Delay Differential Equations: Recent Advances and New Directions

ISBN-13: 9780387855943 / Angielski / Twarda / 2009 / 350 str.

Balakumar Balachandran; Tamas Kalmar-Nagy; David E. Gilsinn

Opis

Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and researchers will benefit from a unique focus on theory, symbolic, and numerical methods, which illustrate how the concepts described can be applied to practical systems ranging from automotive engines to remote control over the Internet. Comprehensive coverage of recent advances, analytical contributions, computational techniques, and illustrative examples of the application of current results drawn from biology, physics, mechanics, and control theory. Students, engineers and researchers from various scientific fields will find Delay Differential Equations: Recent Advances and New Directions a valuable reference.

Spis treści

Lyapunov-Krasovskii Functional Approach for Coupled Differential-Difference Equations with Multiple Delays.- Networked Control and Observation for Master-Slave Systems.- Developments in Control of Time-Delay Systems for Automotive Powertrain Applications.- Stability Analysis and Control of Linear Periodic Delayed Systems Using Chebyshev and Temporal Finite Element Methods.- Systems with Periodic Coefficients and Periodically Varying Delays: Semidiscretization-Based Stability Analysis.- Bifurcations, Center Manifolds, and Periodic Solutions.- Center Manifold Analysis of the Delayed Lienard Equation.- Calculating Centre Manifolds for Delay Differential Equations Using Maple#x2122;.- Numerical Solution of Delay Differential Equations.- Effects of Time Delay on Synchronization and Firing Patterns in Coupled Neuronal Systems.- Delayed Random Walks: Investigating the Interplay Between Delay and Noise.

Blurb

Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs).

Researchers will benefit from a unique focus on theory, symbolic, and numerical methods, which illustrate how the concepts described can be applied to practical systems ranging from automotive engines to remote control over the Internet. Comprehensive coverage of recent advances paired with analytical contributions are included, in addition to computational techniques and illustrative examples of the application of current results drawn from biology, physics, mechanics, and control theory.