Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control: 36 (Developments in Mathematics, 36) - Image 1

£74.56

Springer Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control: 36 (Developments in Mathematics, 36)

Name: Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control: 36 (Developments in Mathematics, 36)
Brand: Springer
Price: 74.56 GBP
Availability: InStock

Library & Information Sciences

It has never been this cheap. We have no record of a lower price.

£75 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 57 days • 57 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 57 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £77 (49 days, 86.0%)

Price range: £75 - £77

Price levels: 2 different prices over 57 days

Description

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. From the Back Cover 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.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3319804758
Category: Books > Subjects > Reference > Library & Information Sciences
Domain: Amazon UK
Release Date: 25 April 2018
Listed Since: 24 April 2018

Barcode

No barcode data available

Springer Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control: 36 (Developments in Mathematics, 36)

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Modern Control Theory: State Variable Analysis of Linear Systems and Analysis of Nonlinear Systems

System Theory of Continuous Time Finite Dimensional Dynamical Systems: The Memories of Tsuyoshi Matsuo and R. E. Kalman: 250 (Studies in Systems, Decision and Control, 250)

Nonlinear Model Predictive Control: Theory and Algorithms (Communications and Control Engineering)

Optimal and Robust Control: Advanced Topics with MATLAB®

Dissipative Systems Analysis and Control: Theory and Applications (Communications and Control Engineering)

Stability, Control and Differential Games: Proceedings of the International Conference “Stability, Control, Differential Games” (SCDG2019) (Lecture ... and Information Sciences - Proceedings)

Stability, Control and Differential Games: Proceedings of the International Conference “Stability, Control, Differential Games” (SCDG2019) (Lecture ... and Information Sciences - Proceedings)

Dynamic Systems on Measure Chains: 370 (Mathematics and Its Applications, 370)

Stability of Dynamical Systems: On the Role of Monotonic and Non-Monotonic Lyapunov Functions (Systems & Control: Foundations & Applications)

The Dynamics of Control (Systems & Control: Foundations & Applications)

Nonlinear Dynamical Systems and Control A LyapunovBased Approach: A Lyapunov-Based Approach

Nonlinear Systems Stability Analysis: Lyapunov-Based Approach

Linear Systems: Non-Fragile Control and Filtering

An Operator Perspective on Signals and Systems: 204 (Operator Theory: Advances and Applications, 204)

Springer Dynamic Systems on Measure Chains: 370 Mathematics

Linear Systems: Non-Fragile Control and Filtering

Control Theory of Infinite-Dimensional Systems: 277 (Operator Theory: Advances and Applications, 277)

Linear Time Varying Systems and Sampled-data Systems: 265 (Lecture Notes in Control and Information Sciences, 265)

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering: 53 (Studies in Systems, Decision and Control, 53)

Robust Control of Linear Systems Subject to Uncertain Time-Varying Parameters: 325 (Lecture Notes in Control and Information Sciences, 325)

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering: 53 (Studies in Systems, Decision and Control, 53)

Stability and Control of Linear Systems: 185 (Studies in Systems, Decision and Control, 185)

Control Theory of Infinite-Dimensional Systems: 277 (Operator Theory: Advances and Applications, 277)

Nonlinear Systems Stability Analysis: Lyapunov-Based Approach