Delay differential equations: recent advances and new directions

Hongfei Li, Keqin Gu (auth.), David E. Gilsinn, Tamás Kalmár-Nagy, Balakumar Balachandran (eds.)9780387855943, 0387855947

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.

Table of contents :
Front Matter….Pages 1-14
Lyapunov-Krasovskii Functional Approach for Coupled Differential-Difference Equations with Multiple Delays….Pages 1-30
Networked Control and Observation for Master-Slave Systems….Pages 1-23
Developments in Control of Time-Delay Systems for Automotive Powertrain Applications….Pages 55-92
Stability Analysis and Control of Linear Periodic Delayed Systems Using Chebyshev and Temporal Finite Element Methods….Pages 93-129
Systems with Periodic Coefficients and Periodically Varying Delays: Semidiscretization-Based Stability Analysis….Pages 131-153
Bifurcations, Center Manifolds, and Periodic Solutions….Pages 1-48
Center Manifold Analysis of the Delayed Lienard Equation….Pages 1-17
Calculating Centre Manifolds for Delay Differential Equations Using Maple™….Pages 1-24
Numerical Solution of Delay Differential Equations….Pages 1-27
Effects of Time Delay on Synchronization and Firing Patterns in Coupled Neuronal Systems….Pages 1-31
Delayed Random Walks: Investigating the Interplay Between Delay and Noise….Pages 1-31
Back Matter….Pages 1-5