Uncertain Dynamical Systems

Uncertain Dynamical Systems

by A.A. Martynyuk, Yu. A. Martynyuk-Chernienko
Released November 2011
Publisher(s): Chapman and Hall/CRC
ISBN: 9781439876879

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Book description

This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapter contains new conditions of stability of unperturbed motion of the abo

Table of contents

  1. Front Cover (1/2)
  2. Front Cover (2/2)
  3. Contents
  4. Preface
  5. Acknowledgments
  6. 1. Introduction (1/2)
  7. 1. Introduction (2/2)
  8. 2. Lyapunov's Direct Method for Uncertain Systems (1/10)
  9. 2. Lyapunov's Direct Method for Uncertain Systems (2/10)
  10. 2. Lyapunov's Direct Method for Uncertain Systems (3/10)
  11. 2. Lyapunov's Direct Method for Uncertain Systems (4/10)
  12. 2. Lyapunov's Direct Method for Uncertain Systems (5/10)
  13. 2. Lyapunov's Direct Method for Uncertain Systems (6/10)
  14. 2. Lyapunov's Direct Method for Uncertain Systems (7/10)
  15. 2. Lyapunov's Direct Method for Uncertain Systems (8/10)
  16. 2. Lyapunov's Direct Method for Uncertain Systems (9/10)
  17. 2. Lyapunov's Direct Method for Uncertain Systems (10/10)
  18. 3. Stability of Uncertain Controlled Systems (1/5)
  19. 3. Stability of Uncertain Controlled Systems (2/5)
  20. 3. Stability of Uncertain Controlled Systems (3/5)
  21. 3. Stability of Uncertain Controlled Systems (4/5)
  22. 3. Stability of Uncertain Controlled Systems (5/5)
  23. 4. Stability of Quasilinear Uncertain Systems (1/4)
  24. 4. Stability of Quasilinear Uncertain Systems (2/4)
  25. 4. Stability of Quasilinear Uncertain Systems (3/4)
  26. 4. Stability of Quasilinear Uncertain Systems (4/4)
  27. 5. Stability of Large-Scale Uncertain Systems (1/4)
  28. 5. Stability of Large-Scale Uncertain Systems (2/4)
  29. 5. Stability of Large-Scale Uncertain Systems (3/4)
  30. 5. Stability of Large-Scale Uncertain Systems (4/4)
  31. 6. Interval and Parametric Stability of Uncertain Systems (1/5)
  32. 6. Interval and Parametric Stability of Uncertain Systems (2/5)
  33. 6. Interval and Parametric Stability of Uncertain Systems (3/5)
  34. 6. Interval and Parametric Stability of Uncertain Systems (4/5)
  35. 6. Interval and Parametric Stability of Uncertain Systems (5/5)
  36. 7. Stability of Solutions of Uncertain Impulsive Systems (1/4)
  37. 7. Stability of Solutions of Uncertain Impulsive Systems (2/4)
  38. 7. Stability of Solutions of Uncertain Impulsive Systems (3/4)
  39. 7. Stability of Solutions of Uncertain Impulsive Systems (4/4)
  40. 8. Stability of Solutions of Uncertain Dynamic Equations on a Time Scale (1/5)
  41. 8. Stability of Solutions of Uncertain Dynamic Equations on a Time Scale (2/5)
  42. 8. Stability of Solutions of Uncertain Dynamic Equations on a Time Scale (3/5)
  43. 8. Stability of Solutions of Uncertain Dynamic Equations on a Time Scale (4/5)
  44. 8. Stability of Solutions of Uncertain Dynamic Equations on a Time Scale (5/5)
  45. 9. Singularly Perturbed Systems with Uncertain Structure (1/7)
  46. 9. Singularly Perturbed Systems with Uncertain Structure (2/7)
  47. 9. Singularly Perturbed Systems with Uncertain Structure (3/7)
  48. 9. Singularly Perturbed Systems with Uncertain Structure (4/7)
  49. 9. Singularly Perturbed Systems with Uncertain Structure (5/7)
  50. 9. Singularly Perturbed Systems with Uncertain Structure (6/7)
  51. 9. Singularly Perturbed Systems with Uncertain Structure (7/7)
  52. 10. Qualitative Analysis of Solutions of Set Differential Equations (1/6)
  53. 10. Qualitative Analysis of Solutions of Set Differential Equations (2/6)
  54. 10. Qualitative Analysis of Solutions of Set Differential Equations (3/6)
  55. 10. Qualitative Analysis of Solutions of Set Differential Equations (4/6)
  56. 10. Qualitative Analysis of Solutions of Set Differential Equations (5/6)
  57. 10. Qualitative Analysis of Solutions of Set Differential Equations (6/6)
  58. 11. Set Differential Equations with a Robust Causal Operator (1/4)
  59. 11. Set Differential Equations with a Robust Causal Operator (2/4)
  60. 11. Set Differential Equations with a Robust Causal Operator (3/4)
  61. 11. Set Differential Equations with a Robust Causal Operator (4/4)
  62. 12. Stability of a Set of Impulsive Equations (1/3)
  63. 12. Stability of a Set of Impulsive Equations (2/3)
  64. 12. Stability of a Set of Impulsive Equations (3/3)
  65. 13. Comments and References
  66. Appendix (1/3)
  67. Appendix (2/3)
  68. Appendix (3/3)
  69. Bibliography (1/2)
  70. Bibliography (2/2)

Product information

  • Title: Uncertain Dynamical Systems
  • Author(s): A.A. Martynyuk, Yu. A. Martynyuk-Chernienko
  • Release date: November 2011
  • Publisher(s): Chapman and Hall/CRC
  • ISBN: 9781439876879