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] | ||
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Lo trovi qui: Univ. Federico II | ||
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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
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Princeton : , : Princeton University Press, , [2010] | ||
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Lo trovi qui: Univ. Federico II | ||
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Impulsive and hybrid dynamical systems : stability, dissipativity, and control / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov |
Autore | Haddad Wassim M. <1961-> |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
Descrizione fisica | 1 online resource (522 p.) |
Disciplina | 003/.85 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Automatic control
Control theory Dynamics Discrete-time systems |
Soggetto non controllato |
Actuator
Adaptive control Algorithm Amplitude Analog computer Arbitrarily large Asymptote Asymptotic analysis Axiom Balance equation Bode plot Boundedness Calculation Center of mass (relativistic) Coefficient of restitution Continuous function Control theory Convex set Differentiable function Differential equation Dissipation Dissipative system Dynamical system Dynamical systems theory Energy Equations of motion Equilibrium point Escapement Euler–Lagrange equation Exponential stability Forms of energy Hamiltonian mechanics Hamiltonian system Hermitian matrix Hooke's law Hybrid system Identity matrix Inequality (mathematics) Infimum and supremum Initial condition Instability Interconnection Invariance theorem Isolated system Iterative method Jacobian matrix and determinant Lagrangian (field theory) Lagrangian system Lagrangian Likelihood-ratio test Limit cycle Limit set Linear function Linearization Lipschitz continuity Lyapunov function Lyapunov stability Mass balance Mathematical optimization Melting Mixture Moment of inertia Momentum Monotonic function Negative feedback Nonlinear programming Nonlinear system Nonnegative matrix Optimal control Ordinary differential equation Orthant Parameter Partial differential equation Passive dynamics Poincaré conjecture Potential energy Proof mass Quantity Rate function Requirement Robust control Second law of thermodynamics Semi-infinite Small-gain theorem Special case Spectral radius Stability theory State space Stiffness Supply (economics) Telecommunication Theorem Transpose Uncertainty Uniform boundedness Uniqueness Vector field Vibration Zeroth (software) Zeroth law of thermodynamics |
ISBN | 1-4008-6524-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Stability Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Three. Dissipativity Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Four. Impulsive Nonnegative and Compartmental Dynamical Systems -- Chapter Five. Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems -- Chapter Six. Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems -- Chapter Seven. Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems -- Chapter Nine. Optimal Control for Impulsive Dynamical Systems -- Chapter Ten. Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems -- Chapter Eleven. Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems -- Chapter Twelve. Hybrid Dynamical Systems -- Chapter Thirteen. Poincare Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems -- Appendix A. System Functions for the Clock Escapement Mechanism -- Bibliography -- Index |
Record Nr. | UNINA-9910786749303321 |
Haddad Wassim M. <1961->
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Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
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Lo trovi qui: Univ. Federico II | ||
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Impulsive and hybrid dynamical systems : stability, dissipativity, and control / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov |
Autore | Haddad Wassim M. <1961-> |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
Descrizione fisica | 1 online resource (522 p.) |
Disciplina | 003/.85 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Automatic control
Control theory Dynamics Discrete-time systems |
Soggetto non controllato |
Actuator
Adaptive control Algorithm Amplitude Analog computer Arbitrarily large Asymptote Asymptotic analysis Axiom Balance equation Bode plot Boundedness Calculation Center of mass (relativistic) Coefficient of restitution Continuous function Control theory Convex set Differentiable function Differential equation Dissipation Dissipative system Dynamical system Dynamical systems theory Energy Equations of motion Equilibrium point Escapement Euler–Lagrange equation Exponential stability Forms of energy Hamiltonian mechanics Hamiltonian system Hermitian matrix Hooke's law Hybrid system Identity matrix Inequality (mathematics) Infimum and supremum Initial condition Instability Interconnection Invariance theorem Isolated system Iterative method Jacobian matrix and determinant Lagrangian (field theory) Lagrangian system Lagrangian Likelihood-ratio test Limit cycle Limit set Linear function Linearization Lipschitz continuity Lyapunov function Lyapunov stability Mass balance Mathematical optimization Melting Mixture Moment of inertia Momentum Monotonic function Negative feedback Nonlinear programming Nonlinear system Nonnegative matrix Optimal control Ordinary differential equation Orthant Parameter Partial differential equation Passive dynamics Poincaré conjecture Potential energy Proof mass Quantity Rate function Requirement Robust control Second law of thermodynamics Semi-infinite Small-gain theorem Special case Spectral radius Stability theory State space Stiffness Supply (economics) Telecommunication Theorem Transpose Uncertainty Uniform boundedness Uniqueness Vector field Vibration Zeroth (software) Zeroth law of thermodynamics |
ISBN | 1-4008-6524-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Stability Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Three. Dissipativity Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Four. Impulsive Nonnegative and Compartmental Dynamical Systems -- Chapter Five. Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems -- Chapter Six. Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems -- Chapter Seven. Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems -- Chapter Nine. Optimal Control for Impulsive Dynamical Systems -- Chapter Ten. Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems -- Chapter Eleven. Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems -- Chapter Twelve. Hybrid Dynamical Systems -- Chapter Thirteen. Poincare Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems -- Appendix A. System Functions for the Clock Escapement Mechanism -- Bibliography -- Index |
Record Nr. | UNINA-9910812330303321 |
Haddad Wassim M. <1961->
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Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
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Lo trovi qui: Univ. Federico II | ||
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Linear Inequalities and Related Systems. (AM-38), Volume 38 / / Harold William Kuhn, Albert William Tucker |
Autore | Kuhn Harold William |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (353 pages) : illustrations, tables |
Disciplina | 512.89 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Linear programming
Matrices Game theory |
Soggetto non controllato |
Banach space
Basic solution (linear programming) Big O notation Bilinear form Boundary (topology) Brouwer fixed-point theorem Characterization (mathematics) Coefficient Combination Computation Computational problem Convex combination Convex cone Convex hull Convex set Corollary Correlation and dependence Cramer's rule Cyclic permutation Dedekind cut Degeneracy (mathematics) Determinant Diagram (category theory) Dilworth's theorem Dimension (vector space) Directional derivative Disjoint sets Doubly stochastic matrix Dual space Duality (mathematics) Duality (optimization) Eigenvalues and eigenvectors Elementary proof Equation solving Equation Equivalence class Euclidean space Existence theorem Existential quantification Extreme point Fixed-point theorem Functional analysis Fundamental theorem General equilibrium theory Hall's theorem Hilbert space Incidence matrix Inequality (mathematics) Infimum and supremum Invertible matrix Kakutani fixed-point theorem Lagrange multiplier Linear equation Linear inequality Linear map Linear programming Linear space (geometry) Linear subspace Loss function Main diagonal Mathematical induction Mathematical optimization Mathematical problem Max-flow min-cut theorem Maxima and minima Maximal set Maximum flow problem Menger's theorem Minor (linear algebra) Monotonic function N-vector Nonlinear programming Nonnegative matrix Parity (mathematics) Partially ordered set Permutation matrix Permutation Polyhedron Quantity Representation theorem Row and column vectors Scientific notation Sensitivity analysis Set notation Sign (mathematics) Simplex algorithm Simultaneous equations Solution set Special case Subset Summation System of linear equations Theorem Transpose Unit sphere Unit vector Upper and lower bounds Variable (mathematics) Vector space Von Neumann's theorem |
ISBN | 1-4008-8198-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- 1 . Dual Systems of Homogeneous Linear Relations / Tucker, A. W. -- 2. Polyhedral Convex Cones / Goldman, A. J. / Tucker, A. W. -- 3 . Resolution and Separation Theorems for Polyhedral Convex Sets / Goldman, A. J. -- 4. Theory of Linear Programming / Goldman, A. J. / Tucker, A. W. -- 5. On Systems of Linear Inequalities / Pan, Ky -- 6. Infinite Programs / Duffin, R . J . -- 7* A Primal-Dual Algorithm for Linear Programs / Dantzig, G. B. / Ford, L. R. / Fulkerson, D. R. -- 8. Marginal Values of Matrix Games and Linear Programs / Mills, Harlan D. -- 9 . Determinateness of Polyhedral Games / Wolfe, Philip -- 10. On Systems of Distinct Representatives / Hoffman, A. J. / Kuhn, H. W. -- 11. Dilworth's Theorem on Partially Ordered Sets / Dantzig, G. B. / Hoffman, A. J. -- 12. On the Max-Flow Min-Cut Theorem of Networks / Dantzig, G. B. / Fulkerson, D. R. -- 13. Integral Boundary Points of Convex Polyhedra / Hoffman, A. J. / Kruskal, J. B. -- 14 . An Extension of a Theorem of Dantzig's / Heller, I. / Tompkins, C. B. -- 15. Neighboring Vertices on a Convex Polyhedron / Gale, David -- 16. On a Theorem of Wald / Kuhn, H. W. -- 17. On the Solution of a Game-Theoretic Problem / Thompson, Gerald L. -- 18. The Closed Linear Model of Production / Gale, David -- Bibliography -- Backmatter |
Record Nr. | UNINA-9910154749603321 |
Kuhn Harold William
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Non-negative Matrices and Markov Chains / E. Seneta |
Autore | Seneta, Eugene |
Edizione | [2. ed] |
Pubbl/distr/stampa | New York, : Springer-Verlag, 1981 |
Descrizione fisica | xv, 281 p. : ill. ; 24 cm |
Soggetto non controllato |
Ergodicity
Markov Chains Mathematical statistics Matrices Nonnegative matrix Statistics |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0268410 |
Seneta, Eugene
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New York, : Springer-Verlag, 1981 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Stationary Processes and Prediction Theory. (AM-44), Volume 44 / / Harry Furstenberg |
Autore | Furstenberg Harry |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (300 pages) |
Disciplina | 519 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Stochastic processes
Mathematical statistics |
Soggetto non controllato |
Abelian group
Adjoint equation Almost periodic function Almost surely Automorphism C*-algebra Cartesian product Character group Characteristic function (probability theory) Coefficient Commutative property Complex number Conditional expectation Conditional probability Continuous function (set theory) Continuous function Corollary Coset Counterexample Degeneracy (mathematics) Dimension (vector space) Dimensional analysis Distribution function Eigenvalues and eigenvectors Endomorphism Equation Equivalence class Equivalence relation Ergodic process Ergodic sequence Ergodic theory Ergodicity Error term Estimation Euclidean space Eventually (mathematics) Existence theorem Existential quantification Expectation value (quantum mechanics) Extrapolation Fourier series Fubini's theorem Function (mathematics) Function composition Functional equation Generic point Harmonic analysis Hilbert space Homeomorphism Homomorphism Identity element Independence (probability theory) Inverse function Invertible matrix Least squares Lebesgue measure Limit (mathematics) Linear combination Linear map Linear prediction Linear space (geometry) Markov chain Metric space Nonlinear system Nonnegative matrix Normed algebra Parameter Periodic sequence Pointwise Predictability Prediction Probability distribution Probability measure Probability space Probability Quotient space (topology) Random sequence Random variable Regular sequence Sample space Semigroup Sequence space Sequence Shift operator Sign (mathematics) Special case Stationary process Stochastic process Stochastic Subalgebra Subgroup Subsequence Subset Theorem Time series Topology Uniform convergence Variable (mathematics) Weak topology Zorn's lemma |
ISBN | 1-4008-8160-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- ACKNOWLEDGEMENTS -- CONTENTS -- INTRODUCTION -- CHAPTER 1 . STOCHASTIC PROCESSES AND STOCHASTIC SEQUENCES -- CHAPTER 2. THE PREDICTION PROBLEMS FOR SEQUENCES -- CHAPTER 3. EXAMPLES AND COUNTEREXAMPLES -- CHAPTER 4 . SUBPROCESSES OP MARKOFF PROCESSES -- CHAPTER 5. STOCHASTIC SEMIGROUPS AND CONTINUOUS PREDICTABILITY -- CHAPTER 6. STATISTICAL PREDICTABILITY -- CHAPTER 7. INDUCTIVE FUNCTIONS -- CHAPTER 8. INDUCTIVE FUNCTIONS AND MARKOFF PROCESSES -- CHAPTER 9 . PROJECTIVE INDUCTIVE FUNCTIONS AND PREDICTION -- BIBLIOGRAPHY -- Backmatter |
Record Nr. | UNINA-9910154745803321 |
Furstenberg Harry
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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