Optimal Control

1. Front Matter

   Pages I-XIII

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2. Optimality Conditions and Algorithms

   1. Front Matter

      Pages 1-1

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   2. Tent Method in Optimal Control Theory

      • Vladimir G. Boltyanski

      Pages 3-20

   3. Pontryagin’s Maximum Principle for Multidimensional Control Problems

      • Rolf Klötzler, Sabine Pickenhain

      Pages 21-30

   4. An Algorithm for Abstract Optimal Control Problems Using Maximum Principles and Applications to a Class of Distributed Parameter Systems

      • Hans Benker, Michael Handschug

      Pages 31-42

   5. Convexification of Control Problems in Evolution Equations

      • Winfried Kampowsky, Uldis Raitums

      Pages 43-56

   6. Semidiscrete Ritz-Galerkin Approximation of Nonlinear Parabolic Boundary Control Problems

      • Fredi Tröltzsch

      Pages 57-68

   7. Iterative Methods for Optimal Control Processes governed by Integral Equations

      • Werner H. Schmidt

      Pages 69-82

   8. Solving Equations — a Problem of Optimal Control

      • Leonhard Bittner

      Pages 83-97

   9. On the Minimax Optimal Control Problem and Its Variations

      • Ping Lu, Nguyen X. Vinh

      Pages 99-112

3. Numerical Methods

   1. Front Matter

      Pages 113-113

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   2. Trajectory Optimization Using Sparse Sequential Quadratic Programming

      • John T. Betts

      Pages 115-128

   3. Numerical Solution of Optimal Control Problems by Direct Collocation

      • Oskar von Stryk

      Pages 129-143

   4. Reduced SQP Methods for Nonlinear Heat Conduction Control Problems

      • F.-S. Kupfer, E. W. Sachs

      Pages 145-160

4. Analysis and Synthesis of Nonlinear Systems

   1. Front Matter

      Pages 161-161

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   2. Decomposition and Feedback Control of Nonlinear Dynamic Systems

      • Felix L. Chernousko

      Pages 163-171

   3. A Discrete Stabilizing Study Strategy for a Student Related Problem under Uncertainty

      • George Leitmann, Cho Seng Lee

      Pages 173-185

   4. Stability Conditions in Terms of Eigenvalues of a Nonlinear Optimal Controlled System

      • Houria Bourdache-Siguerdidjane

      Pages 187-194

   5. Program-positional Optimization for Dynamic Systems

      • R. Gabasov, F. M. Kirillova, N. V. Balashevich

      Pages 195-205

   6. Synthesis of Bilinear Controlled Systems with Delay

      • Vladimir Kolmanovskii, Natalia Koroleva

      Pages 207-219

"Optimal Control" reports on new theoretical and practical advances essential for analysing and synthesizing optimal controls of dynamical systems governed by partial and ordinary differential equations. New necessary and sufficient conditions for optimality are given. Recent advances in numerical methods are discussed. These have been achieved through new techniques for solving large-sized nonlinear programs with sparse Hessians, and through a combination of direct and indirect methods for solving the multipoint boundary value problem. The book also focuses on the construction of feedback controls for nonlinear systems and highlights advances in the theory of problems with uncertainty. Decomposition methods of nonlinear systems and new techniques for constructing feedback controls for state- and control constrained linear quadratic systems are presented. The book offers solutions to many complex practical optimal control problems.

• Calculus of Variations
• Eigenvalue
• Evolution
• Optimal control
• boundary value problem
• calculus
• differential equation
• maximum
• minimum
• numerical methods
• optimization

• Mathematisches Institut, TH München, München 2, Germany

  R. Bulirsch

• Dept. of Mechanical Engineering and Materials Science, Houston, USA

  A. Miele

• Mathematik u. Statistik, Inst. f. Angewandte, Würzburg, Germany

  J. Stoer

• Inst. f. Flugmechanik u. Flugregelung, Universität Stuttgart, Stuttgart, Germany

  K. Well

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