Mode-observability degree in discrete-time switching linear systems

Input distinguishability of linear dynamic control systems

“…The switched system is an important case of a hybrid system. As a special kind of linear switched systems has been extensively investigated [1][2][3][4][5]. When we consider the observability of switched systems composed by time-invariant subsystems, distinguishability plays a crucial role (see [6]).…”

“…[10] for continuous linear control homogenous systems, Lou et al [4] for continuous linear control inhomogeneous systems and recently, relatively easy equivalent conditions to verify distinguishability are presented in [3]. For discrete switched case, Baglietto et al [1,2], considered the problem of identifying a discrete-time nonlinear system, within a finite family of possible models, from data sequences of a finite length. The problem is approached by resorting to the notion of output distinguishability.…”

Model-Based Modes Detection and Discernibility for Switched Affine Discrete-Time Systems

“…A sufficient condition for discernibility to hold is the so-called mode observability as introduced in [25]. Such a notion has also been investigated in [26]- [28] and revisited to be appropriate to nonlinear switched systems or to cope with noisy measurements. Less restrictive conditions can be found in the literature like Backward Discernibility and Forward Discernibility [23], (η, ω)-discernibility [20].…”

Secure state estimation for Cyber-Physical Systems

“…This problem has been extensively addressed in the literature for hybrid and switching systems when the continuous input and output information is not corrupted by failures or malicious attacks (see [6] and references therein for a complete review of existing results on this topic). In [2] the authors investigate the problem of identifying the current location of a switching system when the continuous measurement signal is corrupted by noise. This disturbance is assumed to have bounded magnitude and therefore the results in [2] do not apply to the case in which the additive signal is not a measurement noise but an attack performed by a malicious attacker, the magnitude of which can be unbounded.…”

“…In [2] the authors investigate the problem of identifying the current location of a switching system when the continuous measurement signal is corrupted by noise. This disturbance is assumed to have bounded magnitude and therefore the results in [2] do not apply to the case in which the additive signal is not a measurement noise but an attack performed by a malicious attacker, the magnitude of which can be unbounded. Making use of the formalism introduced in [5] and further developed in [6], where the authors address the problem of discrete state reconstruction for ideal autonomous and controlled hybrid systems, we investigate the scenario in which the continuous input and output signals may be corrupted by additive malicious attacks.…”