Conewise Linear Systems: Non‐Zenoness and Observability
نویسندگان
چکیده
منابع مشابه
Conewise Linear Systems: Non-Zenoness and Observability
Conewise linear systems are dynamical systems in which the state space is partitioned into a finite number of nonoverlapping polyhedral cones on each of which the dynamics of the system is described by a linear differential equation. This class of dynamical systems represents a large number of piecewise linear systems, most notably, linear complementarity systems with the P-property and their g...
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Belonging to the broad framework of hybrid systems, conewise linear systems (CLSs) form a class of Lipschitz piecewise linear systems subject to state-triggered mode switchings. Motivated by state estimation of nonsmooth switched systems in applications, we exploit directional derivative and positive invariance techniques to characterize finite-time and long-time local observability of a genera...
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Being a unique phenomenon in hybrid systems, mode switch is of fundamental importance in dynamic and control analysis. In this paper, we focus on global long-time switching and stability properties of conewise linear systems (CLSs), which are a class of linear hybrid systems subject to state-triggered switchings recently introduced for modeling piecewise linear systems. By exploiting the conic ...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2006
ISSN: 0363-0129,1095-7138
DOI: 10.1137/050645166