Stability of Dynamical Systems On the Role of Monotonic and Non-Monotonic Lyapunov Functions
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 compr...
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2015
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oai:scholar.dlu.edu.vn:DLU123456789-587392023-11-11T06:18:59Z Stability of Dynamical Systems On the Role of Monotonic and Non-Monotonic Lyapunov Functions Michel, Anthony N Hou, Ling Liu, Derong Differentiable dynamical Systems Stability 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 comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as corresponding contemporary stability results involving non-monotonic Lyapunov functions. Specific examples from several diverse areas are given to demonstrate the applicability of the developed theory to many important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, and artificial neural networks. 2015-10-06T01:19:26Z 2015-10-06T01:19:26Z 2015 Book 978-3-319-15275-2 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58739 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Differentiable dynamical Systems Stability |
| spellingShingle |
Differentiable dynamical Systems Stability Michel, Anthony N Hou, Ling Liu, Derong Stability of Dynamical Systems On the Role of Monotonic and Non-Monotonic Lyapunov Functions |
| description |
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 comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as corresponding contemporary stability results involving non-monotonic Lyapunov functions. Specific examples from several diverse areas are given to demonstrate the applicability of the developed theory to many important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, and artificial neural networks. |
| format |
Book |
| author |
Michel, Anthony N Hou, Ling Liu, Derong |
| author_facet |
Michel, Anthony N Hou, Ling Liu, Derong |
| author_sort |
Michel, Anthony N |
| title |
Stability of Dynamical Systems
On the Role of Monotonic and Non-Monotonic Lyapunov Functions |
| title_short |
Stability of Dynamical Systems
On the Role of Monotonic and Non-Monotonic Lyapunov Functions |
| title_full |
Stability of Dynamical Systems
On the Role of Monotonic and Non-Monotonic Lyapunov Functions |
| title_fullStr |
Stability of Dynamical Systems
On the Role of Monotonic and Non-Monotonic Lyapunov Functions |
| title_full_unstemmed |
Stability of Dynamical Systems
On the Role of Monotonic and Non-Monotonic Lyapunov Functions |
| title_sort |
stability of dynamical systems
on the role of monotonic and non-monotonic lyapunov functions |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58739 |
| _version_ |
1782546356636745728 |