Title :
Further conditions on the stability of continuous time systems with saturation
Author :
Albertini, Francesca ; D´Alessandro, Domenico ; Paice, Andrew D B
Author_Institution :
Dipt. di Matematica Pura e Applicata, Padova Univ., Italy
fDate :
5/1/2000 12:00:00 AM
Abstract :
The global asymptotic stability of the origin for systems described by x˙=σ¯(Ax), where σ¯ is the saturation function, is studied. The case x(t)∈ℛ2 is treated in detail and conditions which are necessary and sufficient are obtained. Examples are presented to illustrate the ideas developed in the paper
Keywords :
asymptotic stability; continuous time systems; limit cycles; continuous time systems; global asymptotic stability; limit cycles; saturation function; Analog circuits; Asymptotic stability; Circuit stability; Continuous time systems; Control system synthesis; Mathematics; Neural networks; Stability analysis; Sufficient conditions; Symmetric matrices;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
