Topological dynamics of control systems: Stability and attraction

DOI10.1016/0362-546X(86)90142-2zbMath0611.93052MaRDI QIDQ3752266

Andrea Bacciotti, Nicholas Kalouptsidis

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

topological dynamicsattractiondynamical polysystems

Mathematics Subject Classification ID

Related Items (16)

Lagrange stability and asymptotic periods ⋮ Stabilities in multi-valued dynamical systems ⋮ Stability of dynamical polysystems via families of Liapunov functions ⋮ A Lyapunov description of stability in control systems ⋮ Geometrical and topological methods in optimal control theory ⋮ Lyapunov stability and weak attraction for control systems ⋮ Asymptotic stability in general dynamical systems ⋮ Lyapunov functions and stability of dynamical polysystems ⋮ Prolongations and stability analysis via lyapunov functions of dynamical polysystems ⋮ Conley's theorem for dispersive systems ⋮ Stabilization of affine in control nonlinear systems ⋮ Topological properties of prolongations and stable sets for semigroup actions ⋮ Stabilization by means of state space depending switching rules ⋮ On dynamical stability in general dynamical systems ⋮ Characterization of uniform attractors for control systems ⋮ On dynamical properties of general dynamical systems and differential inclusions

Cites Work

• Prolongations and stability in dynamical systems
• Prolongations and Lyapunov functions in control systems
• Stability analysis of the orbits of control systems
• Existence and uniqueness of minimal realizations of nonlinear systems
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