Application of the direct method of Liapunov to nonlinear systems

[目次]

  • Contents / p1
  • Preface / p7
  • Acknowledgements / p9
  • 1 The second or direct method of Liapunov / p1
  • 1.1 Introduction / p1
  • 1.2 Definitions of Liapunov Stability / p1
  • 1.3 Liapunov Stability Theorems / p3
  • 1.4 The Quadratic Liapunov Function / p6
  • 2 Luré-type Nonlinear Systems / p9
  • 2.1 Introduction / p9
  • 2.2 Luré Systems with Single Nonlinearity / p9
  • 2.3 Luré Systems with Multiple Nonlinearities / p17
  • 2.4 Concluding Remarks / p32
  • 3 Collision Avoidance of Robot Arms / p33
  • 3.1 Introduction / p33
  • 3.2 The Find-path Problem / p33
  • 3.3 Liapunov functions / p36
  • 3.4 Simulations / p41
  • 3.5 Application to a Revolute Pair(RP)Manipulator / p49
  • 3.6 Concluding Remarks / p53
  • 4 Volterra Integrodifferential Equation / p55
  • 4.1 Introduction / p55
  • 4.2 Stability of the Scalar Volterra Equation / p55
  • 4.3 Concluding Remarks / p59
  • 5 Conclusion / p61
  • Bibliography / p63
  • Appendices / p67
  • A Definiteness of Matrices / p67
  • A.1 Example 2.3 / p67
  • A.2 Example 2.4 / p68
  • B Equations of Motion of the RP Manipulator / p69
  • B.1 Lagrange's Equations / p69
  • B.2 The Single Planar RP Manipulator / p69

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この本の情報

書名 Application of the direct method of Liapunov to nonlinear systems
著作者等 Jito
Vanualailai
Vanualailai, Jito
書名別名 リアプノフ直接法の非線形システムへの応用
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