Lyapunov PowerPoint PPT Presentations

M compact space / manifold : Z M finite dim vector bundle : M M cont transf / homeo ... E = M x or M x. F(x,v) = ( (x) , A(x)v) Cd. I. Ex: Rd. I. A : M G , G GL(d) ...

Spectrum of exponents corresponding to number of variables, ... Barker, G.L, and Gollub, J.P. Chaotic Dynamics an introduction Cambridge University Press, 1996. ...

(ii) chosen so as to cancel the effect of uncertainty. Find a state feedback controller so that the closed loop ... Due to the matching condition, can wipe out ...

Lyapunov Exponents for Infinite Dimensional Random Dynamical Systems in a Banach Space Zeng Lian, Courant Institute KeninG Lu, Brigham Young University

GRADIENT ALGORITHMS for COMMON LYAPUNOV FUNCTIONS Daniel Liberzon Univ. of Illinois at Urbana-Champaign, U.S.A. Roberto Tempo IEIIT-CNR, Politecnico di Torino, Italy

OBSERVABILITY and ASYMPTOTIC ... come back to this result in the next lecture Let me make a few remarks to further motivate the nonlinear observability notion ...

CAM 383C Numerical Analysis: Linear Algebra. Professor: Inderjit Dhillon ... Given a system of differential equations, find an energy function such that the ...

IEIIT-CNR, Politecnico di Torino, Italy. PROBLEM. Motivation: stability of uncertain and switched systems. Analytical results: ...

Barbashin-Krasovskii-LaSalle theorem: (observability with respect to ) observable ... To handle nonlinear switched systems and. non-quadratic weak Lyapunov functions, ...

Lyapunov Stability Analysis and On-Line Monitoring Bojan Cukic, Edgar Fuller, Srikanth Gururajan, Martin Mladenovski, Sampath Yerramalla NASA OSMA SAS

picked using probability distribution on. s.t. every relatively open subset has positive measure ... of steps with probability 1. Gradient iteration (randomized ...

A method for bounding the initialization bias in sample ... Random Perron-Frobenius Theory The vector p is the random Perron-Frobenius eigenvector ...

... of Zagreb, Faculty of Electrical Engineering & Computing SWAN06 Department of Control and Computer Engineering ARRI, December 8, 2006 ...

Convex Hull Quadratic Lyapunov Functions Tingshu Hu ... PLDIs can be used to describe nonlinear uncertain systems in absolute stability framework.

ESTIMATION OF LYAPUNOV SPECTRA FROM A TIME SERIES S. Srinivasan, S. Prasad, S. Patil, G. Lazarou and J. Picone Intelligent Electronic Systems Center for Advanced ...

But not: Completion time and v0. Centre for Autonomous Systems. Petter ... previous methods using new mathematical framework. Obstacle Avoidance ...

URL: http://www.cavs.msstate.edu/hse/ies/publications/conferences/ieee_secon ... Reconstruction a phase-space from a scalar observable ...

I will discuss how Lyapunov calculations are used to find the ... [4] Burbanks, Andy; Extracting Beauty from Chaos; Plus Magazine; Issue 9, September 1999 ...

Energy 'valley' determines force to apply to the car ... Could also use other polynomial tire models. 10-Nov-05. Joshua P. Switkes. Slide 17. D ...

... class of Hybrid Systems. Some background ... Switched and Hybrid Systems', Branicky, CDC94. ... other Analysis Tools for Switched and Hybrid Systems', IEEE Trans. ...

singular (fractal) SRB Measure ... Statistical integrals of motion (zero ... a smooth dynamics and multi-fractal spatial distribution, and ii) from explosive ...

controllable Circle criterion: quadratic common Lyapunov function is strictly positive real (SPR): For this reduces to SPR ...

... 8th order observer with two measurements, with design based on Lyapunov equation. ... which is based on some P, the Lyapunov function candidate can be used to show ...

Stability, Lyapunov Functions, and Control Design Zhihua Qu School of Electrical Engineering and Computer Science University of Central Florida at

Proof of Stability ... Queue evolution: Choose the Lyapunov function. Thus the Lyapunov ... The proof in the paper is an extension of this simple case. ...

Linear Autonomous (Time-Independent) Systems Local Stability implies Global Stability Global Asymptotic Stability Lyapunov Stability, ...

Nonlinear dynamics & chaos. Invariant constants: Dimensions (self similarity, fractal geometry) Lyapunov exponents (sensitivity to initial state) ...

Control forces are derived from potential functions ... Using Sylvester's Criterion. Non-linear Lyapunov Function. Bounds the non-linear system ...

EE 5323/4328 Lectures 9,10 In these lectures, you will learn: Stability concepts Lyapunov s stability theorem La Salle s Invariance principle

High quality Music Sheet inspired Art Prints by independent artists and designers from around the world. Alexei Lyapunov and Lena Ehrlich are the two members of People Too, an illustrative team from Novosibirsk, Russia that draws elaborate scenes on pieces of sheet music. The colourful works capture both pastoral and urban landscapes, detailing vignettes of people fishing, dancing, and commuting. Musical notations from the songs are often incorporated into the illustrations — notes becoming steps, hills, or trunks of trees.

Entrainment (distributed synchronization) Coordinated movement ... Descent on energy surface / ascent on fitness surface. Lyapunov theorem to prove asymptotic ...

Hybrid quantized control: is discrete state. Zoom out to overcome ... Prove discrete protocol stability via Lyapunov function. ACTIVE PROBING for INFORMATION ...

... attractivit : S.S

... tT(L) is the travel time to cross a box of ... A finite size scaling analysis is then carried ... Higher order corrections make the Lyapunov exponent ...

Electrical Engineering and Computer Science. Results for Solution 1. channel ... channel. huffman. LU. lyapunov. University of Michigan. Electrical Engineering ...

M=120. M=80. M=40 ~Lyapunov. dimension. 4D Ensemble Kalman Filter ... Red ('Base Line'): 80-member, the surface pressure, temperature and wind are ...

stable if there is a dissipative Lyapunov function for the system (a ... System is detectable if: output tends to equilibrium implies state tends to equilibrium ...

Error expression ek is defined as a function of parameter deviations present and ... minimisation of the sum of Lyapunov over long horizon (only a posteriori known) ...

Ajout d'un co t infini sur l' tat final pour les syst mes lin aires ... Ajout d'une contrainte de d croissance d'une fonction de Lyapunov dans le ...

Introduction to Scientific Computing II Molecular Dynamics Discretisation Dr. Miriam Mehl Properties of the Model reversibilty in time H-theorem Loschmidt ...

An important property of dynamic systems. Stability. ... Positive Definite and Decrescent. Decrescent [Slotine,Li] Barbalet's Lemma ...

General introduction of a new product taking customer wishes into account

1890 - Henri Poincar - the 3 body problem. 1960 - Edward Lorenz - weather model ... Simple ecological model e.g. insect population ...

velocities: Crank Nicolson. Time Discretisation Leapfrog. position: Taylor series (2nd order) velocities: Crank Nicolson. Evaluation. accuracy. stability. costs ...

away with initial conditions: Ux=40 m/s, =5 Degrees. Dynamic Design Lab. Stanford University ... Road Curvature. Driver Inputs ...

Goal: After these lectures, you should ... For now, disregard issues with sliding modes, zeno, ... (precise statements in refs) ...

The theme was to generate parameter adjustment rule which guarantee stability ... Plot the error between estimated and actual parameter values. ...

Chaos and the physics of non-equilibrium systems Henk van Beijeren Institute for Theoretical Physics Utrecht University Twodimensional Lorentz gas Are smallest ...

Univ. of Illinois at Urbana-Champaign. U.S.A.. DISC HS, June 2003. SWITCHED vs. HYBRID SYSTEMS : ... Asymptotic stability of each subsystem is (This only ...

Title: Uniqueness numerical analysis for boundary value problems involving classical and secodn gradient models for cohesive materials Author: Ren Chambon

The dynamical evolution is given by equations of motion that depend on both ... Liveliness. Deadlock or Zeno? ( ex., bouncing ball is Zeno) Stability ...

Hard disks: Generators of symmetry transformations. N = 780. Classification of modes ... Fractal phase-space probability is fingerprint of Second Law ...

Martin.Lo@jpl.nasa.gov. JPL. 2004 Summer Workshop on Advanced Topics in Astrodynamics ... Staging for Interplanetary Launch. Low Energy Transfer Applications. MWL - 9 ...

On the Power Spectral Density of Chaotic Signals Generated by Skew Tent Maps. Daniela Mitie Kato ... 8-th International Symposium on Signals, Circuits and ...

(small-gain condition) 4 of 8. SUFFICIENT CONDITIONS for ISS [Hespanha-L-Teel, CDC'05] ... condition! ISS from to with some linear gain [Ne ic-L, CDC'05] 8 of 8 ...

Dynamical Systems 3 Nonlinear systems Ing. Jaroslav J ra, CSc.