This book deals with a fundamental question in the analysis of the effects of delays, namely whether they affect the stability of steady states.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Preface 1. How delays arise and what effects they have 2. Ordinary differential equations: the polynomial characteristic equation 3. Functional differential equations: the transcendental characteristic equation 4. Hurwitz polynomials 5. First- and second-order systems with a discrete delay 6. Higher-order systems, and systems with two delays 7. Reducing a discrete delay problem to one with a polynomial characteristic equation 8. Stability independent of delay 9. Distributed delay 10. Reducible delays and linear subsystems Appendices Solutions to exercises References Index.
Preface 1. How delays arise and what effects they have 2. Ordinary differential equations: the polynomial characteristic equation 3. Functional differential equations: the transcendental characteristic equation 4. Hurwitz polynomials 5. First- and second-order systems with a discrete delay 6. Higher-order systems, and systems with two delays 7. Reducing a discrete delay problem to one with a polynomial characteristic equation 8. Stability independent of delay 9. Distributed delay 10. Reducible delays and linear subsystems Appendices Solutions to exercises References Index.
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