{totalEditions, plural,
 =0 {# editions }
 one {# edition }
 other {# editions }
 }
 {totalHoldingCount, plural,
 =0 {in # libraries}
 one {in # library}
 other {in # libraries}
 }

This edition in {totalHoldingCount} libraries

{libraryName} added to favorite libraries

{libraryName} removed from favorite libraries

Better World Books

Bookshop.org

RightFind

AbeBooks

VitalSource

Amazon

Select this title to view the detailed record for {title}

Added: {formattedDate}

New at the library

Fiction

Showing {0}-{1} of {total} items

Nonfiction

View access options

Access from your libraries

Borrow from {library}

{formattedDistance} away

Borrow

Borrow from {institution} near {location}

Access Online

Request this item via:

Get it from {institution}

Borrow from your library

Borrow from {institution}

Unable to find any access options. Search the library catalog.

Look what I found on WorldCat.org

Cite list {title}

Cite

Cite {itemTitle}

Share {itemTitle}

Check out this item I found on https://search.worldcat.org

Add {itemTitle} to a list

Share

Add to list

Share list {title}

Item shared from WorldCat.org

Edition

Publisher

View all Formats and Editions for {title}

Dissertation

View all formats and editions

Unable to find libraries on WorldCat with this item.

Access

Yes, show me

Generating recommendations...

We have made recommendations based on your search.

Recommendations provided by a third-party AI service. Only title and author data is shared.

Looks like we hit a snag. Please try again later.

Let us know how we did

beta

We can make recommendations based on this item.

Recommendations for you

Explore similar titles

Uh oh! :(

Sign in

Please sign in to generate recommendations.

ISSN

Cast

Language Notes

Notes

Genre

ISBN

Subjects

Medium of Performance

Event Notes

Reproduction Notes

Show less information

Series

Publication

Credits

Show more information

Performers

Additional Physical Form Entry

Click this link to view the DOI record {x}

Physical Description

OCLC Number / Unique Identifier

Target Audience

Numeric Designation of Musical Work

More Information

Cartographic Mathematical Data

We tailor your experience based on the order of your favorite libraries.

Drag or select a library from below to update the order

use the arrow up and down keys to change the order

{0}, order {1} in the list of {2} libraries

Unable to save libraries order. Please try again

To save changes to the library order, press Done

WorldCat.org

1 Path Integrals and Stability.- 1.1 Introduction.- 1.2 Path Independence.- 1.3 Positivity of Quadratic Differential Forms.- 1.4 Lyapunov Theory for High-Order Differential Equations.- 1.5 The Bezoutian.- 1.5.1 The Routh Test.- 1.5.2 The Kharitonov Theorem.- 1.6 Dissipative Systems.- 1.7 Stability of Nonautonomous Systems.- 1.8 Conclusions.- 1.9 Appendixes.- 1.9.1 Appendix A: Notation.- 1.9.2 Appendix B: Linear Differential Systems.- 1.9.3 Appendix C: Proofs.- 2 The Estimation Algebra of Nonlinear Filtering Systems.- 2.1 Introduction.- 2.2 The Filtering Model and Background.- 2.3 Starting from the Beginning.- 2.4 Early Results on the Homomorphism Principle.- 2.5 Automorphisms that Preserve Estimation Algebras.- 2.6 BM Estimation Algebra.- 2.7 Structure of Exact Estimation Algebra.- 2.8 Structure of BM Estimation Algebras.- 2.9 Connection with Metaplectic Groups.- 2.10 Wei-Norman Representation of Filters.- 2.11 Perturbation Algebra and Estimation Algebra.- 2.12 Lie-Algebraic Classification of Maximal Rank Estimation Algebras.- 2.13 Complete Characterization of Finite-Dimensional Estimation Algebras.- 2.14 Estimation Algebra of the Identification Problem.- 2.15 Solutions to the Riccati P.D.E.- 2.16 Filters with Non-Gaussian Initial Conditions.- 2.17 Back to the Beginning.- 2.18 Acknowledgement.- 3 Feedback Linearization.- 3.1 Introduction.- 3.2 Linearization of a Smooth Vector Field.- 3.3 Linearization of a Smooth Control System by Change-of-State Coordinates.- 3.4 Feedback Linearization.- 3.5 Input-Output Linearization.- 3.6 Approximate Feedback Linearization.- 3.7 Normal Forms of Control Systems.- 3.8 Observers with Linearizable Error Dynamics.- 3.9 Nonlinear Regulation and Model Matching.- 3.10 Backstepping.- 3.11 Feedback Linearization and System Inversion.- 3.12 Conclusion.- 4 On the Global Analysis of Linear Systems.- 4.1 Introduction.- 4.2 The Geometry of Rational Functions.- 4.2.1 Spaces of Scalar-Input/Scalar-Output Linear Systems.- 4.2.2 The Deterministic Partial Realization Problem.- 4.3 Group Actions and the Geometry of Linear Systems.- 4.3.1 The Geometry of Matrix-Valued Rational Functions.- 4.3.2 Applications to Canonical Forms.- 4.3.3 A Signature Formula for the Maslov Index.- 4.4 The Geometry of Inverse Eigenvalue Problems.- 4.4.1 Inverse Eigenvalue Problems and the Hopf Degree.- 4.4.2 Pole Assignment by Output Feedback.- 4.5 Nonlinear Optimization on Spaces of Systems.- 4.5.1 A Classical Example: Uniqueness of Maximum Likelihood Estimates.- 4.5.2 The Partial Realization Problem Revisited.- 4.5.3 A Geometric Parameterization of Positive Rational Covariance Extensions.- 4.5.4 A Convex Optimization Scheme for Rational Covariance Extensions.- 5 Geometry and Optimal Control.- 5.1 Introduction.- 5.2 From Queen Dido to the Maximum Principle.- 5.3 Invariance, Covariance, and Lie Brackets.- 5.4 The Maximum Principle.- 5.5 The Maximum Principle as a Necessary Condition for Set Separation.- 5.6 Weakly Approximating Cones and Transversality.- 5.7 A Streamlined Version of the Classical Maximum Principle.- 5.8 Clarke’s Nonsmooth Version and the ?ojasiewicz Improvement.- 5.9 Multidifferentials, Flows, and a General Version of the Maximum Principle.- 5.10 Three Ways to Make the Maximum Principle Intrinsic on Manifolds.- 5.11 Conclusion.- 6 Languages, Behaviors, Hybrid Architectures, and Motion Control.- 6.1 Introduction.- 6.2 MDLe: A Language for Motion Control.- 6.2.1 Performance Measure of a Plan.- 6.3 Hybrid Architecture.- 6.4 Application of MDLe to Path Planning with Nonholonomic Robots.- 6.4.1 Nonholonomic Constraints.- 6.5 PNMR: Path Planner for Nonholonomic Mobile Robots.- 6.5.1 Planning in the Obstacle-Free Disk.- 6.5.2 Tracing Boundaries.- 6.5.3 World Model Update.- 6.6 Conclusions.- 7 Optimal Control, Geometry, and Mechanics.- 7.1 Introduction.- 7.2 Variational Problems with Constraints and Optimal Control.- 7.3 Invariant Optimal Problems on Lie Groups.- 7.4 Sub-Riemannian Spheres—The Contact Case.- 7.5 Sub-Riemannian Systems on Lie Groups.- 7.6 Heavy Top and the Elastic Problem.- 7.7 Conclusion.- 8 Optimal Control, Optimization, and Analytical Mechanics.- 8.1 Introduction.- 8.2 Modeling Variational Problems in Mechanics and Control.- 8.2.1 Introduction.- 8.2.2 Variational Systems without External Forces.- 8.2.3 Mechanical Systems with External Forces.- 8.2.4 Relation to Optimal Control.- 8.2.5 Reduction.- 8.2.6 A Special Case.- 8.3 Optimization.- 8.4 Optimal Control Problems and Integrable Systems.- 8.4.1 Introduction.- 8.4.2 Optimal Control on Adjoint Orbits.- 8.4.3 Optimal Control on Symmetric Spaces.- 8.4.4 Optimal Control and the Toda Flow.- 9 The Geometry of Controlled Mechanical Systems.- 9.1 Introduction.- 9.2 Second-Order Generalized Control Systems.- 9.3 Flat Systems and Systems with Flat Inputs.- 9.4 Averaging Lagrangian and Hamiltonian Systems with Oscillatory Inputs.- 9.5 Stability and Flatness in Mechanical Systems with Oscillatory Inputs.- 9.6 Concluding Remarks.

1 online resource (XXXII, 360 pages 16 illustrations)

This self-contained volume surveys three decades of mathematical control theory and at the same time describes how the work of Roger Brockett shaped and influenced its development. Nine survey articles written by leading experts in the field, who have also been closely associated with Roger Brockett at various stages in his career, treat the subject cohesively and in depth. This volume will provide an important reference for graduate students and researchers, as well as for mathematicians, engineers and scientists whose work involves concepts and the language of control and systems theory

Mathematical Control Theory