Further Results on Descriptor Time Delayed System Stability Theory in the sense of Lyapunov: Pandolfi Based Approach

2005 ◽  
Author(s):  
D.L.J. Debeljkovic ◽  
S.B. Stojanovic ◽  
M.B. Jovanovic ◽  
S.A. MIlinkovic
Keyword(s):  
Stability Theory ◽  
System Stability ◽  
Delayed System

DISCRETE TIME DELAYED SYSTEM STABILITY THEORY IN THE SENSE OF LYAPUNOV: NEW RESULTS

2004 ◽  
Author(s):  
D. LJ. DEBELJKOVIC ◽  
M. P. LAZAREVIC ◽  
S. B. STOJANOVIC ◽  
M. B. JOVANOVIC ◽  
S. A. MILINKOVIC
Keyword(s):  
Discrete Time ◽  
Stability Theory ◽  
System Stability ◽  
Delayed System

Investigation of Synchronization for a Fractional-Order Delayed System

2014 ◽  
Vol 687-691 ◽  
pp. 447-450 ◽  
Author(s):  
Hong Gang Dang ◽  
Wan Sheng He ◽  
Xiao Ya Yang
Keyword(s):  
Numerical Simulations ◽  
Fractional Order ◽  
Stability Theory ◽  
Fractional Order Systems ◽  
Delayed System ◽  
The Stability

In this paper, synchronization of a fractional-order delayed system is studied. Based on the stability theory of fractional-order systems, by designing appropriate controllers, the synchronization for the proposed system is achieved. Numerical simulations show the effectiveness of the proposed scheme.

Stability Theory in the Sense of Lyapunov — Basic Approach: Discrete Singular Time Delayed System

Volume 1 ◽  
2004 ◽  
Author(s):  
D. Lj. Debeljkovic ◽  
S. A. Milinkovic ◽  
S. B. Stojanovic ◽  
M. B. Jovanovic
Keyword(s):  
Stability Theory ◽  
Direct Method ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Discrete Delay ◽  
Basic Approach ◽  
Delayed System ◽  
The Stability ◽  
Working Out ◽  
Singular Time

This paper gives sufficient conditions for the stability of linear singular discrete delay systems of the form Ex(k+1) = Aox(k)+A1x((k-1). These new, delay-independent conditions are derived using approach based on Lyapunov’s direct method. A numerical example has been working out to show the applicability of results derived. To the best knowledge of the authors, such result have not yet been reported.

Synchronization of Fractional-Order Chaotic Systems with Uncertain Parameters

2010 ◽  
Vol 171-172 ◽  
pp. 723-727
Author(s):  
Hong Zhang ◽  
Qiu Mei Pu
Keyword(s):  
Fractional Order ◽  
Stability Theory ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
System Stability ◽  
Order System ◽  
Uncertain Parameters ◽  
Mode Theory ◽  
Simulation Results ◽  
The Stability

For the synchronization of fractional-order chaotic systems with uncertain parameters, a controller based on sliding mode theory is presented. Based on the stability theory of fractional-order system, stability of the proposed method is analyzed. The theory is successfully applied to synchronize fractional Newton-Leipnik chaotic systems with uncertain parameters. The simulation results show the effectiveness of the proposed controller.

scholarly journals An examination of the international system stability after the Cold War in terms of the theory of hegemonic stability

2018 ◽  
pp. 147-174
Keyword(s):  
United States ◽  
Cold War ◽  
Stability Theory ◽  
International System ◽  
The United States ◽  
Point Of View ◽  
System Stability ◽  
General Process ◽  
Post Cold War ◽  
Hegemonic Stability

It seems that by suing the theories of international politics, especially the onre of hegemonic stability in the form of the neo-realism of Robert Gilpin, it is possible to define the structure of the post-Cold War as a hegemonic structure, so that in the next step by using it, the behavior of the main units of the system, particularly the superior power of hegemony (America), could be explained. This research, by using the hegemonic stability theory answers the question of how the stability of the post-Cold War international system is, from the point of view of the hegemonic stability theory; Therefore, the hypothesis of this study cites it seems that the order and stability of the post-Cold War international system, from the point of view of the hegemonic stability theory, can be explained on thae basis of the central role of the United States and its desire to intervene in the general process of maintaining order in the global system(hegemonic order), because in this order the United States, while enjoying a superior economic position and the dominant material and non-material resources of power, pursues its own security, economic, and ideological interests, and strives to put forth its hegemonic goals in the form of some ideas and then to implement them with regard to their positive and negative feedbacks to stabilize the international system.

scholarly journals Robust exponential point stabilization control of the high-speed underactuated unmanned marine vehicle with model asymmetry

2019 ◽  
Vol 16 (2) ◽  
pp. 172988141983275 ◽  
Author(s):  
Zaopeng Dong ◽  
Yabin Wang ◽  
Lifei Song ◽  
Mao Zheng ◽  
Shixin Chu ◽  
...  
Keyword(s):  
System Theory ◽  
Stability Theory ◽  
High Speed ◽  
Control Algorithm ◽  
Standard Form ◽  
System Stability ◽  
Stabilization Control ◽  
Average System ◽  
Marine Vehicle ◽  
Point Stabilization

Point stabilization control of a class of asymmetric underactuated high-speed unmanned marine vehicle is discussed, and a robust exponential stabilization control algorithm is proposed based on homogeneous theory, average system theory, and nonlinear backstepping technology. Firstly, point stabilization control problem of a high-speed underactuated unmanned marine vehicle with model asymmetry is formulated, and then global differential homeomorphism transformation is designed, in order to overcome the difficulties caused by unmanned marine vehicle with model asymmetry. Secondly, the control system is transformed into the standard form of homogeneous interference system by output state variable transformation design and input transformation design. A novel interference function is designed, and then difficulties caused by the higher order velocities in damping coefficients are solved, via homogeneous stability design and homogeneity degree analyzing the expansion of the designed new state variables. Thirdly, by introducing the virtual input of backstepping and the average system theory, point stabilization controller for the underactuated high-speed unmanned marine vehicle is proposed based on homogeneous theory, which could achieve global and periodic time-varying robust exponential stability, and then stability of the point stabilization control algorithm is proved by using homogeneous stability theory and average system stability theory. At last, the effectiveness and accuracy of the control algorithm proposed is verified by semi-physical simulation experiment carried out in our laboratory.

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