How Long to Read Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control

How Long Does it Take to Read Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control?

It takes the average reader 8 hours and 30 minutes to read Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control by Russell Johnson

Assuming a reading speed of 250 words per minute. Learn more

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.

How long is Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control?

Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control by Russell Johnson is 497 pages long, and a total of 127,729 words.

This makes it 168% the length of the average book. It also has 156% more words than the average book.

How Long Does it Take to Read Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control Aloud?

The average oral reading speed is 183 words per minute. This means it takes 11 hours and 37 minutes to read Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control aloud.

What Reading Level is Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control?

Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control?

Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control by Russell Johnson is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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