Hyperstability
Encyclopedia
In stability theory
, hyperstability is a property of a system that requires the state vector
to remain bounded if the inputs are restricted to belonging to a subset of the set of all possible inputs. http://users.rsise.anu.edu.au/~briandoa/pubs/R51AN68.pdf
Definition: A system is hyperstable if there are two constants
such that any state trajectory of the system satisfies the inequality:
Stability theory
In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions...
, hyperstability is a property of a system that requires the state vector
State vector
*A state vector in general control systems describes the observed states of an object in state space, e.g. in variables of the degrees of freedom for motion *A state vector in general control systems describes the observed states of an object in state space, e.g. in variables of the degrees of...
to remain bounded if the inputs are restricted to belonging to a subset of the set of all possible inputs. http://users.rsise.anu.edu.au/~briandoa/pubs/R51AN68.pdf
Definition: A system is hyperstable if there are two constants
such that any state trajectory of the system satisfies the inequality: