TY - JOUR
T1 - Invariance entropy for random control systems
AU - Da Silva, Adriano J.
PY - 2013/12
Y1 - 2013/12
N2 - For continuous-time random control systems, this paper introduces invariance entropy for random pairs as a measure for the amount of information necessary to achieve invariance of random weakly invariant compact subsets of the state space. For linear random control systems with compact control range, the invariance entropy is given by the sum of the real parts of the unstable eigenvalues of the uncontrolled system if we assume ergodicity.
AB - For continuous-time random control systems, this paper introduces invariance entropy for random pairs as a measure for the amount of information necessary to achieve invariance of random weakly invariant compact subsets of the state space. For linear random control systems with compact control range, the invariance entropy is given by the sum of the real parts of the unstable eigenvalues of the uncontrolled system if we assume ergodicity.
KW - Invariance entropy
KW - Random control systems
KW - Random pairs
UR - https://www.scopus.com/pages/publications/84889887186
U2 - 10.1007/s00498-013-0111-9
DO - 10.1007/s00498-013-0111-9
M3 - Article
AN - SCOPUS:84889887186
SN - 0932-4194
VL - 25
SP - 491
EP - 516
JO - Mathematics of Control, Signals, and Systems
JF - Mathematics of Control, Signals, and Systems
IS - 4
ER -