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On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
Andriy Shatyrko1, Denys Khusainov1
1Department of Complex Systems Modelling, Cybernetics Faculty, Taras Shevchenko National University of Kyiv, Volodymyrska Str., 64, Kyiv 01601, Ukraine.
Thescientificworldjournal
|November 16, 2016
Summary
New conditions for interval absolute stability in nonlinear control systems with delays and neutral type are established. The Lyapunov-Krasovskii functional method ensures system stability analysis for these complex systems.
Area of Science:
- Control Theory
- Differential Equations
- Nonlinear Systems
Background:
- Nonlinear control systems with time delays present significant analytical challenges.
- Ensuring interval absolute stability is crucial for reliable system performance.
- Neutral type systems introduce additional complexities in stability analysis.
Purpose of the Study:
- To derive sufficient conditions for interval absolute stability.
- To address nonlinear control systems with delay arguments and neutral type.
- To advance the theoretical understanding of stability in complex dynamical systems.
Main Methods:
- Utilizing the Lyapunov-Krasovskii functional method.
- Constructing functionals as a sum of quadratic components and integrals of nonlinearities.
- Applying these methods to systems of ordinary differential equations with delays.
Main Results:
- Sufficient conditions for interval absolute stability have been obtained.
- The derived conditions are applicable to nonlinear systems with delay arguments.
- The methodology accommodates systems of the neutral type.
Conclusions:
- The study provides effective criteria for guaranteeing interval absolute stability.
- The Lyapunov-Krasovskii functional approach is validated for complex delayed systems.
- This research contributes to the robust design of nonlinear control systems.
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