Stability of Dynamical Systems On the Role of Monotonic and Non-Monotonic Lyapunov Functions /

• Main Authors: Michel, Anthony N. (Author), Hou, Ling (Author), Liu, Derong (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Edition: 2nd ed. 2015.
• Series: Systems & Control: Foundations & Applications,
• Subjects: Mathematics.; Difference equations.; Functional equations.; Differential equations.; Partial differential equations.; System theory.; Control engineering.; Robotics.; Mechatronics.; Systems Theory, Control.; Control, Robotics, Mechatronics.; Ordinary Differential Equations.; Partial Differential Equations.; Difference and Functional Equations.

The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems.  For these system models, it presents results which compri...

Table of Contents:

• Introduction.- Dynamical Systems
• Fundamental Theory: The Principal Stability and Boundedness Results on Metric Spaces.-Fundamental Theory: Specialized Stability and Boundedness Results on Metric Spaces
• Applications to a Class of Discrete-Event Systems
• Finite-Dimensional Dynamical Systems
• Finite-Dimensional Dynamical Systems: Specialized Results.- Applications to Finite-Dimensional Dynamical Systems.- Infinite-Dimensional Dynamical Systems.