2011, Mathematical surveys and monographs, ISBN 9780821868713, Volume 176, viii, 264

Book

2006, Universitext, ISBN 9783540328933, xvi, 298

This text deals with systems of polynomial autonomous ordinary differential equations in two real variables. Suited for a first course in dynamical systems, it...

Qualitative theory | Numerical solutions | Differential equations | Dynamical Systems and Ergodic Theory | Mathematics | Ordinary Differential Equations | Differentiable dynamical systems

Qualitative theory | Numerical solutions | Differential equations | Dynamical Systems and Ergodic Theory | Mathematics | Ordinary Differential Equations | Differentiable dynamical systems

Book

2012, ISBN 0691153892, xi, 212

Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a...

Nonlinear control theory | Lyapunov functions | Hybrid systems | Mathematics | Automatic control | Dynamics | Control theory

Nonlinear control theory | Lyapunov functions | Hybrid systems | Mathematics | Automatic control | Dynamics | Control theory

Book

2013, Graduate studies in mathematics, ISBN 0821898531, Volume 148., ix, 277

Book

IEEE Transactions on Automatic Control, ISSN 0018-9286, 05/2008, Volume 53, Issue 4, pp. 941 - 953

A framework of dissipativity theory for switched systems using multiple storage functions and multiple supply rates is set up. Each subsystem of a switched...

Automation | Australia Council | Laboratories | Dissipativity | Lyapunov method | Control systems | Switched systems | Asymptotic stability | L_2 -gain | passivity | Nonlinear systems | Output feedback | stability | Energy storage | Stability | L | Passivity | gain | switched systems | GLOBAL STABILIZATION | L-2-gain | DYNAMICAL-SYSTEMS | NONLINEAR-SYSTEMS | OUTPUT | dissipativity | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Evaluation | Dissipative systems | Design and construction | Energy dissipation | Studies | Asymptotic properties | Mathematical analysis | Dissipation | Inequalities

Automation | Australia Council | Laboratories | Dissipativity | Lyapunov method | Control systems | Switched systems | Asymptotic stability | L_2 -gain | passivity | Nonlinear systems | Output feedback | stability | Energy storage | Stability | L | Passivity | gain | switched systems | GLOBAL STABILIZATION | L-2-gain | DYNAMICAL-SYSTEMS | NONLINEAR-SYSTEMS | OUTPUT | dissipativity | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Evaluation | Dissipative systems | Design and construction | Energy dissipation | Studies | Asymptotic properties | Mathematical analysis | Dissipation | Inequalities

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2016, Volume 2016, Issue 8, pp. 1 - 17

We conjecture a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom. Chaos can be diagnosed using...

Black Holes | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Functions (mathematics) | Operators (mathematics) | Correlation | Degrees of freedom | Lyapunov exponents | Chaos theory | Mathematical analysis | Commutators | Quantum theory | Chaotic Dynamics | Nuclear and High Energy Physics | Condensed Matter - Statistical Mechanics | Nonlinear Sciences | High Energy Physics - Theory | Nonlinear Sciences - Chaotic Dynamics | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Black Holes | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Functions (mathematics) | Operators (mathematics) | Correlation | Degrees of freedom | Lyapunov exponents | Chaos theory | Mathematical analysis | Commutators | Quantum theory | Chaotic Dynamics | Nuclear and High Energy Physics | Condensed Matter - Statistical Mechanics | Nonlinear Sciences | High Energy Physics - Theory | Nonlinear Sciences - Chaotic Dynamics | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Journal Article

IET Control Theory and Applications, ISSN 1751-8644, 12/2010, Volume 4, Issue 12, pp. 2651 - 2671

This study presents a survey on quantum control theory and applications from a control systems perspective. Some of the basic concepts and main developments...

DECOHERENCE | FEEDBACK-CONTROL | DECOMPOSITION | LYAPUNOV CONTROL | ENGINEERING, ELECTRICAL & ELECTRONIC | H-INFINITY CONTROL | INSTRUMENTS & INSTRUMENTATION | MECHANICAL SYSTEMS | DYNAMICS | 2-LEVEL | INCOHERENT CONTROL | CONTROLLABILITY | AUTOMATION & CONTROL SYSTEMS

DECOHERENCE | FEEDBACK-CONTROL | DECOMPOSITION | LYAPUNOV CONTROL | ENGINEERING, ELECTRICAL & ELECTRONIC | H-INFINITY CONTROL | INSTRUMENTS & INSTRUMENTATION | MECHANICAL SYSTEMS | DYNAMICS | 2-LEVEL | INCOHERENT CONTROL | CONTROLLABILITY | AUTOMATION & CONTROL SYSTEMS

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2012, Volume 58, Issue 3, pp. 1677 - 1701

In this paper, a comprehensive survey is given on several major systematic approaches in dealing with delay-aware control problems, namely the equivalentrate...

Delay-aware resource control | Markov decision process (MDP) | Wireless networks | large deviation theory | Spread spectrum communication | stochastic learning | Aerospace electronics | Lyapunov stability | Throughput | Resource management | Delay | Optimization | QUALITY | APPROXIMATIONS | STABILITY | COMPUTER SCIENCE, INFORMATION SYSTEMS | ALGORITHMS | MIMO CHANNELS | ENGINEERING, ELECTRICAL & ELECTRONIC | QUEUING-NETWORKS | SERVICE | OPTIMIZATION | NETWORK UTILITY MAXIMIZATION | POWER ALLOCATION | Learning | Design engineering | Networks | Control systems | Drift | Stochasticity | Deviation | Information theory | Computer Science - Performance

Delay-aware resource control | Markov decision process (MDP) | Wireless networks | large deviation theory | Spread spectrum communication | stochastic learning | Aerospace electronics | Lyapunov stability | Throughput | Resource management | Delay | Optimization | QUALITY | APPROXIMATIONS | STABILITY | COMPUTER SCIENCE, INFORMATION SYSTEMS | ALGORITHMS | MIMO CHANNELS | ENGINEERING, ELECTRICAL & ELECTRONIC | QUEUING-NETWORKS | SERVICE | OPTIMIZATION | NETWORK UTILITY MAXIMIZATION | POWER ALLOCATION | Learning | Design engineering | Networks | Control systems | Drift | Stochasticity | Deviation | Information theory | Computer Science - Performance

Journal Article

IEEE Transactions on Automatic Control, ISSN 0018-9286, 03/2006, Volume 51, Issue 3, pp. 401 - 420

In this paper, we present a theoretical framework for design and analysis of distributed flocking algorithms. Two cases of flocking in free-space and presence...

Algorithm design and analysis | swarms | Heuristic algorithms | Peer to peer computing | Lyapunov method | mobile sensor networks | Consensus theory | self-organizing systems | Vehicle dynamics | dynamic graphs | Self-assembly | self-assembly of networks | Distributed control | Cost function | Unmanned aerial vehicles | networked autonomous vehicles | Biosensors | Mobile sensor networks | Self-organizing systems | Networked autonomous vehicles | Swarms | Dynamic graphs | Self-assembly of networks | distributed control | CONSENSUS | SCHOOLS | ENGINEERING, ELECTRICAL & ELECTRONIC | consensus theory | STABILITY ANALYSIS | FISH | AGENTS | AUTOMATION & CONTROL SYSTEMS | Control systems | Analysis | Studies | Algorithms | Obstacles | Dynamics | Deviation | Maneuvers | Dynamical systems | Construction costs

Algorithm design and analysis | swarms | Heuristic algorithms | Peer to peer computing | Lyapunov method | mobile sensor networks | Consensus theory | self-organizing systems | Vehicle dynamics | dynamic graphs | Self-assembly | self-assembly of networks | Distributed control | Cost function | Unmanned aerial vehicles | networked autonomous vehicles | Biosensors | Mobile sensor networks | Self-organizing systems | Networked autonomous vehicles | Swarms | Dynamic graphs | Self-assembly of networks | distributed control | CONSENSUS | SCHOOLS | ENGINEERING, ELECTRICAL & ELECTRONIC | consensus theory | STABILITY ANALYSIS | FISH | AGENTS | AUTOMATION & CONTROL SYSTEMS | Control systems | Analysis | Studies | Algorithms | Obstacles | Dynamics | Deviation | Maneuvers | Dynamical systems | Construction costs

Journal Article

IEEE Transactions on Automatic Control, ISSN 0018-9286, 01/2013, Volume 58, Issue 1, pp. 100 - 112

Zeno behavior is a dynamic phenomenon unique to hybrid systems in which an infinite number of discrete transitions occurs in a finite amount of time. This...

Asymptotic stability | Optimal control | Differential equations | Lyapunov method | Hybrid systems | Stability analysis | Vectors | Mechanical systems | stability | Lyapunov methods | mechanical systems | EQUILIBRIA | LAGRANGIAN HYBRID SYSTEMS | LINEAR COMPLEMENTARITY SYSTEMS | COMPLETION | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Liapunov functions | Usage | Series, Infinite | Innovations | Dynamical systems | Lagrangian functions | Simulation methods | Studies | Technological planning | Stability | Dynamics | Mathematical analysis | Automatic control | Mathematical models

Asymptotic stability | Optimal control | Differential equations | Lyapunov method | Hybrid systems | Stability analysis | Vectors | Mechanical systems | stability | Lyapunov methods | mechanical systems | EQUILIBRIA | LAGRANGIAN HYBRID SYSTEMS | LINEAR COMPLEMENTARITY SYSTEMS | COMPLETION | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Liapunov functions | Usage | Series, Infinite | Innovations | Dynamical systems | Lagrangian functions | Simulation methods | Studies | Technological planning | Stability | Dynamics | Mathematical analysis | Automatic control | Mathematical models

Journal Article

2014, 1st editon., ISBN 9543227500, 205

Book

Systems & Control Letters, ISSN 0167-6911, 03/2014, Volume 65, Issue 1, pp. 74 - 80

Contraction theory is a methodology for assessing the stability of trajectories of a dynamical system with respect to one another. In this work, we present the...

Incremental stability | Contraction theory | Nonlinear control | Differential geometric methods | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SYSTEMS | LYAPUNOV APPROACH | AUTOMATION & CONTROL SYSTEMS | Manifolds | Foundations | Stability | Dynamics | Control systems | Fields (mathematics) | Dynamical systems | Interconnections

Incremental stability | Contraction theory | Nonlinear control | Differential geometric methods | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SYSTEMS | LYAPUNOV APPROACH | AUTOMATION & CONTROL SYSTEMS | Manifolds | Foundations | Stability | Dynamics | Control systems | Fields (mathematics) | Dynamical systems | Interconnections

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 09/2016, Volume 287-288, pp. 161 - 170

We provide the main features of Lyapunov theory when it is formulated for fractional order systems. We give consistent extensions of Lyapunov, LaSalle and...

Lyapunov theory | Stability | Fractional order system | EQUATIONS | MATHEMATICS, APPLIED | Electrical engineering | Computation | Theorems | Mathematical models

Lyapunov theory | Stability | Fractional order system | EQUATIONS | MATHEMATICS, APPLIED | Electrical engineering | Computation | Theorems | Mathematical models

Journal Article

IEEE Transactions on Fuzzy Systems, ISSN 1063-6706, 08/2015, Volume 23, Issue 4, pp. 827 - 841

This paper is concerned with the stability analysis for Takagi-Sugeno (T-S) fuzzy control systems. By exploiting the property of the structure of a fuzzy...

Fuzzy control | Set theory | Stability analysis | Silicon | Engines | Lyapunov methods | Equivalence class | set theory | linear matrix inequalities (LMIs) | T-S fuzzy control systems | stability analysis | DESIGN | ACTIVE SUSPENSION | PERFORMANCE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | RELAXED STABILITY | ENGINEERING, ELECTRICAL & ELECTRONIC | H-INFINITY CONTROL | NONQUADRATIC STABILIZATION CONDITIONS | NONLINEAR-SYSTEMS | LMI CONDITIONS | DELAY | Fuzzy sets | Equivalence | Mathematical models | Fuzzy set theory | Criteria

Fuzzy control | Set theory | Stability analysis | Silicon | Engines | Lyapunov methods | Equivalence class | set theory | linear matrix inequalities (LMIs) | T-S fuzzy control systems | stability analysis | DESIGN | ACTIVE SUSPENSION | PERFORMANCE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | RELAXED STABILITY | ENGINEERING, ELECTRICAL & ELECTRONIC | H-INFINITY CONTROL | NONQUADRATIC STABILIZATION CONDITIONS | NONLINEAR-SYSTEMS | LMI CONDITIONS | DELAY | Fuzzy sets | Equivalence | Mathematical models | Fuzzy set theory | Criteria

Journal Article

1985, 2nd ed., ISBN 9780124355606, xv, 570

Book

2013, ISBN 1608462226, ix, 297

"With deep connections to high finance and a penchant for profanity, Rahm Emanuel became the mayor of Chicago and seized control of its notorious Democratic...

Emanuel, Rahm, 1959 | HISTORY / Social History | POLITICAL SCIENCE / Government / Local | Chicago (Ill.) Politics and government | POLITICAL SCIENCE / Government / General | Mayors

Emanuel, Rahm, 1959 | HISTORY / Social History | POLITICAL SCIENCE / Government / Local | Chicago (Ill.) Politics and government | POLITICAL SCIENCE / Government / General | Mayors

Book

Acta Mathematica, ISSN 0001-5962, 9/2015, Volume 215, Issue 1, pp. 1 - 54

We study SchrÃ¶dinger operators with a one-frequency analytic potential, focusing on the transition between the two distinct local regimes characteristic...

generic properties | Lyapunov exponents | symplectic diffeomorphisms | 37D30 | 37C20 | 37D20 | Mathematics, general | Mathematics | 37D25 | partial hyperbolicity | 37J10 | MATHEMATICS | LOCALIZATION | CONTINUITY | EQUATIONS | INTEGRATED DENSITY | SPECTRUM | POTENTIALS | QUASI-PERIODIC OPERATORS | COCYCLES | DENSITY-OF-STATES | LYAPUNOV EXPONENT

generic properties | Lyapunov exponents | symplectic diffeomorphisms | 37D30 | 37C20 | 37D20 | Mathematics, general | Mathematics | 37D25 | partial hyperbolicity | 37J10 | MATHEMATICS | LOCALIZATION | CONTINUITY | EQUATIONS | INTEGRATED DENSITY | SPECTRUM | POTENTIALS | QUASI-PERIODIC OPERATORS | COCYCLES | DENSITY-OF-STATES | LYAPUNOV EXPONENT

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2017, Volume 2017, Issue 3, pp. 1 - 47

One can obtain exact information about Virasoro conformal blocks by analytically continuing the correlators of degenerate operators. We argued in recent work...

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | REPRESENTATIONS | CONFORMAL SYMMETRY | ALGEBRA | SINGULAR VECTORS | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Operators | Lyapunov exponents | Computation | Chaos theory | Mathematical analysis | Texts | Correlators | Symmetry | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | 1/N expansion | conformal and W symmetry | AdS-CFT correspondence | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | Gauge Symmetry | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | Classical Theories of Gravity | Gauge-gravity correspondence | conformal field theory

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | REPRESENTATIONS | CONFORMAL SYMMETRY | ALGEBRA | SINGULAR VECTORS | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Operators | Lyapunov exponents | Computation | Chaos theory | Mathematical analysis | Texts | Correlators | Symmetry | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | 1/N expansion | conformal and W symmetry | AdS-CFT correspondence | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | Gauge Symmetry | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | Classical Theories of Gravity | Gauge-gravity correspondence | conformal field theory

Journal Article

2011, Princeton series in applied mathematics, ISBN 9780691153469, cm.

Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical,...

Technology: General Issues | Lyapunov stability | MATHEMATICS | Numerical Analysis | General | Linear & Nonlinear Programming | Differential Equations | Applied | Optimization | Mathematics | Energy dissipation | Dynamics | Large scale systems

Technology: General Issues | Lyapunov stability | MATHEMATICS | Numerical Analysis | General | Linear & Nonlinear Programming | Differential Equations | Applied | Optimization | Mathematics | Energy dissipation | Dynamics | Large scale systems

Book