The strict stability of dynamic systems on time scales.
Sivasundaram, S. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “On Lyapunov inequality in stability theory for Hill's equation on time scales.”
The strict stability of dynamic systems on time scales.
Stability of linear dynamic systems on time scales.
Choi, Sung Kyu, Im, Dong Man, Koo, Namjip (2008)
Advances in Difference Equations [electronic only]
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Lyapunov stability of quasilinear implicit dynamic equations on time scales.
Du, N.H., Liem, N.C., Chyan, C.J., Lin, S.W. (2011)
Journal of Inequalities and Applications [electronic only]
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-stability of dynamic equations on time scales with nonregressivity.
Choi, Sung Kyu, Goo, Yoon Hoe, Koo, Namjip (2008)
Abstract and Applied Analysis
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Lyapunov stability theory for dynamic systems on time scales.
Kaymakçalan, Billur (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Some results on stability of difference systems.
Yang, Xiao-Song, Zhou, Ping (2002)
Discrete Dynamics in Nature and Society
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On the system of two nonlinear difference equations .
Papaschinopoulos, G., Schinas, C.J. (2000)
International Journal of Mathematics and Mathematical Sciences
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Stability of solutions of a nonstandard ordinary differential system by Lyapunov's second method.
Venkatesulu, M., Srinivasu, P.D.N. (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Exponential stability of dynamic equations on time scales.
Peterson, Allan C., Raffoul, Youssef N. (2005)
Advances in Difference Equations [electronic only]
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Stability analysis in terms of two measures for dynamic systems on time scales.
Kaymakçalan, Billûr (1993)
Journal of Applied Mathematics and Stochastic Analysis
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On Lyapunov stability/instability of equilibria of free damped pendulum with periodically oscillating suspension point
Jiří Šremr (2025)
Applications of Mathematics
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We discuss Lyapunov stability/instability of both lower and upper equilibria of free damped pendulum with periodically oscillating suspension point. We recall the results of Bogolyubov and Kapitza, provide new effective criteria of stability/instability of the equilibria of pendulum equation, and give the exact and complete proofs. The criteria obtained are formulated in terms of positivity/negativity of Green's functions of the periodic boundary value problems for linearized equations....
Lyapunov inequalities for time scales.
Bohner, Martin, Clark, Stephen, Ridenhour, Jerry (2002)
Journal of Inequalities and Applications [electronic only]
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Stability of a class of adaptive nonlinear systems
Andrzej Dzielinski (2005)
International Journal of Applied Mathematics and Computer Science
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This paper presents a research effort focused on the problem of robust stability of the closed-loop adaptive system. It is aimed at providing a general framework for the investigation of continuous-time, state-space systems required to track a (stable) reference model. This is motivated by the model reference adaptive control (MRAC) scheme, traditionally considered in such a setting. The application of differential inequlities results to the analysis of the Lyapunov stability for a class...