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Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt
| Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt |
| Autore | Mesbahi Mehran |
| Edizione | [STU student edition] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2010] |
| Descrizione fisica | 1 online resource (424 pages) |
| Disciplina | 006.3 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Network analysis (Planning) - Graphic methods
Multiagent systems - Mathematical models |
| Soggetto non controllato |
Addition
Adjacency matrix Algebraic graph theory Algorithm Automorphism Bipartite graph Cardinality Cartesian product Circulant graph Combinatorics Complete graph Computation Connectivity (graph theory) Controllability Convex combination Corollary Cycle graph (algebra) Cycle space Degree (graph theory) Degree matrix Diagonal matrix Diameter Differentiable function Dimension Directed graph Division by zero Dynamical system Eigenvalues and eigenvectors Equilibrium point Estimation Estimator Existential quantification Extremal graph theory Graph (discrete mathematics) Graph theory Identity matrix Incidence matrix Information exchange Initial condition Interconnection Iteration Kalman filter Kronecker product LTI system theory LaSalle's invariance principle Laplacian matrix Least squares Line graph Linear map Lipschitz continuity Lyapunov function Lyapunov stability Markov chain Mathematical optimization Matrix exponential Measurement Multi-agent system Nash equilibrium Natural number Network topology Nonnegative matrix Notation Observability Optimal control Optimization problem Pairwise Parameter Path graph Permutation matrix Permutation Positive semidefinite Positive-definite matrix Probability Quantity Random graph Random variable Rate of convergence Requirement Result Robotics Scientific notation Sensor Sign (mathematics) Simplicial complex Special case Spectral graph theory Stochastic matrix Strongly connected component Subset Summation Supergraph Symmetric matrix Systems theory Theorem Theory Unit interval Upper and lower bounds Variable (mathematics) Vector space Without loss of generality |
| ISBN |
9781400835355 (electronic book)
1-282-97910-8 9786612979101 1-4008-3535-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Notation -- PART 1. FOUNDATIONS -- Chapter 1. Introduction -- Chapter 2. Graph Theory -- Chapter 3. The Agreement Protocol: Part I-The Static Case -- Chapter 4. The Agreement Protocol: Part II-Lyapunov and LaSalle -- Chapter 5. Probabilistic Analysis of Networks and Protocols -- PART 2. MULTIAGENT NETWORKS -- Chapter 6. Formation Control -- Chapter 7. Mobile Robots -- Chapter 8. Distributed Estimation -- Chapter 9. Social Networks, Epidemics, and Games -- PART 3. NETWORKS AS SYSTEMS -- Chapter 10. Agreement with Inputs and Outputs -- Chapter 11. Synthesis of Networks -- Chapter 12. Dynamic Graph Processes -- Chapter 13. Higher-order Networks -- Appendix A. -- Bibliography -- Index |
| Record Nr. | UNINA-9910785659103321 |
Mesbahi Mehran
|
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| Princeton : , : Princeton University Press, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt
| Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt |
| Autore | Mesbahi Mehran |
| Edizione | [STU student edition] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2010] |
| Descrizione fisica | 1 online resource (424 pages) |
| Disciplina | 006.3 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Network analysis (Planning) - Graphic methods
Multiagent systems - Mathematical models |
| Soggetto non controllato |
Addition
Adjacency matrix Algebraic graph theory Algorithm Automorphism Bipartite graph Cardinality Cartesian product Circulant graph Combinatorics Complete graph Computation Connectivity (graph theory) Controllability Convex combination Corollary Cycle graph (algebra) Cycle space Degree (graph theory) Degree matrix Diagonal matrix Diameter Differentiable function Dimension Directed graph Division by zero Dynamical system Eigenvalues and eigenvectors Equilibrium point Estimation Estimator Existential quantification Extremal graph theory Graph (discrete mathematics) Graph theory Identity matrix Incidence matrix Information exchange Initial condition Interconnection Iteration Kalman filter Kronecker product LTI system theory LaSalle's invariance principle Laplacian matrix Least squares Line graph Linear map Lipschitz continuity Lyapunov function Lyapunov stability Markov chain Mathematical optimization Matrix exponential Measurement Multi-agent system Nash equilibrium Natural number Network topology Nonnegative matrix Notation Observability Optimal control Optimization problem Pairwise Parameter Path graph Permutation matrix Permutation Positive semidefinite Positive-definite matrix Probability Quantity Random graph Random variable Rate of convergence Requirement Result Robotics Scientific notation Sensor Sign (mathematics) Simplicial complex Special case Spectral graph theory Stochastic matrix Strongly connected component Subset Summation Supergraph Symmetric matrix Systems theory Theorem Theory Unit interval Upper and lower bounds Variable (mathematics) Vector space Without loss of generality |
| ISBN |
9781400835355 (electronic book)
1-282-97910-8 9786612979101 1-4008-3535-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Notation -- PART 1. FOUNDATIONS -- Chapter 1. Introduction -- Chapter 2. Graph Theory -- Chapter 3. The Agreement Protocol: Part I-The Static Case -- Chapter 4. The Agreement Protocol: Part II-Lyapunov and LaSalle -- Chapter 5. Probabilistic Analysis of Networks and Protocols -- PART 2. MULTIAGENT NETWORKS -- Chapter 6. Formation Control -- Chapter 7. Mobile Robots -- Chapter 8. Distributed Estimation -- Chapter 9. Social Networks, Epidemics, and Games -- PART 3. NETWORKS AS SYSTEMS -- Chapter 10. Agreement with Inputs and Outputs -- Chapter 11. Synthesis of Networks -- Chapter 12. Dynamic Graph Processes -- Chapter 13. Higher-order Networks -- Appendix A. -- Bibliography -- Index |
| Record Nr. | UNINA-9910816716403321 |
|
Mesbahi Mehran
|
||
| Princeton : , : Princeton University Press, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Positive definite matrices [[electronic resource] /] / Rajendra Bhatia
| Positive definite matrices [[electronic resource] /] / Rajendra Bhatia |
| Autore | Bhatia Rajendra <1952-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2007 |
| Descrizione fisica | 1 online resource (265 p.) |
| Disciplina | 512.9/434 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico | Matrices |
| Soggetto non controllato |
Addition
Analytic continuation Arithmetic mean Banach space Binomial theorem Block matrix Bochner's theorem Calculation Cauchy matrix Cauchy–Schwarz inequality Characteristic polynomial Coefficient Commutative property Compact space Completely positive map Complex number Computation Continuous function Convex combination Convex function Convex set Corollary Density matrix Diagonal matrix Differential geometry Eigenvalues and eigenvectors Equation Equivalence relation Existential quantification Extreme point Fourier transform Functional analysis Fundamental theorem G. H. Hardy Gamma function Geometric mean Geometry Hadamard product (matrices) Hahn–Banach theorem Harmonic analysis Hermitian matrix Hilbert space Hyperbolic function Infimum and supremum Infinite divisibility (probability) Invertible matrix Lecture Linear algebra Linear map Logarithm Logarithmic mean Mathematics Matrix (mathematics) Matrix analysis Matrix unit Metric space Monotonic function Natural number Open set Operator algebra Operator system Orthonormal basis Partial trace Positive definiteness Positive element Positive map Positive semidefinite Positive-definite function Positive-definite matrix Probability measure Probability Projection (linear algebra) Quantity Quantum computing Quantum information Quantum statistical mechanics Real number Riccati equation Riemannian geometry Riemannian manifold Riesz representation theorem Right half-plane Schur complement Schur's theorem Scientific notation Self-adjoint operator Sign (mathematics) Special case Spectral theorem Square root Standard basis Summation Tensor product Theorem Toeplitz matrix Unit vector Unitary matrix Unitary operator Upper half-plane Variable (mathematics) |
| ISBN |
1-282-12974-0
9786612129742 1-4008-2778-7 |
| Classificazione | SK 220 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- Notation |
| Record Nr. | UNINA-9910777727303321 |
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Bhatia Rajendra <1952->
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| Princeton, N.J., : Princeton University Press, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms / / Jiming Peng, Cornelis Roos, Tamás Terlaky
| Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms / / Jiming Peng, Cornelis Roos, Tamás Terlaky |
| Autore | Peng Jiming |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2009] |
| Descrizione fisica | 1 online resource (201 p.) |
| Disciplina | 519.6 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Interior-point methods
Mathematical optimization Programming (Mathematics) Civil & Environmental Engineering Engineering & Applied Sciences Operations Research |
| Soggetto non controllato |
Accuracy and precision
Algorithm Analysis of algorithms Analytic function Associative property Barrier function Binary number Block matrix Combination Combinatorial optimization Combinatorics Complexity Conic optimization Continuous optimization Control theory Convex optimization Delft University of Technology Derivative Differentiable function Directional derivative Division by zero Dual space Duality (mathematics) Duality gap Eigenvalues and eigenvectors Embedding Equation Estimation Existential quantification Explanation Feasible region Filter design Function (mathematics) Implementation Instance (computer science) Invertible matrix Iteration Jacobian matrix and determinant Jordan algebra Karmarkar's algorithm Karush–Kuhn–Tucker conditions Line search Linear complementarity problem Linear function Linear programming Lipschitz continuity Local convergence Loss function Mathematical optimization Mathematician Mathematics Matrix function McMaster University Monograph Multiplication operator Newton's method Nonlinear programming Nonlinear system Notation Operations research Optimal control Optimization problem Parameter (computer programming) Parameter Pattern recognition Polyhedron Polynomial Positive semidefinite Positive-definite matrix Quadratic function Requirement Result Scientific notation Second derivative Self-concordant function Sensitivity analysis Sign (mathematics) Signal processing Simplex algorithm Simultaneous equations Singular value Smoothness Solution set Solver Special case Subset Suggestion Technical report Theorem Theory Time complexity Two-dimensional space Upper and lower bounds Variable (computer science) Variable (mathematics) Variational inequality Variational principle Without loss of generality Worst-case complexity Yurii Nesterov |
| ISBN |
1-282-08760-6
9786612087608 1-4008-2513-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgments -- Notation -- List of Abbreviations -- Chapter 1. Introduction and Preliminaries -- Chapter 2. Self-Regular Functions and Their Properties -- Chapter 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities -- Chapter 4. Interior-Point Methods for Complementarity Problems Based on Self- Regular Proximities -- Chapter 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities -- Chapter 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities -- Chapter 7. Initialization: Embedding Models for Linear Optimization, Complementarity Problems, Semidefinite Optimization and Second-Order Conic Optimization -- Chapter 8. Conclusions -- References -- Index |
| Record Nr. | UNINA-9910777727403321 |
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Peng Jiming
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| Princeton, NJ : , : Princeton University Press, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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