非线性系统
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作者（美）哈里尔 著
出版社电子工业出版社
ISBN9787121169854
出版时间2012-05
版次1
装帧平装
开本16开
纸张胶版纸
页数749页
字数99999千字
定价95元
上书时间2024-12-01
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基本信息
书名:非线性系统
定价：95元
作者:（美）哈里尔 著
出版社：电子工业出版社
出版日期：2012-05-01
ISBN：9787121169854
字数：1390000
页码：749
版次：1
装帧：平装
开本：16开
商品重量：
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内容提要
本非线性系统的研究近年来受到越来越广泛的关注，国外许多工科院校已将“非线性系统”作为相关专业研究生的学位课程。本书是美国密歇根州立大学电气与计算机工程专业的研究生教材，全书内容按照数学知识的由浅入深分成了四个部分。基本分析部分介绍了非线性系统的基本概念和基本分析方法；反馈系统分析部分介绍了输入-输出稳定性、无源性和反馈系统的频域分析；现代分析部分介绍了现代稳定性分析的基本概念、扰动系统的稳定性、扰动理论和平均化以及奇异扰动理论；非线性反馈控制部分介绍了反馈线性化，并给出了几种非线性设计工具，如滑模控制、李雅普诺夫再设计、反步设计法、基于无源性的控制和高增益观测器等。此外本书附录还汇集了一些书中用到的数学知识，包括基本数学知识的复习、压缩映射和一些较为复杂的定理证明。本书已根据作者于2012年4月2日更新过的勘误表进行过更正。
目录
1 introductio1.1 nonlinear models and nonlinear phenomena1.2 examples1.2.1 pendulum equatio1.2.2 tunnel-diode circuit1.2.3 mass-spring system1.2.4 -resistance oscillator1.2.5 artificial neural network1.2.6 adaptive control1.2.7 common nonlinearities1.3 exercises2 second-order systems2.1 qualitative behavior of linear systems2.2 multiple equilibria2.3 qualitative behavior near equilibrium points2.4 limit cycles2.5 numerical construction of phase portraits2.6 existence of periodic orbits2.7 bifurcatio2.8 exercises3 fundamental properties3.1 existence and uniqueness3.2 continuous dependence on initial conditions andparameters3.3 differentiability of solutions and sensitivity equations3.4 comparison principle3.5 exercises4 lyapunov stability4.1 autonomous systems4.2 the invariance principle4.3 linear systems and linearizatio4 4 comparison functions4.5 nonautonomous systems4.6 linear time-varying systems and linearizatio4.7 converse theorems4.8 boundedness and ultimate boundedness4 9 input-to-state stability4.10 exercises5 input-output stability5.1 l stability5.2 l stability of state models5.3 l2 gai5.4 feedback systems: the small-gain theorem5.5 exercises6 passivity6.1 memoryless functions6.2 state models6.3 positive real transfer functions6.4 l2 and lyapunov stability6.5 feedback systems: passivity theorems6.6 exercises7 frequency domain analysis of feedback systems7.1 absolute stability7.1.1 circle criterio7.1.2 popov criterio7.2 the describing function method7.3 exercises8 advanced stability analysis8.1 the center manifold theorem8.2 region of attractio8 3 invariance-like theorems8.4 stability of periodic solutions8.5 exercises9 stability of perturbed systems9.1 vanishing perturbatio9.2 nenvanishing perturbatio9.3 comparison method9.4 continuity of solutions on the infinite interval9.5 interconnected systems9.6 slowly varying systems9.7 exercises10 perturbation theory and averaging10.1 the perturbation method10.2 perturbation on the infinite interval10.3 periodic perturbation of autonomous systems10.4 averaging10.5 weakly nonlinear second-order oscillators10.6 general averaging10.7 exercises1ingular perturbations11.1 tlie standard singular perturbation model11.2 time-scale properties of the standard model11.3 singular perturbation on the infinite interval11.4 slow and fast manifolds11.5 stability analysis11.6 exercises12 feedback control12.1 control problems12.2 stabilization via hinearizatio12.3 integral control12.4 integral control via linearizatio12.5 gain scheduling12.6 exercises13 feedback linearizatio13.1 motivatio13.2 input-output linearizatio13.3 full-state linearizatio13.4 state feedback control13.4.tabilizatio13.4.2 tracking13.5 exercises14 nonlinear design tools14.liding mode control14.1.1 motivating example14.1.2 stabilizatio14.1.3 tracking14.1.4 regulation via integral control14.2 lyapunov redesig14.2.tabilizatio14.2.2 nonlinear damping14.3 backstepping14.4 passivity-based control14.5 high-gain observers14.5.1 motivating example14.5.2 stabilizatio14.5.3 regulation via integral control14.6 exercisesa mathematical reviewb contraction mappingc proofsc.1 proof of theorems 3.1 and 3.2c.2 proof of lemma 3.4c.3 proof of lemma 4.1c.4 proof of lemma 4.3c.5 proof of lemma 4.4c.6 proof of lemma 4.5c.7 proof of theorem 4.16c.8 proof of theorem 4.17c.9 proof of theorem 4.18c.10 proof of theorem 5.4c.11 proof of lemma 6.1c.12 proof of lemma 6.2c.13 proof of lemma 7.1c.14 proof of theorem 7.4c.15 proof of theorems 8.1 and 8.3c 16 proof of lemma 8 1c.17 proof of theorem 11.1c.18 proof of theorem 11.2c.19 proof of theorem 12.1c.20 proof of theorem 12.2c.21 proof of theorem 13.1c.22 proof of theorem 13.2c.23 proof of theorem 14.6ote and referencesbibliographysymbolsindex
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