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Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin
| 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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin
| 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-9910807652503321 |
|
Egerstedt Magnus
|
||
| Princeton, : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Robust optimization [[electronic resource] /] / Aharon Ben-Tal, Laurent El Ghaoui, Arkadi Nemirovski
| Robust optimization [[electronic resource] /] / Aharon Ben-Tal, Laurent El Ghaoui, Arkadi Nemirovski |
| Autore | Ben-Tal A |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (565 p.) |
| Disciplina | 519.6 |
| Altri autori (Persone) |
El GhaouiLaurent
NemirovskiĭArkadiĭ Semenovich |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Robust optimization
Linear programming |
| Soggetto non controllato |
0O
Accuracy and precision Additive model Almost surely Approximation algorithm Approximation Best, worst and average case Bifurcation theory Big O notation Candidate solution Central limit theorem Chaos theory Coefficient Computational complexity theory Constrained optimization Convex hull Convex optimization Convex set Cumulative distribution function Curse of dimensionality Decision problem Decision rule Degeneracy (mathematics) Diagram (category theory) Duality (optimization) Dynamic programming Exponential function Feasible region Floor and ceiling functions For All Practical Purposes Free product Ideal solution Identity matrix Inequality (mathematics) Infimum and supremum Integer programming Law of large numbers Likelihood-ratio test Linear dynamical system Linear inequality Linear map Linear matrix inequality Linear programming Linear regression Loss function Margin classifier Markov chain Markov decision process Mathematical optimization Max-plus algebra Maxima and minima Multivariate normal distribution NP-hardness Norm (mathematics) Normal distribution Optimal control Optimization problem Orientability P versus NP problem Pairwise Parameter Parametric family Probability distribution Probability Proportionality (mathematics) Quantity Random variable Relative interior Robust control Robust decision-making Robust optimization Semi-infinite Sensitivity analysis Simple set Singular value Skew-symmetric matrix Slack variable Special case Spherical model Spline (mathematics) State variable Stochastic calculus Stochastic control Stochastic optimization Stochastic programming Stochastic Strong duality Support vector machine Theorem Time complexity Uncertainty Uniform distribution (discrete) Unimodality Upper and lower bounds Variable (mathematics) Virtual displacement Weak duality Wiener filter With high probability Without loss of generality |
| ISBN |
1-282-25928-8
9786612259289 1-4008-3105-9 |
| Classificazione | SK 870 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Part I. Robust Linear Optimization -- Chapter One. Uncertain Linear Optimization Problems and their Robust Counterparts -- Chapter Two. Robust Counterpart Approximations of Scalar Chance Constraints -- Chapter Three. Globalized Robust Counterparts of Uncertain LO Problems -- Chapter Four. More on Safe Tractable Approximations of Scalar Chance Constraints -- Part II. Robust Conic Optimization -- Chapter Five. Uncertain Conic Optimization: The Concepts -- Chapter Six. Uncertain Conic Quadratic Problems with Tractable RCs -- Chapter Seven. Approximating RCs of Uncertain Conic Quadratic Problems -- Chapter Eight. Uncertain Semidefinite Problems with Tractable RCs -- Chapter Nine. Approximating RCs of Uncertain Semidefinite Problems -- Chapter Ten. Approximating Chance Constrained CQIs and LMIs -- Chapter Eleven. Globalized Robust Counterparts of Uncertain Conic Problems -- Chapter Twelve. Robust Classi¯cation and Estimation -- Part III. Robust Multi-Stage Optimization -- Chapter Thirteen. Robust Markov Decision Processes -- Chapter Fourteen. Robust Adjustable Multistage Optimization -- Part IV. Selected Applications -- Chapter Fifteen. Selected Applications -- Appendix A: Notation and Prerequisites -- Appendix B: Some Auxiliary Proofs -- Appendix C: Solutions to Selected Exercises -- Bibliography -- Index |
| Record Nr. | UNINA-9910778219003321 |
|
Ben-Tal A
|
||
| Princeton, NJ, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Robust optimization / / Aharon Ben-Tal, Laurent El Ghaoui, Arkadi Nemirovski
| Robust optimization / / Aharon Ben-Tal, Laurent El Ghaoui, Arkadi Nemirovski |
| Autore | Ben-Tal A |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (565 p.) |
| Disciplina | 519.6 |
| Altri autori (Persone) |
El GhaouiLaurent
NemirovskiĭArkadiĭ Semenovich |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Robust optimization
Linear programming |
| Soggetto non controllato |
0O
Accuracy and precision Additive model Almost surely Approximation algorithm Approximation Best, worst and average case Bifurcation theory Big O notation Candidate solution Central limit theorem Chaos theory Coefficient Computational complexity theory Constrained optimization Convex hull Convex optimization Convex set Cumulative distribution function Curse of dimensionality Decision problem Decision rule Degeneracy (mathematics) Diagram (category theory) Duality (optimization) Dynamic programming Exponential function Feasible region Floor and ceiling functions For All Practical Purposes Free product Ideal solution Identity matrix Inequality (mathematics) Infimum and supremum Integer programming Law of large numbers Likelihood-ratio test Linear dynamical system Linear inequality Linear map Linear matrix inequality Linear programming Linear regression Loss function Margin classifier Markov chain Markov decision process Mathematical optimization Max-plus algebra Maxima and minima Multivariate normal distribution NP-hardness Norm (mathematics) Normal distribution Optimal control Optimization problem Orientability P versus NP problem Pairwise Parameter Parametric family Probability distribution Probability Proportionality (mathematics) Quantity Random variable Relative interior Robust control Robust decision-making Robust optimization Semi-infinite Sensitivity analysis Simple set Singular value Skew-symmetric matrix Slack variable Special case Spherical model Spline (mathematics) State variable Stochastic calculus Stochastic control Stochastic optimization Stochastic programming Stochastic Strong duality Support vector machine Theorem Time complexity Uncertainty Uniform distribution (discrete) Unimodality Upper and lower bounds Variable (mathematics) Virtual displacement Weak duality Wiener filter With high probability Without loss of generality |
| ISBN |
1-282-25928-8
9786612259289 1-4008-3105-9 |
| Classificazione | SK 870 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Part I. Robust Linear Optimization -- Chapter One. Uncertain Linear Optimization Problems and their Robust Counterparts -- Chapter Two. Robust Counterpart Approximations of Scalar Chance Constraints -- Chapter Three. Globalized Robust Counterparts of Uncertain LO Problems -- Chapter Four. More on Safe Tractable Approximations of Scalar Chance Constraints -- Part II. Robust Conic Optimization -- Chapter Five. Uncertain Conic Optimization: The Concepts -- Chapter Six. Uncertain Conic Quadratic Problems with Tractable RCs -- Chapter Seven. Approximating RCs of Uncertain Conic Quadratic Problems -- Chapter Eight. Uncertain Semidefinite Problems with Tractable RCs -- Chapter Nine. Approximating RCs of Uncertain Semidefinite Problems -- Chapter Ten. Approximating Chance Constrained CQIs and LMIs -- Chapter Eleven. Globalized Robust Counterparts of Uncertain Conic Problems -- Chapter Twelve. Robust Classi¯cation and Estimation -- Part III. Robust Multi-Stage Optimization -- Chapter Thirteen. Robust Markov Decision Processes -- Chapter Fourteen. Robust Adjustable Multistage Optimization -- Part IV. Selected Applications -- Chapter Fifteen. Selected Applications -- Appendix A: Notation and Prerequisites -- Appendix B: Some Auxiliary Proofs -- Appendix C: Solutions to Selected Exercises -- Bibliography -- Index |
| Record Nr. | UNINA-9910813421503321 |
|
Ben-Tal A
|
||
| Princeton, NJ, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||