Time delayed system stability theory in the sense of non-Lyapunov delay independent and delay dependent approach: New results

2011 ◽  
Author(s):  
D. Lj. Debeljkovic ◽  
I. Buzurovic ◽  
T. Nestorovic ◽  
S. B. Stojanovic ◽  
N. J. Dimitrijevic ◽  
...  
Keyword(s):  
Stability Theory ◽  
System Stability ◽  
Delayed System ◽  
Delay Dependent

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

scholarly journals Resilient Robust Finite-TimeL2-L∞Controller Design for Uncertain Neutral System with Mixed Time-Varying Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Xia Chen ◽  
Shuping He
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Controller Design ◽  
Linear Matrix ◽  
Neutral System ◽  
Time Varying ◽  
Constraint Condition ◽  
Closed Loop System ◽  
Delayed System ◽  
Delay Dependent

The delay-dependent resilient robust finite-timeL2-L∞control problem of uncertain neutral time-delayed system is studied. The disturbance input is assumed to be energy bounded and the time delays are time-varying. Based on the Lyapunov function approach and linear matrix inequalities (LMIs) techniques, a state feedback controller is designed to guarantee that the resulted closed-loop system is finite-time bounded for all uncertainties and to satisfy a givenL2-L∞constraint condition. Simulation results illustrate the validity of the proposed approach.

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 Sssc Based Time Delay Compensator Design for Interconnected Power System

2019 ◽  
Vol 8 (11) ◽  
pp. 4117-4121
Keyword(s):  
Time Delay ◽  
Power System ◽  
System Stability ◽  
Area Measurement ◽  
Wide Area ◽  
Feedback Signal ◽  
Signal Delay ◽  
Interconnected Power System ◽  
Wide Area Measurement System ◽  
Delay Dependent

In this paper, researcher designed a delay-dependent wide-area damping controller based on Static Synchronous Series Compensator (SSSC) to enhance the power system stability by using remote signal obtained from Wide-Area Measurement System (WAMS). This remote signals introduces a time delay in the feedback signal, as a result, degrade the system damping performance and even causes instability of close loop power system. To find out various controller parameters, use of Genetic Algorithm (GA) is adopted. The performance of Multi-Machines system is evaluated with proposed controller including signal delay and Conventional PSS(CPSS) in MATLAB simulation. Various results show that SSSC based controller damp-out the inter-area oscillations under small disturbance more effectively as compare to LPSS

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