Positive N-periodic descriptor control systems

Quadratic Stability of a Class of Switched Nonlinear Systems

“…Switched singular systems constitute an important class of switched systems, which arise in electrical networks [11,12],economic systems [13]. The analysis of switched singular systems is more sophisticated, since discrete dynamic, regularity, impulse elimination and state consistence of such systems should be considered at the same time.…”

Discrete-Time Positive Periodic Systems With State and Control Constraints

“…Agriculture applications of positive periodic systems can be found in [19], [22]. In [23] an extension to the class of descriptor positive periodic systems has been considered.…”

Reachability analysis of switched linear discrete singular systems

“…may occur [13]. For dynamic economic systems, as pointed out by Cantó et al [12], when the interrelationships among different industrial sectors are described, and the capital and the demand are variable depending on seasons, the system can be modelled as a periodically switched singular systems.…”

“…Recently, some preliminary results on switched linear singular systems have been given (e.g. [12,15,18,19]). In [18], the reachability of switched linear continuous singular systems is studied, and some necessary conditions and sufficient conditions are presented.…”

“…The controllability and solvability of the switched linear discrete singular (SLDS) systems with periodical switching law are considered in [12,15] respectively.…”