1.

Record Nr.

UNINA9910254061703321

Autore

Johnson Russell

Titolo

Nonautonomous linear Hamiltonian systems: oscillation, spectral theory and control / / by Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016

ISBN

3-319-29025-8

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (515 p.)

Collana

Developments in Mathematics, , 1389-2177 ; ; 36

Disciplina

510

Soggetti

Dynamics

Ergodic theory

Differential equations

System theory

Dynamical Systems and Ergodic Theory

Ordinary Differential Equations

Systems Theory, Control

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Nonautonomous linear Hamiltonian systems -- The rotation number and the Lyapunov index for real nonautonomous linear Hamiltonian systems -- The Floquet coeffcient for nonautonomous linear Hamiltonian systems: Atkinson problems -- The Weyl functions -- Weak disconjugacy for linear Hamiltonian systems -- Nonautonomous control theory. Linear regulator problem and the Kalman-Bucy filter -- Nonautonomous control theory. A general version of the Yakubovich Frequency Theorem -- Nonautonomous control theory. Linear-quadratic dissipative control processes -- Index -- References.

Sommario/riassunto

This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence. Particular attention is given to the oscillation properties of the solutions as well as to a spectral theory appropriate for such systems. The book contains



extensions of results which are well known when the coefficients are autonomous or periodic, as well as in the nonautonomous two-dimensional case. However, a substantial part of the theory presented here is new even in those much simpler situations. The authors make systematic use of basic facts concerning Lagrange planes and symplectic matrices, and apply some fundamental methods of topological dynamics and ergodic theory. Among the tools used in the analysis, which include Lyapunov exponents, Weyl matrices, exponential dichotomy, and weak disconjugacy, a fundamental role is played by the rotation number for linear Hamiltonian systems of general dimension. The properties of all these objects form the basis for the study of several themes concerning linear-quadratic control problems, including the linear regulator property, the Kalman-Bucy filter, the infinite-horizon optimization problem, the nonautonomous version of the Yakubovich Frequency Theorem, and dissipativity in the Willems sense. The book will be useful for graduate students and researchers interested in nonautonomous differential equations; dynamical systems and ergodic theory; spectral theory of differential operators; and control theory.



2.

Record Nr.

UNINA9911018894703321

Autore

Jankovsky Jason Alan <1961->

Titolo

Trading rules that work : the 28 essential lessons every trader must master / / Jason Alan Jankovsky

Pubbl/distr/stampa

Hoboken, N.J., : John Wiley & Sons, c2007

ISBN

9786610722327

9781118046449

1118046447

9781119202080

1119202086

9781280722325

1280722320

9780470087787

0470087781

Descrizione fisica

1 online resource (210 p.)

Collana

The Wiley trading series

Disciplina

332.64

Soggetti

Speculation

Investment analysis

Futures

Foreign exchange

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. 179-181) and index.

Nota di contenuto

Contents; Acknowledgments; Introduction; HOW THIS BOOK IS ORGANIZED; BEFORE YOU BEGIN; Rule 1: Know Your Game; Rule 2: Have a Trading Plan; SO HOW DO I CREATE A SOUND TRADING PLAN?; Rule 3: Think in Terms of Probabilities; Rule 4: Know Your Time Frame; FINDING CONGRUENCY IN YOUR TIME FRAME; WHICH TRADER ARE YOU?; Rule 5: Define Your Risk; Rule 6: Always Place a Protective Stop; MOVABLE STOPS; Rule 7: Your First Loss Is Your Best Loss; Rule 8: Never Add to a Loser; Rule 9: Don't Overtrade; Rule 10: Keep Good Records and Review Them; Rule 11: Add to Your Winners

Rule 12: Use Multiple Time FramesRule 13: Know Your Profit Objective; Rule 14: Don't Second-Guess Your Winners; Rule 15: Know the Limits of



Your Analysis; Rule 16: Trade with the Trend; WHAT IS A TREND?; UPTREND; DOWNTREND; RANGE; BENEFITS OF CLEARLY APPRAISING TREND; Rule 17: Use Effective Money Management; Rule 18: Know Your Ratios; Rule 19: Know When to Take a Break; Rule 20: Don't Trade the News; Rule 21: Don't Take Tips; Rule 22: Withdraw Equity Regularly; Rule 23: Be a Contrarian; Rule 24: All Markets Are Bearish; Rule 25: Buy/Sell 50% Retracements; HOW TO USE THE RULE

Rule 26: The Only Indicator You NeedRule 27: Study Winning Traders; Rule 28: Be a Student of Yourself; Conclusion; Recommended Reading; About the Author; Index

Sommario/riassunto

Trading Rules that Work introduces you to twenty-eight essential rules that can be shaped to fit any trading approach-whether you're dealing in stocks, commodities, or currencies. Engaging and informative, Trading Rules that Work outlines the deeper psychology behind each of these accepted trading rules and provides you with a better understanding of how to make those rules work for you.