# Infinite Dimensional Linear Control Systems, Volume 201: The Time Optimal and Norm Optimal Problems (North-Holland Mathematics Studies) download epub

#### by **H.O. Fattorini**

**Epub Book:**1142 kb. |

**Fb2 Book:**1256 kb.

The Time Optimal and Norm Optimal Problems. The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete treatment.

The Time Optimal and Norm Optimal Problems. Hardcover ISBN: 9780444516329. eBook ISBN: 9780080457345. Imprint: North Holland. Published Date: 12th July 2005. As experience shows, results on linear equations are the basis for the treatment of their semilinear counterparts, and techniques for the time and norm optimal problems can often be generalized to more general cost functionals.

O. Fattorini, Infinite Dimensional Linear Control Systems: The Time Optimal and Norm Optimal Problems, North-Holland Mathematics Studies, Vol. 201, Elsevier, Amsterdam, 2005. has been cited by the following article: TITLE: Time-Optimal Control Problem for n n Co-Operative Parabolic Systems with Control in Initial Conditions. AUTHORS: Mohammed A. Shehata. ABSTRACT: In this paper, time-optimal control problem for a liner n n co-operative parabolic system involving Laplace operator is considered. This problem is, steering an initial state y(0) u, with control uso that an observation y(t) hitting a given target set in minimum time.

The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete .

The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete treatment.

The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a. .

North-Holland Mathematics Studies. Key features: · Applications to optimal diffusion processes. The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete treatment

North-Holland Mathematics Studies.

Infinite Dimensional Linear Control Systems, the Time Optimal and Norm Optimal Problems. North-Holland Mathematics Studies, vol. 201. Elsevier, Amsterdam (2005)Google Scholar. 2. Qin, . Wang, . Equivalence between minimal time and minimal norm control problems for the heat equation. SIAM J. Control Optim. 56, 981–1010 (2018)ogle Scholar. Yang, . Impulse Control Theory, Lecture Notes in Control and Information Sciences. Springer, Berlin (2001)Google Scholar. 8. Yong, . Zhang, . Necessary conditions of optimal impulse controls for distributed parameter systems.

General Note: For more than forty years, the equation y(t) Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained open until recently, and some have never been solved.

H. O. Fattorini, Inﬁnite Dimensional Linear Control Systems: The Time Optimal an. Fattorini, Inﬁnite Dimensional Linear Control Systems: The Time Optimal and. Norm Optimal Problems, tics Studies, 201, Elsevier, Amster-. X. Li, J. Yong, Optimal Control Theory for Inﬁnite Dimensional Systems, Birkhauser. In this paper, we consider various time-optimal control problems for n n cooperative hyperbolic linear system involving Laplace operator with distributed or boundary controls and with observations act in position or in velocity. For each problem, the optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang.

In this paper, we study the optimal time problem for the one-dimensional . Infinite dimensional linear control systems : the time optimal and norm optimal problems.

In this paper, we study the optimal time problem for the one-dimensional, linear heat equation, in the presence of a scaling parameter. To begin with, we build an exact solution.

The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete treatment. As experience shows, results on linear equations are the basis for the treatment of their semilinear counterparts, and techniques for the time and norm optimal problems can often be generalized to more general cost functionals.

The main object of this book is to be a state-of-the-art monograph on the theory of the time and norm optimal controls for y’(t) = Ay(t) + u(t) that ends at the very latest frontier of research, with open problems and indications for future research.

Key features:

· Applications to optimal diffusion processes. · Applications to optimal heat propagation processes. · Modelling of optimal processes governed by partial differential equations. · Complete bibliography. · Includes the latest research on the subject. · Does not assume anything from the reader except basic functional analysis. · Accessible to researchers and advanced graduate students alike · Applications to optimal diffusion processes. · Applications to optimal heat propagation processes. · Modelling of optimal processes governed by partial differential equations. · Complete bibliography. · Includes the latest research on the subject. · Does not assume anything from the reader except basic functional analysis. · Accessible to researchers and advanced graduate students alike

**Author:**H.O. Fattorini

**ISBN:**0444516328

**Category:**Computers & Technology

**Subcategory:**Hardware & DIY

**Language:**English

**Publisher:**North Holland; 1 edition (September 12, 2005)

**Pages:**332 pages