Andere Kunden interessierten sich auch für
![Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control]( "Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control")
Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control74,99 €![New Trends in Lyapunov Exponents]( "New Trends in Lyapunov Exponents")
New Trends in Lyapunov Exponents125,99 €![Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations]( "Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations")
Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations37,99 €![Geometric Theory of Discrete Nonautonomous Dynamical Systems]( "Geometric Theory of Discrete Nonautonomous Dynamical Systems")
Geometric Theory of Discrete Nonautonomous Dynamical Systems38,99 €![The Moment Problem]( "The Moment Problem")
The Moment Problem48,99 €![Spectral Theory and Mathematical Physics]( "Spectral Theory and Mathematical Physics")
Spectral Theory and Mathematical Physics74,99 €![Recent Advances in Differential Equations and Control Theory]( "Recent Advances in Differential Equations and Control Theory")
Recent Advances in Differential Equations and Control Theory110,99 €
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 fundamentalrole is played by therotation 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.
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 fundamentalrole is played by therotation 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.