Title :
A nontangency-based sufficient condition for boundedness of orbits
Author_Institution :
Dept. of Aerosp. Eng., Indian Inst. of Technol., Mumbai, India
Abstract :
We give a Lyapunov test for the boundedness of orbits of a dynamical system. Unlike previous sufficient conditions for boundedness, our test does not require the Lyapunov function to be proper or weakly proper. Instead, our result uses a nontangency condition between the dynamics and the zero level set of the Lyapunov function.
Keywords :
Lyapunov methods; Lyapunov function; dynamical system; nontangency-based sufficient condition; Aerodynamics; Aerospace testing; Convergence; H infinity control; Level set; Lyapunov method; Orbits; Stability analysis; Sufficient conditions; System testing;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1271899
