Distributed control of robotic networks [[electronic resource] ] : a mathematical approach to motion coordination algorithms / / Francesco Bullo, Jorge Cortés, Sonia Martínez |
Autore | Bullo Francesco |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, 2009 |
Descrizione fisica | 1 online resource (333 p.) |
Disciplina | 629.8/9246 |
Altri autori (Persone) |
CortésJorge <1974->
MartínezSonia <1974-> |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Robotics
Computer algorithms Robots - Control systems |
Soggetto non controllato |
1-center problem
Adjacency matrix Aggregate function Algebraic connectivity Algebraic topology (object) Algorithm Analysis of algorithms Approximation algorithm Asynchronous system Bellman–Ford algorithm Bifurcation theory Bounded set (topological vector space) Calculation Cartesian product Centroid Chebyshev center Circulant matrix Circumscribed circle Cluster analysis Combinatorial optimization Combinatorics Communication complexity Computation Computational complexity theory Computational geometry Computational model Computer simulation Computer vision Connected component (graph theory) Connectivity (graph theory) Consensus (computer science) Control function (econometrics) Differentiable function Dijkstra's algorithm Dimensional analysis Directed acyclic graph Directed graph Discrete time and continuous time Disk (mathematics) Distributed algorithm Doubly stochastic matrix Dynamical system Eigenvalues and eigenvectors Estimation Euclidean space Function composition Hybrid system Information theory Initial condition Instance (computer science) Invariance principle (linguistics) Invertible matrix Iteration Iterative method Kinematics Laplacian matrix Leader election Linear dynamical system Linear interpolation Linear programming Lipschitz continuity Lyapunov function Markov chain Mathematical induction Mathematical optimization Mobile robot Motion planning Multi-agent system Network model Network topology Norm (mathematics) Numerical integration Optimal control Optimization problem Parameter (computer programming) Partition of a set Percolation theory Permutation matrix Polytope Proportionality (mathematics) Quantifier (logic) Quantization (signal processing) Robustness (computer science) Scientific notation Sensor Set (mathematics) Simply connected space Simulation Simultaneous equations State space State variable Stochastic matrix Stochastic Strongly connected component Synchronous network Theorem Time complexity Topology Variable (mathematics) Vector field |
ISBN |
1-68015-897-X
1-282-45820-5 1-282-93575-5 9786612458200 9786612935756 1-4008-3147-4 0-691-14195-9 |
Classificazione | SK 880 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. An introduction to distributed algorithms -- Chapter Two. Geometric models and optimization -- Chapter Three. Robotic network models and complexity notions -- Chapter Four. Connectivity maintenance and rendezvous -- Chapter Five. Deployment -- Chapter Six. Boundary estimation and tracking -- Bibliography -- Algorithm Index -- Subject Index -- Symbol Index |
Record Nr. | UNINA-9910781069103321 |
Bullo Francesco | ||
Princeton, NJ, : Princeton University Press, 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Markov processes from K. Itô's perspective / / Daniel W. Stroock |
Autore | Stroock Daniel W. |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 |
Descrizione fisica | 1 online resource (289 p.) |
Disciplina | 519.2/33 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Markov processes
Stochastic difference equations |
Soggetto non controllato |
Abelian group
Addition Analytic function Approximation Bernhard Riemann Bounded variation Brownian motion Central limit theorem Change of variables Coefficient Complete metric space Compound Poisson process Continuous function (set theory) Continuous function Convergence of measures Convex function Coordinate system Corollary David Hilbert Decomposition theorem Degeneracy (mathematics) Derivative Diffeomorphism Differentiable function Differentiable manifold Differential equation Differential geometry Dimension Directional derivative Doob–Meyer decomposition theorem Duality principle Elliptic operator Equation Euclidean space Existential quantification Fourier transform Function space Functional analysis Fundamental solution Fundamental theorem of calculus Homeomorphism Hölder's inequality Initial condition Integral curve Integral equation Integration by parts Invariant measure Itô calculus Itô's lemma Joint probability distribution Lebesgue measure Linear interpolation Lipschitz continuity Local martingale Logarithm Markov chain Markov process Markov property Martingale (probability theory) Normal distribution Ordinary differential equation Ornstein–Uhlenbeck process Polynomial Principal part Probability measure Probability space Probability theory Pseudo-differential operator Radon–Nikodym theorem Representation theorem Riemann integral Riemann sum Riemann–Stieltjes integral Scientific notation Semimartingale Sign (mathematics) Special case Spectral sequence Spectral theory State space State-space representation Step function Stochastic calculus Stochastic Stratonovich integral Submanifold Support (mathematics) Tangent space Tangent vector Taylor's theorem Theorem Theory Topological space Topology Translational symmetry Uniform convergence Variable (mathematics) Vector field Weak convergence (Hilbert space) Weak topology |
ISBN |
0-691-11542-7
1-4008-3557-7 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Finite State Space, a Trial Run -- Chapter 2. Moving to Euclidean Space, the Real Thing -- Chapter 3. Itô's Approach in the Euclidean Setting -- Chapter 4. Further Considerations -- Chapter 5. Itô's Theory of Stochastic Integration -- Chapter 6. Applications of Stochastic Integration to Brownian Motion -- Chapter 7. The Kunita-Watanabe Extension -- Chapter 8. Stratonovich's Theory -- Notation -- References -- Index |
Record Nr. | UNINA-9910791958803321 |
Stroock Daniel W. | ||
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Markov processes from K. Itô's perspective / / Daniel W. Stroock |
Autore | Stroock Daniel W. |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 |
Descrizione fisica | 1 online resource (289 p.) |
Disciplina | 519.2/33 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Markov processes
Stochastic difference equations |
Soggetto non controllato |
Abelian group
Addition Analytic function Approximation Bernhard Riemann Bounded variation Brownian motion Central limit theorem Change of variables Coefficient Complete metric space Compound Poisson process Continuous function (set theory) Continuous function Convergence of measures Convex function Coordinate system Corollary David Hilbert Decomposition theorem Degeneracy (mathematics) Derivative Diffeomorphism Differentiable function Differentiable manifold Differential equation Differential geometry Dimension Directional derivative Doob–Meyer decomposition theorem Duality principle Elliptic operator Equation Euclidean space Existential quantification Fourier transform Function space Functional analysis Fundamental solution Fundamental theorem of calculus Homeomorphism Hölder's inequality Initial condition Integral curve Integral equation Integration by parts Invariant measure Itô calculus Itô's lemma Joint probability distribution Lebesgue measure Linear interpolation Lipschitz continuity Local martingale Logarithm Markov chain Markov process Markov property Martingale (probability theory) Normal distribution Ordinary differential equation Ornstein–Uhlenbeck process Polynomial Principal part Probability measure Probability space Probability theory Pseudo-differential operator Radon–Nikodym theorem Representation theorem Riemann integral Riemann sum Riemann–Stieltjes integral Scientific notation Semimartingale Sign (mathematics) Special case Spectral sequence Spectral theory State space State-space representation Step function Stochastic calculus Stochastic Stratonovich integral Submanifold Support (mathematics) Tangent space Tangent vector Taylor's theorem Theorem Theory Topological space Topology Translational symmetry Uniform convergence Variable (mathematics) Vector field Weak convergence (Hilbert space) Weak topology |
ISBN |
0-691-11542-7
1-4008-3557-7 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Finite State Space, a Trial Run -- Chapter 2. Moving to Euclidean Space, the Real Thing -- Chapter 3. Itô's Approach in the Euclidean Setting -- Chapter 4. Further Considerations -- Chapter 5. Itô's Theory of Stochastic Integration -- Chapter 6. Applications of Stochastic Integration to Brownian Motion -- Chapter 7. The Kunita-Watanabe Extension -- Chapter 8. Stratonovich's Theory -- Notation -- References -- Index |
Record Nr. | UNINA-9910809577703321 |
Stroock Daniel W. | ||
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|