ଗୋଟିଏ autonomous nonlinear dynamical ସିଷ୍ଟମ କଥା ବିଚାରକୁ ନିଅନ୍ତୁ 

ଯେଉଁଠାରେ formula_9 system state vectorକୁ ସୁଚାଏ, formula_10 ହେଉଛି originକୁ ଧାରଣ କରିଥିବା ଏକ open ସେଟ୍, ଏବଂ formula_11 continuous on formula_10. ମନେକର formula_1ଠାରେ formula_14ର ଏକ equilibrium ଅଛି ଯେପରିକି formula_15 ତା'ହେଲେ


Conceptually, the meanings of the above terms are the following:

The trajectory "x" is (locally) "attractive" if

(where y(t) denotes the system output) for formula_33 for all trajectories that start close enough, and "globally attractive" if this property holds for all trajectories.

That is, if "x" belongs to the interior of its stable manifold, it is "asymptotically stable" if it is both attractive and stable. (There are counterexamples showing that attractivity does not imply asymptotic stability. Such examples are easy to create using homoclinic connections.)

ଇତିହାସ
continuous-time ସିଷ୍ଟମ ଗୁଡ଼ିକ ପାଇଁ ସଂଜ୍ଞା
Stability for linear state space models
Example