Constructive stability and asymptotic stability of dynamical systems

In this article, we will consider the problems of controlling multidimensional phase systems described by nonlinear differential equations. These mathematical models describe processes in complex systems consisting of many turbines and generators and are used for their analysis. The relevance of these models lies in the fact that they allow simulating different pre-emergency, emergency, and post-emergency situations. The controllability of the model under consideration is determined by studying the global asymptotic stability of dynamical systems in cylindrical phase systems. The results obtained are demonstrated by a numerical example.

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Asymptotic stability of dynamical systems with multiplicative perturbations

Annales Polonici Mathematici ◽

10.4064/ap-50-2-209-218 ◽

1989 ◽

Vol 50 (2) ◽

pp. 209-218 ◽

Cited By ~ 4

Author(s):

Katarzyna Horbacz

Keyword(s):

Dynamical Systems ◽

Asymptotic Stability ◽

Stability Of Dynamical Systems

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Asymptotic stability of dynamical systems with state saturation

Dynamical Systems with Saturation Nonlinearities - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0032149 ◽

2005 ◽

pp. 20-36

Keyword(s):

Dynamical Systems ◽

Asymptotic Stability ◽

Stability Of Dynamical Systems ◽

State Saturation

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Some Results on the Asymptotic Stability of Nonlinear Dynamical Systems

10.23919/acc.1990.4790721 ◽

1990 ◽

Author(s):

Claudia Manfredi

Keyword(s):

Dynamical Systems ◽

Asymptotic Stability ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical

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Componentwise asymptotic stability of linear constant dynamical systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1984.1103394 ◽

1984 ◽

Vol 29 (10) ◽

pp. 937-939 ◽

Cited By ~ 26

Author(s):

M. Voicu

Keyword(s):

Dynamical Systems ◽

Asymptotic Stability

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ABSOLUTE STABILITY OF DYNAMICAL SYSTEMS (SURVEY)

IFAC Proceedings Volumes ◽

10.3182/20020721-6-es-1901.00256 ◽

2002 ◽

Vol 35 (1) ◽

pp. 37-42

Author(s):

Mark R. Liberzon

Keyword(s):

Dynamical Systems ◽

Absolute Stability ◽

Stability Of Dynamical Systems

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Stability of dynamical systems - An overview

Journal of Guidance Control and Dynamics ◽

10.2514/3.25349 ◽

1990 ◽

Vol 13 (3) ◽

pp. 385-393 ◽

Cited By ~ 4

Author(s):

S. Pradeep ◽

S. K. Shrivastava

Keyword(s):

Dynamical Systems ◽

Stability Of Dynamical Systems

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Incremental Graphical Asymptotic Stability for Hybrid Dynamical Systems

Feedback Stabilization of Controlled Dynamical Systems - Lecture Notes in Control and Information Sciences ◽

10.1007/978-3-319-51298-3_9 ◽

2017 ◽

pp. 231-262

Author(s):

Yuchun Li ◽

Ricardo G. Sanfelice

Keyword(s):

Dynamical Systems ◽

Asymptotic Stability ◽

Hybrid Dynamical Systems

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On the Almost Sure Stability of Linear Stochastic Distributed-Parameter Dynamical Systems

Journal of Applied Mechanics ◽

10.1115/1.3624976 ◽

1966 ◽

Vol 33 (1) ◽

pp. 182-186 ◽

Cited By ~ 17

Author(s):

P. K. C. Wang

Keyword(s):

Dynamical Systems ◽

Asymptotic Stability ◽

Integral Equations ◽

Sufficient Conditions ◽

Distributed Parameter ◽

Almost Sure Stability ◽

Partial Differential ◽

Stochastic Parameters

In this paper, sufficient conditions for almost sure stability and asymptotic stability of certain classes of linear stochastic distributed-parameter dynamical systems are derived. These systems are described by a set of linear partial differential or differential-integral equations with stochastic parameters. Various examples are given to illustrate the application of the main results.

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