERIES # 2H0 APRIL 1986 …

This self-contained book gives a detailed treatment of optimal control theory that enables
readers to formulate and solve optimal control problems. With a strong emphasis on problem …