The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems. This one mathematical method can be applied in a variety of situations, including linear equations with variable coefficients, optimal processes with delay, and the jump condition. As with the three preceding volumes, all the material contained with the 42 sections of this volume is made easily accessible by way of numerous examples, both concrete and abstract in nature.
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First Sentence:
We shall consider the behavior of an object whose state at any instant of time is characterized by n real numbers x1, x2, ... , xn (for example, these may be coordinates and velocities). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
other optimal trajectories, regular optimal trajectory, general position condition, compare with page, limiting cone, corresponding optimal trajectory, compact commutative groups, phase point moves, extremal control, optimal problem, piecewise continuous controls, variable endpoints, admissible controls, continuous vector function, pursued object, auxiliary unknowns, perturbed trajectory, measurable controls, pursuing point, optimal motion, phase trajectory, perturbed trajectories, least possible value, phase trajectories, maximum principle Key Phrases - Capitalized Phrases (CAPs): (learn more)
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We shall consider the behavior of an object whose state at any instant of time is characterized by n real numbers x1, x2, ... , xn (for example, these may be coordinates and velocities). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
other optimal trajectories, regular optimal trajectory, general position condition, compare with page, limiting cone, corresponding optimal trajectory, compact commutative groups, phase point moves, extremal control, optimal problem, piecewise continuous controls, variable endpoints, admissible controls, continuous vector function, pursued object, auxiliary unknowns, perturbed trajectory, measurable controls, pursuing point, optimal motion, phase trajectory, perturbed trajectories, least possible value, phase trajectories, maximum principle Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 9
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100
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- L.S. Pontryagin: Topological Groups (Classics of Soviet Mathematics) by R. V. Gamkrelidze in Front Matter (1), Front Matter (2), and Front Matter (3)
- Algebraic and Differential Topology (Classics of Soviet Mathematics) by R. V. Gamkrelidze in Front Matter (1), and Front Matter (2)
- Dynamic Programming (Dover Books on Computer Science) by Richard Bellman on page 69, and Back Matter
- Functional Analysis (Dover Books on Mathematics) by Frigyes Riesz on page 77, and page 332
- Ordinary Differential Equations by L.S. Pontryagin in Front Matter, and page 132
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- Nonlinear Controllability and Optimal Control (Chapman & Hall/CRC Pure and Applied Mathematics) by Sussmann on page 19, page 312, and page 381
- Algebraic and Differential Topology (Classics of Soviet Mathematics) by R. V. Gamkrelidze in Front Matter (1), Front Matter (2), and Front Matter (3)
- Selected of Norman Levinson: Volume 2 (Contemporary Mathematicians) by John Nohel on page 473, and page 516
- Thermodynamics of Energy Conversion and Transport by Stanislaw Sieniutycz on page 139, and page 198
- Optimal Control (Systems & Control: Foundations & Applications) by Richard Vinter on page 201, and Back Matter
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