Vector Lyapunov functions and conditional stability

DOI10.1016/0022-247X(65)90132-0zbMath0161.06401MaRDI QIDQ2528703

Vangipuram Lakshmikantham

Publication date: 1965

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equations

Related Items

Expansion of the space state of dynamic systems and the stability problem ⋮ Global asymptotic stability for half-linear differential systems with generalized almost periodic coefficients ⋮ Systems of differential inequalities and stochastic differential equations. II ⋮ On controllability of nonlinear systems under phase restrictions and persistent perturbations ⋮ Conditionally invariant sets and vector Lyapunov functions ⋮ Parabolic differential equations and conditional stability ⋮ Converse theorems for conditional stability of motion ⋮ Conditional invariant sets and functional differential equations ⋮ Classification of stability-like concepts and their study using vector Lyapunov functions ⋮ Complex differential systems and extension of Lyapunov's method ⋮ A brief biography and survey of collected works of V. Lakshmikantham ⋮ Conditional stability and separation of solutions to differential equations ⋮ On certain theorems of Liapunov's second method

Cites Work

• Lyapunov function and a basic inequality in delay-differential equations
• Differential systems and extension of Lyapunov's method
• Parabolic differential equations and Lyapunov like functions
• Functional differential systems and extension of Lyapunov's method
• On the theory of stability of motion
• Vector Lyapunov Functions
• Upper and Lower Bounds of the Norm of Solutions of Differential Systems
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