Differential Equations, Dynamical Systems, and Control Science: A Festschrift in Honor of Lawrence Markus (Lecture notes in pure and applied mathematics ; v. 152)

Presents recent developments in the areas of differential equations, dynamical systems, and control of finke and infinite dimensional systems. Focuses on current trends in differential equations and dynamical system research-from Darameterdependence of solutions to robui control laws for inflnite dimensional systems. Detailing the historical setting of modern control engineering, this remarkable reference - a Festschrift in honor of world-renowned mathematician Lawrence Markus - presents recent developments in the areas of differential equations, dynamical systems, and control of finite and infinite dimensional systems. Focusing on current trends in differential equations and dynamical system research - from parameter dependence of solutions to robust control laws for infinite dimensional systems - Differential Equations, Dynamical Systems, and Control Science highlights the many contributions to the aerospace industry made by control engineering research ... describes general results of stability, exponential stability, and Lyapunov functions for relating structural properties of differential equations ... discusses approximate solutions for the Schrodinger and Navier-Stokes equations ... considers various theoretical questions for control systems with infinite dimensional state spaces or time delay ... relates stabilizing solutions for Riccati inequalities to disturbance attenuation ... covers robust stability, nonlinear models, and control of two-dimensional systems ... examines techniques for numerical solutions and approximations of nonlinear infinite dimensional system models ... and much more. Of the many virtues of Larry Markus none is more widely appreciated than his willingness to transgress departmental barriers and cooperate freely and fruitfully with colleagues in other disciplines.