Stability of moving invariant sets and uncertain dynamic systems on time scales

DOI10.1016/S0898-1221(98)80034-5zbMath0933.93058MaRDI QIDQ1962899

Seenith Sivasundaram, Vangipuram Lakshmikantham

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityuncertain dynamic systemsmoving invariant setssystem on time scales

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items (9)

Existence of weak solutions of two-point boundary value problems for second-order dynamic equations on time scales ⋮ Strict stability criteria for dynamic systems on time scales ⋮ Nonlinear integro-differential equations and optimal control problems on time scales ⋮ Stochastic analysis on time scales ⋮ Stabilization of sets with application to multi-vehicle coordinated motion ⋮ Necessary conditions of optimality for a class of optimal control problems on time scales ⋮ Stability criteria for set dynamic equations on time scales ⋮ Uniform eventual Lipschitz stability of impulsive systems on time scales ⋮ Time scale state feedback h-stabilisation of linear systems under Lipschitz-type disturbances

Cites Work

• Stability of conditionally invariant sets and controlled uncertain dynamic systems on time scales
• One approach to the control of uncertain dynamical systems
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