On the \(\phi{}_ 0\)-stability of comparison differential systems
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Publication:1193160
DOI10.1016/0022-247X(92)90116-UzbMath0755.34044MaRDI QIDQ1193160
Olusola Akinyele, Edet P. Akpan
Publication date: 27 September 1992
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
conecomparison principlevector Lyapunov functionscomparison system\(\varphi_ 0\)- stability\(\varphi_ 0\)-equistablecone- valued Lyapunov functions
Lyapunov and storage functions (93D30) Stability of solutions to ordinary differential equations (34D20)
Related Items (23)
On stability for impulsive perturbed systems via cone-valued Lyapunov function method ⋮ On \(\phi_0\)-stability of a class of singular difference equations ⋮ \(\phi_{0}\)-stability of an impulsive system obtained from perturbing Lyapunov functions ⋮ On the \(\phi_ 0\)-stability of functional differential equations ⋮ Cone-valued lyapunov functions and the stability of stochastic differential equations ⋮ Stability of large scale systems and the method of cone-valued lyapunov functions ⋮ \(\varphi _{0}\)-boundedness and practical \(\varphi _{0}\)-stability of difference equations ⋮ \(\Phi_{0}\)-stability of discrete hybrid systems via variational Lyapunov method ⋮ Cone-valued Lyapunov functions and stability for impulsive functional differential equations ⋮ Integral stability criteria of nonlinear differential systems ⋮ On stability of nonlinear systems of ordinary differential equations ⋮ On \(\phi_{0}\)-stability of difference equations ⋮ Stability on a cone in terms of two measures for impulsive differential equations with ``supremum ⋮ Lipschitz stability with perturbing Liapunov functionals. ⋮ On practical stability of perturbed differential systems ⋮ On Lipschitz stability for comparison systems of differential equations via limiting equation ⋮ On cone perturbing Lyapunov function for impulsive differential systems ⋮ On relative \(\phi_{0}\)-stability of impulsive hybrid systems via perturbing Lyapunov functions ⋮ \(\phi_{0}\)-stability of hybrid impulsive dynamic systems on time scales ⋮ On stability of nonlinear systems of functional-differential equations ⋮ On \(\phi_0\)-stability for nonlinear Volterra integrodifferential systems ⋮ Lipschitz stability criteria for a generalized delayed Kolmogorov model. ⋮ On stability of nonlinear differential systems via cone-valued Lyapunov function method
Cites Work
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- Qualitative analysis of large scale dynamical systems
- On the quasimonotonicity of linear differential systems
- Competitive Processes and Comparison Differential Systems
- Cone-valued Lyapunov functions
- Asymptotic stability and instability of large-scale systems
- Some Refinements of Lyapunov's Second Method
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