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# ðŸ“™ Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations by M.D.S. Aliyu â€” epub download

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A comprehensive overview of nonlinear *H _{âˆž }*control theory for both continuous-time and discrete-time systems,

and algorithms for solving the ubiquitous Hamilton-Jacobi-Isaacs equations. The link between the subject and analytical mechanics as well as the theory of partial differential equations is also elegantly summarized in a single chapter.

Recent progress in developing computational schemes for solving the Hamilton-Jacobi equation (HJE) has facilitated the application of Hamilton-Jacobi theory in both mechanics and control. As there is currently no efficient systematic analytical or numerical approach for solving them, the biggest bottle-neck to the practical application of the nonlinear equivalent of the *H _{âˆž}-*control theory has been the difficulty in solving the Hamilton-Jacobi-Isaacs partial differential-equations (or inequalities). In light of this challenge, the author hopes to inspire continuing research and discussion on this topic via examples and simulations, as well as helpful notes and a rich bibliography.

**Nonlinear H _{âˆž}-Control, Hamiltonian Systems and Hamilton-Jacobi Equations** was written for practicing professionals, educators, researchers and graduate students in electrical, computer, mechanical, aeronautical, chemical, instrumentation, industrial and systems engineering, as well as applied mathematics, economics and management.

- Author:
**M.D.S. Aliyu** - Year:
**2011** - Publisher:
**CRC Press** - Language:
**English** - ISBN:
**1439854831,978-1-4398-5483-9**

- File size:
**3 520 266** - Format:
**pdf**

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A comprehensive overview of nonlinear H? control theory for both continuous-time and discrete-time systems, Nonlinear H?-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers topics as diverse as singular nonlinear H?-control, nonlinear H? -fi...

Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications. This text is the first comprehensive exposition of the theory of semiconcave functions, ...

Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications. This text is the first comprehensive exposition of the theory of semiconcave functions, ...

This largely self-contained book provides a unified framework of semi-Lagrangian strategy for the approximation of hyperbolic PDEs, with a special focus on Hamilton-Jacobi equations. The authors provide a rigorous discussion of the theory of viscosity sol...

These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". Th...

The maximum principle and dynamic programming are the two most commonly used approaches in solving optimal control problems. These approaches have been developed independently. The theme of this book is to unify these two approaches, and to demonstrate th...

The authors present a study of the H-infinity control problem and related topics for descriptor systems, described by a set of nonlinear differential-algebraic equations. They derive necessary and sufficient conditions for the existence of a controller so...

This book is a self-contained account of the theory of viscosity solutions for first-order partial differential equations of Hamiltonâ€“Jacobi type and its interplay with Bellmanâ€™s dynamic programming approach to optimal control and differential games, as i...

This softcover book is a self-contained account of the theory of viscosity solutions for first-order partial differential equations of Hamiltonâ€“Jacobi type and its interplay with Bellmanâ€™s dynamic programming approach to optimal control and differential g...

* Develop an Internet business strategy * Build a winning project team * Work toward your Webmaster CertificationTotal Management Strategies for Web-based Projects....

This book makes Hazardous or Electrical Area Classification simple. In plants processing flammable materials, every effort is made to avoid the escape of such materials and in addition, stringent measures are taken to exclude sources of ignition. A comple...

Exposure anxiety is increasingly understood as a crippling condition affecting a high proportion of people on the autism spectrum. To many it is an invisible cage, leaving the person suffering from it aware, but buried alive in their own involuntary respo...

Express in Action is a carefully designed tutorial that teaches you how to build web applications using Node and Express. Express in Action teaches you how to build web applications using Node and Express. It starts by introducing Node's powerful traits ...

This book puts forward a more considered perspective on 3D, which is often seen as a distracting gimmick at odds with artful cinematic storytelling. Owen Weetch looks at how stereography brings added significance and expressivity to individual films that ...

Expressive Arts Therapy for Traumatized Children and Adolescents is the book so many expressive arts and trauma therapists have been waiting for. Not only does it lay out an organized, thorough framework for applying varied expressive arts modalities, it ...