简介
MacDonald (U. of Glasgow) has written a text/reference on one of the fundamental questions in the analysis of the effect of delays, namely, determining whether they effect the stability of steady states. Mathematical prerequsites have been kept to a minimum of advanced calculus and ordinary differential equations.
目录
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
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
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