Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin |
Autore | Egerstedt Magnus |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
Descrizione fisica | 1 online resource (227 p.) |
Disciplina | 511/.42 |
Altri autori (Persone) | MartinClyde |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Interpolation
Smoothing (Numerical analysis) Smoothing (Statistics) Curve fitting Splines Spline theory |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-45796-9
1-282-93606-9 9786612936067 9786612457968 1-4008-3387-6 |
Classificazione | SK 880 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- Index |
Record Nr. | UNINA-9910456747503321 |
Egerstedt Magnus
![]() |
||
Princeton, : Princeton University Press, c2010 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin |
Autore | Egerstedt Magnus |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
Descrizione fisica | 1 online resource (227 p.) |
Disciplina | 511/.42 |
Altri autori (Persone) | MartinClyde |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Interpolation
Smoothing (Numerical analysis) Smoothing (Statistics) Curve fitting Splines Spline theory |
Soggetto non controllato |
Accuracy and precision
Affine space Affine variety Algorithm Approximation Arbitrarily large B-spline Banach space Bernstein polynomial Bifurcation theory Big O notation Birkhoff interpolation Boundary value problem Bézier curve Chaos theory Computation Computational problem Condition number Constrained optimization Continuous function (set theory) Continuous function Control function (econometrics) Control theory Controllability Convex optimization Convolution Cubic Hermite spline Data set Derivative Differentiable function Differential equation Dimension (vector space) Directional derivative Discrete mathematics Dynamic programming Equation Estimation Filtering problem (stochastic processes) Gaussian quadrature Gradient descent Gramian matrix Growth curve (statistics) Hermite interpolation Hermite polynomials Hilbert projection theorem Hilbert space Initial condition Initial value problem Integral equation Iterative method Karush–Kuhn–Tucker conditions Kernel method Lagrange polynomial Law of large numbers Least squares Linear algebra Linear combination Linear filter Linear map Mathematical optimization Mathematics Maxima and minima Monotonic function Nonlinear programming Nonlinear system Normal distribution Numerical analysis Numerical stability Optimal control Optimization problem Ordinary differential equation Orthogonal polynomials Parameter Piecewise Pointwise Polynomial interpolation Polynomial Probability distribution Quadratic programming Random variable Rate of convergence Ratio test Riccati equation Simpson's rule Simultaneous equations Smoothing spline Smoothing Smoothness Special case Spline (mathematics) Spline interpolation Statistic Stochastic calculus Stochastic Telemetry Theorem Trapezoidal rule Waypoint Weight function Without loss of generality |
ISBN |
1-282-45796-9
1-282-93606-9 9786612936067 9786612457968 1-4008-3387-6 |
Classificazione | SK 880 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- Index |
Record Nr. | UNINA-9910780863803321 |
Egerstedt Magnus
![]() |
||
Princeton, : Princeton University Press, c2010 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential geometry : the interface between pure and applied mathematics : proceedings of a conference held April 23-25, 1986, with support from the National Science Foundation / / Mladen Luksic, Clyde Martin, William Shadwick, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1987] |
Descrizione fisica | 1 online resource (286 p.) |
Disciplina | 516.3/6 |
Collana | Contemporary mathematics |
Soggetto topico | Geometry, Differential |
Soggetto genere / forma | Electronic books. |
ISBN | 0-8218-7657-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Geometric Aspects of Hessenberg Matrices""; ""Differential Geometric Aspects of Continuum Mechanics in Higher Dimensions""; ""Lax�Type Flows on Grassmann Manifolds""; ""Some Global Aspects of the Feedback Linearization Problem""; ""On Notions of Equivalence of Variational Problems with One Independent Variable""; ""A Singular Problem in Elasticity Theory""; ""Controllability of Linear Systems, Differential Geometry of Curves in Grassmannians, and Riccati Equations""; ""Explicit Solutions for an Estimation Problem in Manifolds Associated with Lie Groups""
""Overdetermined Equivalence Problems with an Application to Feedback Equivalence""""The Symbolic Computation of Higher�Order Derivations: Symmetries of Expressions and Actions of Group Algebras""; ""Cartan's Method of Equivalence and the Classification of Second�Order Ordinary Differential Equations""; ""A Necessary Condition for Local Controllability""; ""Normal Forms for Linear and Nonlinear Systems""; ""Adaptive Stabilization of Multivariable Linear Systems""; ""Approximation, Interpolation and Sampling"" ""Stability Analysis of a Rigid Body with a Flexible Attachment Using the Energy�Casimir Method"" |
Record Nr. | UNINA-9910480338903321 |
Providence, Rhode Island : , : American Mathematical Society, , [1987] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential geometry : the interface between pure and applied mathematics : proceedings of a conference held April 23-25, 1986, with support from the National Science Foundation / / Mladen Luksic, Clyde Martin, William Shadwick, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1987] |
Descrizione fisica | 1 online resource (286 p.) |
Disciplina | 516.3/6 |
Collana | Contemporary mathematics |
Soggetto topico | Geometry, Differential |
ISBN | 0-8218-7657-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Preface -- Geometric Aspects of Hessenberg Matrices -- Differential Geometric Aspects of Continuum Mechanics in Higher Dimensions -- Lax-Type Flows on Grassmann Manifolds -- Some Global Aspects of the Feedback Linearization Problem -- On Notions of Equivalence of Variational Problems with One Independent Variable -- A Singular Problem in Elasticity Theory -- Controllability of Linear Systems, Differential Geometry of Curves in Grassmannians, and Riccati Equations -- Explicit Solutions for an Estimation Problem in Manifolds Associated with Lie Groups -- Overdetermined Equivalence Problems with an Application to Feedback Equivalence -- The Symbolic Computation of Higher-Order Derivations: Symmetries of Expressions and Actions of Group Algebras -- Cartan's Method of Equivalence and the Classification of Second"Order Ordinary Differential Equations -- A Necessary Condition for Local Controllability -- Normal Forms for Linear and Nonlinear Systems -- Adaptive Stabilization of Multivariable Linear Systems -- Approximation, Interpolation and Sampling -- Stability Analysis of a Rigid Body with a Flexible Attachment Using the Energy-Casimir Method. |
Record Nr. | UNINA-9910788786103321 |
Providence, Rhode Island : , : American Mathematical Society, , [1987] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential geometry : the interface between pure and applied mathematics : proceedings of a conference held April 23-25, 1986, with support from the National Science Foundation / / Mladen Luksic, Clyde Martin, William Shadwick, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1987] |
Descrizione fisica | 1 online resource (286 p.) |
Disciplina | 516.3/6 |
Collana | Contemporary mathematics |
Soggetto topico | Geometry, Differential |
ISBN | 0-8218-7657-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Preface -- Geometric Aspects of Hessenberg Matrices -- Differential Geometric Aspects of Continuum Mechanics in Higher Dimensions -- Lax-Type Flows on Grassmann Manifolds -- Some Global Aspects of the Feedback Linearization Problem -- On Notions of Equivalence of Variational Problems with One Independent Variable -- A Singular Problem in Elasticity Theory -- Controllability of Linear Systems, Differential Geometry of Curves in Grassmannians, and Riccati Equations -- Explicit Solutions for an Estimation Problem in Manifolds Associated with Lie Groups -- Overdetermined Equivalence Problems with an Application to Feedback Equivalence -- The Symbolic Computation of Higher-Order Derivations: Symmetries of Expressions and Actions of Group Algebras -- Cartan's Method of Equivalence and the Classification of Second"Order Ordinary Differential Equations -- A Necessary Condition for Local Controllability -- Normal Forms for Linear and Nonlinear Systems -- Adaptive Stabilization of Multivariable Linear Systems -- Approximation, Interpolation and Sampling -- Stability Analysis of a Rigid Body with a Flexible Attachment Using the Energy-Casimir Method. |
Record Nr. | UNINA-9910828511203321 |
Providence, Rhode Island : , : American Mathematical Society, , [1987] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|