Abstract
In this paper, we introduce a new type of stability for nonlinear impulsive systems of differential equations, namely practical h-stability. By using the Lyapunov stability theory, some sufficient conditions which guarantee practical h-stability are established. Our original results generalize well-known fundamental stability results, practical stability, practical exponential stability and practical asymptotic stability for nonlinear time-varying impulsive systems. Then two classes of nonlinear impulsive systems, namely perturbed and cascaded impulsive systems, are discussed. Furthermore, the problem of practical h-stabilization for certain classes of nonlinear impulsive systems is considered. Finally, two numerical examples are given to show the effectiveness of our theoretical results.
References
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- B-essential spectra of 2 × 2 block operator matrix pencils
- New results on perturbations of p-adic linear operators
- Approximation by matrix transform means with respect to the character system of the group of 2-adic integers
- Pentactions and action representability in the category of reduced groups with action
- On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded
- Further inequalities for the 𝔸-numerical radius of certain 2 × 2 operator matrices
- A generalization of practical stability of nonlinear impulsive systems
- Properties of rational Fourier series and generalized Wiener class
- Some identities on degenerate hyperharmonic numbers
- Generalized Pohozhaev’s identity for radial solutions of p-Laplace equations
- Classes of trivial ring extensions and amalgamations subject to pseudo-almost valuation condition
- Anisotropic nonlinear weighted elliptic equations with variable exponents
- Finite groups in which every non-nilpotent subgroup is a TI-subgroup or has p;'-order
- Finite-time attractivity of strong solutions for generalized nonlinear abstract Rayleigh–Stokes equations
- Reproducing kernels and minimal solutions of elliptic equations
Artikel in diesem Heft
- Frontmatter
- B-essential spectra of 2 × 2 block operator matrix pencils
- New results on perturbations of p-adic linear operators
- Approximation by matrix transform means with respect to the character system of the group of 2-adic integers
- Pentactions and action representability in the category of reduced groups with action
- On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded
- Further inequalities for the 𝔸-numerical radius of certain 2 × 2 operator matrices
- A generalization of practical stability of nonlinear impulsive systems
- Properties of rational Fourier series and generalized Wiener class
- Some identities on degenerate hyperharmonic numbers
- Generalized Pohozhaev’s identity for radial solutions of p-Laplace equations
- Classes of trivial ring extensions and amalgamations subject to pseudo-almost valuation condition
- Anisotropic nonlinear weighted elliptic equations with variable exponents
- Finite groups in which every non-nilpotent subgroup is a TI-subgroup or has p;'-order
- Finite-time attractivity of strong solutions for generalized nonlinear abstract Rayleigh–Stokes equations
- Reproducing kernels and minimal solutions of elliptic equations