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广义膨胀和齐性:利用齐性构造齐次系统的李雅普诺夫函数和控制律(英文)
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  • ISBN:
    9787560395548
  • 作      者:
    [土]S.埃姆雷·图纳(S.Emre Tuna)
  • 出 版 社 :
    哈尔滨工业大学出版社
  • 出版日期:
    2021-06-01
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目录
1 Introduction
1.1 Related work
1.2 Outline of the results
1.3 Notation and terminology

2 Homogeneity in Discrete Time
2.1 Generalized dilations and homogeneity
2.2 Examples of gilations
2.3 Homogeneous systems and optimization
2.4 Numerical calculations
2.5 A numerical example: discretized cubic integrator
2.6 Summary
2.7 Notes and references

3 Regulating a class of homogeneous systems
3.1 Regulation in continuous time
3.1.1 On robustness
3.2 Chained systems and systems in power form
3.2.1 Simulations
3.3 Summary
3.4 Notes and references

4 Homogeneity in continuous time
4.1 A condition on the righth and side
4.2 Homogeneity and uniqueness of solutions
4.3 Homogeneity and monotonicity
4.4 Implications when correlator is state independent
4.5 Summary

5 Switched homogeneous systems
5.1 Constructing a feedback
5.1.1 On robustness
5.1.2 Linear systems and convexity
5.2 A converse Lyapunov result
5.3 A numerical example
5.4 Summary
5.5 Notes and references

6 Conclusion

Bibliography
A On convergence of (2.19)
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